int main(int argc, char **args)
{
// Test variable.
int success_test = 1;
if (argc < 2) error("Not enough parameters.");
// Load the mesh.
Mesh mesh;
H3DReader mloader;
if (!mloader.load(args[1], &mesh)) error("Loading mesh file '%s'.", args[1]);
// Initialize the space 1.
Ord3 o1(2, 2, 2);
H1Space space1(&mesh, bc_types, NULL, o1);
// Initialize the space 2.
Ord3 o2(4, 4, 4);
H1Space space2(&mesh, bc_types, NULL, o2);
WeakForm wf(2);
wf.add_matrix_form(0, 0, bilinear_form_1_1<double, scalar>, bilinear_form_1_1<Ord, Ord>, HERMES_SYM);
wf.add_matrix_form(0, 1, bilinear_form_1_2<double, scalar>, bilinear_form_1_2<Ord, Ord>, HERMES_SYM);
wf.add_vector_form(0, linear_form_1<double, scalar>, linear_form_1<Ord, Ord>);
wf.add_matrix_form(1, 1, bilinear_form_2_2<double, scalar>, bilinear_form_2_2<Ord, Ord>, HERMES_SYM);
wf.add_vector_form(1, linear_form_2<double, scalar>, linear_form_2<Ord, Ord>);
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem dp(&wf, Tuple<Space *>(&space1, &space2), is_linear);
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble the linear problem.
info("Assembling (ndof: %d).", Space::get_num_dofs(Tuple<Space *>(&space1, &space2)));
dp.assemble(matrix, rhs);
// Solve the linear system. If successful, obtain the solution.
info("Solving.");
Solution sln1(&mesh);
Solution sln2(&mesh);
if(solver->solve()) Solution::vector_to_solutions(solver->get_solution(), Tuple<Space *>(&space1, &space2), Tuple<Solution *>(&sln1, &sln2));
else error ("Matrix solver failed.\n");
ExactSolution ex_sln1(&mesh, exact_sln_fn_1);
ExactSolution ex_sln2(&mesh, exact_sln_fn_2);
// Calculate exact error.
info("Calculating exact error.");
Adapt *adaptivity = new Adapt(Tuple<Space *>(&space1, &space2), Tuple<ProjNormType>(HERMES_H1_NORM, HERMES_H1_NORM));
bool solutions_for_adapt = false;
double err_exact = adaptivity->calc_err_exact(Tuple<Solution *>(&sln1, &sln2), Tuple<Solution *>(&ex_sln1, &ex_sln2), solutions_for_adapt, HERMES_TOTAL_ERROR_ABS);
if (err_exact > EPS)
// Calculated solution is not precise enough.
success_test = 0;
// Clean up.
delete matrix;
delete rhs;
delete solver;
delete adaptivity;
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}
int main(int argc, char **args)
{
// Load the mesh.
Mesh mesh;
H3DReader mesh_loader;
mesh_loader.load("fichera-corner.mesh3d", &mesh);
// Perform initial mesh refinement.
for (int i=0; i < INIT_REF_NUM; i++) mesh.refine_all_elements(H3D_H3D_H3D_REFT_HEX_XYZ);
// Create an H1 space with default shapeset.
H1Space space(&mesh, bc_types, essential_bc_values, Ord3(P_INIT_X, P_INIT_Y, P_INIT_Z));
// Initialize weak formulation.
WeakForm wf;
wf.add_matrix_form(bilinear_form<double, double>, bilinear_form<Ord, Ord>, HERMES_SYM, HERMES_ANY);
wf.add_vector_form(linear_form<double, double>, linear_form<Ord, Ord>, HERMES_ANY);
// Set exact solution.
ExactSolution exact(&mesh, fndd);
// DOF and CPU convergence graphs.
SimpleGraph graph_dof_est, graph_cpu_est, graph_dof_exact, graph_cpu_exact;
// Time measurement.
TimePeriod cpu_time;
cpu_time.tick();
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Adaptivity loop.
int as = 1;
bool done = false;
do
{
info("---- Adaptivity step %d:", as);
// Construct globally refined reference mesh and setup reference space.
Space* ref_space = construct_refined_space(&space,1 , H3D_H3D_H3D_REFT_HEX_XYZ);
// Initialize discrete problem.
bool is_linear = true;
DiscreteProblem dp(&wf, ref_space, is_linear);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble the reference problem.
info("Assembling on reference mesh (ndof: %d).", Space::get_num_dofs(ref_space));
dp.assemble(matrix, rhs);
// Time measurement.
cpu_time.tick();
// Solve the linear system on reference mesh. If successful, obtain the solution.
info("Solving on reference mesh.");
Solution ref_sln(ref_space->get_mesh());
if(solver->solve()) Solution::vector_to_solution(solver->get_solution(), ref_space, &ref_sln);
else error ("Matrix solver failed.\n");
// Time measurement.
cpu_time.tick();
// Project the reference solution on the coarse mesh.
Solution sln(space.get_mesh());
info("Projecting reference solution on coarse mesh.");
OGProjection::project_global(&space, &ref_sln, &sln, matrix_solver);
// Time measurement.
cpu_time.tick();
// Output solution and mesh with polynomial orders.
if (solution_output)
{
out_fn_vtk(&sln, "sln", as);
out_orders_vtk(&space, "order", as);
}
// Skip the visualization time.
cpu_time.tick(HERMES_SKIP);
// Calculate element errors and total error estimate.
info("Calculating error estimate and exact error.");
Adapt *adaptivity = new Adapt(&space, HERMES_H1_NORM);
bool solutions_for_adapt = true;
double err_est_rel = adaptivity->calc_err_est(&sln, &ref_sln, solutions_for_adapt) * 100;
// Calculate exact error.
solutions_for_adapt = false;
double err_exact_rel = adaptivity->calc_err_exact(&sln, &exact, solutions_for_adapt) * 100;
// Report results.
info("ndof_coarse: %d, ndof_fine: %d.", Space::get_num_dofs(&space), Space::get_num_dofs(ref_space));
info("err_est_rel: %g%%, err_exact_rel: %g%%.", err_est_rel, err_exact_rel);
// Add entry to DOF and CPU convergence graphs.
graph_dof_est.add_values(Space::get_num_dofs(&space), err_est_rel);
graph_dof_est.save("conv_dof_est.dat");
graph_cpu_est.add_values(cpu_time.accumulated(), err_est_rel);
graph_cpu_est.save("conv_cpu_est.dat");
graph_dof_exact.add_values(Space::get_num_dofs(&space), err_exact_rel);
graph_dof_exact.save("conv_dof_exact.dat");
graph_cpu_exact.add_values(cpu_time.accumulated(), err_exact_rel);
graph_cpu_exact.save("conv_cpu_exact.dat");
// If err_est_rel is too large, adapt the mesh.
if (err_est_rel < ERR_STOP) done = true;
else
{
info("Adapting coarse mesh.");
adaptivity->adapt(THRESHOLD);
}
if (Space::get_num_dofs(&space) >= NDOF_STOP) done = true;
// Clean up.
delete ref_space->get_mesh();
delete ref_space;
delete matrix;
delete rhs;
delete solver;
delete adaptivity;
// Increase the counter of performed adaptivity steps.
as++;
} while (!done);
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
return 1;
}
int main(int argc, char **args)
{
// Test variable.
int success_test = 1;
if (argc < 2) error("Not enough parameters.");
// Load the mesh.
Mesh mesh;
H3DReader mloader;
if (!mloader.load(args[1], &mesh)) error("Loading mesh file '%s'.", args[1]);
// Initialize the space.
#if defined NONLIN1
Ord3 order(1, 1, 1);
#else
Ord3 order(2, 2, 2);
#endif
H1Space space(&mesh, bc_types, essential_bc_values, order);
#if defined NONLIN2
// Do L2 projection of zero function.
WeakForm proj_wf;
proj_wf.add_matrix_form(biproj_form<double, scalar>, biproj_form<Ord, Ord>, HERMES_SYM);
proj_wf.add_vector_form(liproj_form<double, scalar>, liproj_form<Ord, Ord>);
bool is_linear = true;
DiscreteProblem lp(&proj_wf, &space, is_linear);
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver_proj = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver_proj)->set_solver(iterative_method);
((AztecOOSolver*) solver_proj)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble the linear problem.
info("Assembling (ndof: %d).", Space::get_num_dofs(&space));
lp.assemble(matrix, rhs);
// Solve the linear system.
info("Solving.");
if(!solver_proj->solve());
error ("Matrix solver failed.\n");
delete matrix;
delete rhs;
#endif
// Initialize the weak formulation.
WeakForm wf(1);
wf.add_matrix_form(0, 0, jacobi_form<double, scalar>, jacobi_form<Ord, Ord>, HERMES_UNSYM);
wf.add_vector_form(0, resid_form<double, scalar>, resid_form<Ord, Ord>);
// Initialize the FE problem.
#if defined NONLIN2
is_linear = false;
#else
bool is_linear = false;
#endif
DiscreteProblem dp(&wf, &space, is_linear);
NoxSolver solver(&dp);
#if defined NONLIN2
solver.set_init_sln(solver_proj->get_solution());
delete solver_proj;
#endif
solver.set_conv_iters(10);
info("Solving.");
Solution sln(&mesh);
if(solver.solve()) Solution::vector_to_solution(solver.get_solution(), &space, &sln);
else error ("Matrix solver failed.\n");
Solution ex_sln(&mesh);
#ifdef NONLIN1
ex_sln.set_const(100.0);
#else
ex_sln.set_exact(exact_solution);
#endif
// Calculate exact error.
info("Calculating exact error.");
Adapt *adaptivity = new Adapt(&space, HERMES_H1_NORM);
bool solutions_for_adapt = false;
double err_exact = adaptivity->calc_err_exact(&sln, &ex_sln, solutions_for_adapt, HERMES_TOTAL_ERROR_ABS);
if (err_exact > EPS)
// Calculated solution is not precise enough.
success_test = 0;
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}
int main(int argc, char **args)
{
// Time measurement.
TimePeriod cpu_time;
cpu_time.tick();
// Load the mesh.
Mesh mesh;
ExodusIIReader mesh_loader;
if (!mesh_loader.load("cylinder2.e", &mesh))
error("Loading mesh file '%s' failed.\n", "cylinder2.e");
// Perform initial mesh refinement.
for (int i=0; i < INIT_REF_NUM; i++) mesh.refine_all_elements(H3D_H3D_H3D_REFT_HEX_XYZ);
// Create H1 space with default shapeset.
H1Space space(&mesh, bc_types, essential_bc_values, Ord3(P_INIT_X, P_INIT_Y, P_INIT_Z));
info("Number of DOF: %d.", Space::get_num_dofs(&space));
// Initialize weak formulation.
WeakForm wf;
wf.add_matrix_form(callback(bilinear_form1), HERMES_SYM, 1);
wf.add_matrix_form(callback(bilinear_form2), HERMES_SYM, 2);
wf.add_vector_form(callback(linear_form), HERMES_ANY);
// Initialize discrete problem.
bool is_linear = true;
DiscreteProblem dp(&wf, &space, is_linear);
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble stiffness amtrix and load vector.
info("Assembling the linear problem (ndof: %d).", Space::get_num_dofs(&space));
dp.assemble(matrix, rhs);
// Solve the linear system. If successful, obtain the solution.
info("Solving the linear problem.");
Solution sln(space.get_mesh());
if(solver->solve()) Solution::vector_to_solution(solver->get_solution(), &space, &sln);
else error ("Matrix solver failed.\n");
// Output solution and the boundary condition.
if (solution_output)
{
out_fn_vtk(&sln, "sln");
out_bc_vtk(&mesh, "bc");
}
// Time measurement.
cpu_time.tick();
// Print timing information.
info("Solution and the boundary condition saved. Total running time: %g s", cpu_time.accumulated());
// Clean up.
delete matrix;
delete rhs;
delete solver;
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
return 0;
}
int main(int argc, char **args)
{
// Test variable.
int success_test = 1;
// Check the number of command-line parameters.
if (argc < 2) {
info("Use x, y, z, xy, xz, yz, or xyz as a command-line parameter.");
error("Not enough command-line parameters.");
}
// Determine anisotropy type from the command-line parameter.
ANISO_TYPE = parse_aniso_type(args[1]);
// Load the mesh.
Mesh mesh;
H3DReader mloader;
mloader.load("hex-0-1.mesh3d", &mesh);
// Assign the lowest possible directional polynomial degrees so that the problem's NDOF >= 1.
assign_poly_degrees();
// Create an H1 space with default shapeset.
info("Setting directional polynomial degrees %d, %d, %d.", P_INIT_X, P_INIT_Y, P_INIT_Z);
H1Space space(&mesh, bc_types, essential_bc_values, Ord3(P_INIT_X, P_INIT_Y, P_INIT_Z));
// Initialize weak formulation.
WeakForm wf;
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<Ord, Ord>, HERMES_SYM, HERMES_ANY);
wf.add_vector_form(linear_form<double, scalar>, linear_form<Ord, Ord>, HERMES_ANY);
// Set exact solution.
ExactSolution exact(&mesh, fndd);
// Time measurement.
TimePeriod cpu_time;
cpu_time.tick();
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Adaptivity loop.
int as = 1;
bool done = false;
do
{
info("---- Adaptivity step %d:", as);
// Construct globally refined reference mesh and setup reference space.
Space* ref_space = construct_refined_space(&space,1 , H3D_H3D_H3D_REFT_HEX_XYZ);
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem dp(&wf, ref_space, is_linear);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble the reference problem.
info("Assembling on reference mesh (ndof: %d).", Space::get_num_dofs(ref_space));
dp.assemble(matrix, rhs);
// Time measurement.
cpu_time.tick();
// Solve the linear system on reference mesh. If successful, obtain the solution.
info("Solving on reference mesh.");
Solution ref_sln(ref_space->get_mesh());
if(solver->solve()) Solution::vector_to_solution(solver->get_solution(), ref_space, &ref_sln);
else {
printf("Matrix solver failed.\n");
success_test = 0;
}
// Time measurement.
cpu_time.tick();
// Project the reference solution on the coarse mesh.
Solution sln(space.get_mesh());
info("Projecting reference solution on coarse mesh.");
OGProjection::project_global(&space, &ref_sln, &sln, matrix_solver);
// Time measurement.
cpu_time.tick();
// Output solution and mesh with polynomial orders.
if (solution_output)
{
out_fn_vtk(&sln, "sln", as);
out_orders_vtk(&space, "order", as);
}
// Skip the visualization time.
cpu_time.tick(HERMES_SKIP);
// Calculate element errors and total error estimate.
info("Calculating error estimate and exact error.");
Adapt *adaptivity = new Adapt(&space, HERMES_H1_NORM);
bool solutions_for_adapt = true;
double err_est_rel = adaptivity->calc_err_est(&sln, &ref_sln, solutions_for_adapt) * 100;
// Calculate exact error.
solutions_for_adapt = false;
double err_exact_rel = adaptivity->calc_err_exact(&sln, &exact, solutions_for_adapt) * 100;
// Report results.
info("ndof_coarse: %d, ndof_fine: %d.", Space::get_num_dofs(&space), Space::get_num_dofs(ref_space));
info("err_est_rel: %g%%, err_exact_rel: %g%%.", err_est_rel, err_exact_rel);
// If err_est_rel is too large, adapt the mesh.
if (err_est_rel < ERR_STOP) done = true;
else
{
info("Adapting coarse mesh.");
adaptivity->adapt(THRESHOLD);
}
if (Space::get_num_dofs(&space) >= NDOF_STOP) done = true;
// Clean up.
delete ref_space->get_mesh();
delete ref_space;
delete matrix;
delete rhs;
delete solver;
delete adaptivity;
// Increase the counter of performed adaptivity steps.
as++;
} while (!done);
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
// This is the actual test.
#define ERROR_SUCCESS 0
#define ERROR_FAILURE -1
int ndof_allowed;
switch (ANISO_TYPE) {
case ANISO_X: ndof_allowed = 28; break;
case ANISO_Y: ndof_allowed = 28; break;
case ANISO_Z: ndof_allowed = 28; break;
case ANISO_X | ANISO_Y: ndof_allowed = 98; break;
case ANISO_X | ANISO_Z: ndof_allowed = 98; break;
case ANISO_Y | ANISO_Z: ndof_allowed = 98; break;
case ANISO_X | ANISO_Y | ANISO_Z: ndof_allowed = 343; break;
default: error("Admissible command-line options are x, y, x, xy, xz, yz, xyz.");
}
int ndof = Space::get_num_dofs(&space);
info("ndof_actual = %d", ndof);
info("ndof_allowed = %d", ndof_allowed);
if (ndof > ndof_allowed)
success_test = 0;
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}
int main(int argc, char* argv[])
{
// Time measurement.
TimePeriod cpu_time;
cpu_time.tick();
// Load the mesh.
Mesh mesh;
H2DReader mloader;
mloader.load("domain.mesh", &mesh);
// Perform initial mesh refinements.
for (int i=0; i < INIT_REF_NUM; i++) mesh.refine_all_elements();
// Create an H1 space with default shapeset.
H1Space space(&mesh, bc_types, essential_bc_values, P_INIT);
int ndof = Space::get_num_dofs(&space);
info("ndof = %d", ndof);
// Initialize the weak formulation.
WeakForm wf;
wf.add_matrix_form(bilinear_form, bilinear_form_ord, HERMES_SYM);
wf.add_vector_form(linear_form, linear_form_ord);
wf.add_vector_form_surf(linear_form_surf, linear_form_surf_ord, BDY_VERTICAL);
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem dp(&wf, &space, is_linear);
initialize_solution_environment(matrix_solver, argc, argv);
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Initialize the solution.
Solution sln;
// Assemble the stiffness matrix and right-hand side vector.
info("Assembling the stiffness matrix and right-hand side vector.");
dp.assemble(matrix, rhs);
// Solve the linear system and if successful, obtain the solution.
info("Solving the matrix problem.");
if(solver->solve())
Solution::vector_to_solution(solver->get_solution(), &space, &sln);
else
error ("Matrix solver failed.\n");
// Time measurement.
cpu_time.tick();
// Clean up.
delete solver;
delete matrix;
delete rhs;
finalize_solution_environment(matrix_solver);
// View the solution and mesh.
ScalarView sview("Solution", new WinGeom(0, 0, 440, 350));
sview.show(&sln);
OrderView oview("Polynomial orders", new WinGeom(450, 0, 400, 350));
oview.show(&space);
// Skip visualization time.
cpu_time.tick(HERMES_SKIP);
// Print timing information.
verbose("Total running time: %g s", cpu_time.accumulated());
// Wait for all views to be closed.
View::wait();
return 0;
}
int main(int argc, char **args)
{
// Test variable.
int success_test = 1;
if (argc < 3) error("Not enough parameters.");
if (strcmp(args[1], "h1") != 0 && strcmp(args[1], "h1-ipol"))
error("Unknown type of the projection.");
// Load the mesh.
Mesh mesh;
H3DReader mloader;
if (!mloader.load(args[2], &mesh)) error("Loading mesh file '%s'.", args[1]);
// Refine the mesh.
mesh.refine_all_elements(H3D_H3D_H3D_REFT_HEX_XYZ);
// Initialize the space.
#if defined X2_Y2_Z2
Ord3 order(2, 2, 2);
#elif defined X3_Y3_Z3
Ord3 order(3, 3, 3);
#elif defined XN_YM_ZO
Ord3 order(2, 3, 4);
#endif
H1Space space(&mesh, bc_types, essential_bc_values, order);
// Initialize the weak formulation.
WeakForm wf;
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<Ord, Ord>, HERMES_SYM, HERMES_ANY);
wf.add_vector_form(linear_form<double, scalar>, linear_form<Ord, Ord>, HERMES_ANY);
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem dp(&wf, &space, is_linear);
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble the linear problem.
dp.assemble(matrix, rhs);
// Solve the linear system. If successful, obtain the solution.
info("Solving the linear problem.");
Solution sln(&mesh);
if(solver->solve()) Solution::vector_to_solution(solver->get_solution(), &space, &sln);
else {
info("Matrix solver failed.");
success_test = 0;
}
unsigned int ne = mesh.get_num_base_elements();
for (unsigned int idx = mesh.elements.first(); idx <= ne; idx = mesh.elements.next(idx)) {
Element *e = mesh.elements[idx];
Ord3 order(4, 4, 4);
double error;
Projection *proj;
if (strcmp(args[1], "h1") == 0) proj = new H1Projection(&sln, e, space.get_shapeset());
else if (strcmp(args[1], "h1-ipol") == 0) proj = new H1ProjectionIpol(&sln, e, space.get_shapeset());
else success_test = 0;
error = 0.0;
error += proj->get_error(H3D_REFT_HEX_NONE, -1, order);
error = sqrt(error);
if (error > EPS)
// Calculated solution is not precise enough.
success_test = 0;
//
error = 0.0;
error += proj->get_error(H3D_REFT_HEX_X, 20, order);
error += proj->get_error(H3D_REFT_HEX_X, 21, order);
error = sqrt(error);
if (error > EPS)
// Calculated solution is not precise enough.
success_test = 0;
//
error = 0.0;
error += proj->get_error(H3D_REFT_HEX_Y, 22, order);
error += proj->get_error(H3D_REFT_HEX_Y, 23, order);
error = sqrt(error);
if (error > EPS)
// Calculated solution is not precise enough.
success_test = 0;
//
error = 0.0;
error += proj->get_error(H3D_REFT_HEX_Z, 24, order);
error += proj->get_error(H3D_REFT_HEX_Z, 25, order);
error = sqrt(error);
if (error > EPS)
// Calculated solution is not precise enough.
success_test = 0;
//
error = 0.0;
error += proj->get_error(H3D_H3D_REFT_HEX_XY, 8, order);
error += proj->get_error(H3D_H3D_REFT_HEX_XY, 9, order);
error += proj->get_error(H3D_H3D_REFT_HEX_XY, 10, order);
error += proj->get_error(H3D_H3D_REFT_HEX_XY, 11, order);
error = sqrt(error);
if (error > EPS)
// Calculated solution is not precise enough.
success_test = 0;
//
error = 0.0;
error += proj->get_error(H3D_H3D_REFT_HEX_XZ, 12, order);
error += proj->get_error(H3D_H3D_REFT_HEX_XZ, 13, order);
error += proj->get_error(H3D_H3D_REFT_HEX_XZ, 14, order);
error += proj->get_error(H3D_H3D_REFT_HEX_XZ, 15, order);
error = sqrt(error);
if (error > EPS)
// Calculated solution is not precise enough.
success_test = 0;
//
error = 0.0;
error += proj->get_error(H3D_H3D_REFT_HEX_YZ, 16, order);
error += proj->get_error(H3D_H3D_REFT_HEX_YZ, 17, order);
error += proj->get_error(H3D_H3D_REFT_HEX_YZ, 18, order);
error += proj->get_error(H3D_H3D_REFT_HEX_YZ, 19, order);
error = sqrt(error);
if (error > EPS)
// Calculated solution is not precise enough.
success_test = 0;
//
error = 0.0;
for (int j = 0; j < 8; j++)
error += proj->get_error(H3D_H3D_H3D_REFT_HEX_XYZ, j, order);
error = sqrt(error);
delete proj;
if (error > EPS)
// Calculated solution is not precise enough.
success_test = 0;
}
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}
int main(int argc, char **args)
{
// Test variable.
int success_test = 1;
if (argc < 5) error("Not enough parameters.");
// Load the mesh.
Mesh mesh;
H3DReader mloader;
if (!mloader.load(args[1], &mesh)) error("Loading mesh file '%s'.", args[1]);
// Initialize the space according to the
// command-line parameters passed.
sscanf(args[2], "%d", &P_INIT_X);
sscanf(args[3], "%d", &P_INIT_Y);
sscanf(args[4], "%d", &P_INIT_Z);
Ord3 order(P_INIT_X, P_INIT_Y, P_INIT_Z);
H1Space space(&mesh, bc_types, essential_bc_values, order);
// Initialize the weak formulation.
WeakForm wf;
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<Ord, Ord>, HERMES_SYM, HERMES_ANY);
wf.add_vector_form(linear_form<double, scalar>, linear_form<Ord, Ord>, HERMES_ANY);
// Time measurement.
TimePeriod cpu_time;
cpu_time.tick();
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Adaptivity loop.
int as = 1;
bool done = false;
do {
info("---- Adaptivity step %d:", as);
// Construct globally refined reference mesh and setup reference space.
Space* ref_space = construct_refined_space(&space,1 , H3D_H3D_H3D_REFT_HEX_XYZ);
out_orders_vtk(ref_space, "space", as);
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem lp(&wf, ref_space, is_linear);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble the reference problem.
info("Assembling on reference mesh (ndof: %d).", Space::get_num_dofs(ref_space));
lp.assemble(matrix, rhs);
// Time measurement.
cpu_time.tick();
// Solve the linear system on reference mesh. If successful, obtain the solution.
info("Solving on reference mesh.");
Solution ref_sln(ref_space->get_mesh());
if(solver->solve()) Solution::vector_to_solution(solver->get_solution(), ref_space, &ref_sln);
else {
printf("Matrix solver failed.\n");
success_test = 0;
}
// Time measurement.
cpu_time.tick();
// Project the reference solution on the coarse mesh.
Solution sln(space.get_mesh());
info("Projecting reference solution on coarse mesh.");
OGProjection::project_global(&space, &ref_sln, &sln, matrix_solver);
// Time measurement.
cpu_time.tick();
// Calculate element errors and total error estimate.
info("Calculating error estimate and exact error.");
Adapt *adaptivity = new Adapt(&space, HERMES_H1_NORM);
bool solutions_for_adapt = true;
double err_est_rel = adaptivity->calc_err_est(&sln, &ref_sln, solutions_for_adapt) * 100;
// Report results.
info("ndof_coarse: %d, ndof_fine: %d.", Space::get_num_dofs(&space), Space::get_num_dofs(ref_space));
info("err_est_rel: %g%%.", err_est_rel);
// If err_est_rel is too large, adapt the mesh.
if (err_est_rel < ERR_STOP) {
done = true;
ExactSolution ex_sln(&mesh, exact_solution);
// Calculate exact error.
info("Calculating exact error.");
Adapt *adaptivity = new Adapt(&space, HERMES_H1_NORM);
bool solutions_for_adapt = false;
double err_exact = adaptivity->calc_err_exact(&sln, &ex_sln, solutions_for_adapt, HERMES_TOTAL_ERROR_ABS);
if (err_exact > EPS)
// Calculated solution is not precise enough.
success_test = 0;
break;
}
else {
info("Adapting coarse mesh.");
adaptivity->adapt(THRESHOLD);
}
// If we reached the maximum allowed number of degrees of freedom, set the return flag to failure.
if (Space::get_num_dofs(&space) >= NDOF_STOP)
{
done = true;
success_test = 0;
}
// Clean up.
delete ref_space->get_mesh();
delete ref_space;
delete matrix;
delete rhs;
delete solver;
delete adaptivity;
// Increase the counter of performed adaptivity steps.
as++;
} while (!done);
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}
int main(int argc, char **args)
{
// Time measurement.
TimePeriod cpu_time;
cpu_time.tick();
// Load the mesh.
Mesh mesh;
ExodusIIReader mloader;
mloader.load("brick_with_hole_hex.e", &mesh);
// Perform initial mesh refinement.
for (int i=0; i < INIT_REF_NUM; i++) mesh.refine_all_elements(H3D_H3D_H3D_REFT_HEX_XYZ);
// Create H1 space with default shapeset for x-displacement component.
H1Space xdisp(&mesh, bc_types_x, essential_bc_values, Ord3(P_INIT_X, P_INIT_Y, P_INIT_Z));
// Create H1 space with default shapeset for y-displacement component.
H1Space ydisp(&mesh, bc_types_y, essential_bc_values, Ord3(P_INIT_X, P_INIT_Y, P_INIT_Z));
// Create H1 space with default shapeset for z-displacement component.
H1Space zdisp(&mesh, bc_types_z, essential_bc_values, Ord3(P_INIT_X, P_INIT_Y, P_INIT_Z));
// Initialize weak formulation.
WeakForm wf(3);
wf.add_matrix_form(0, 0, callback(bilinear_form_0_0), HERMES_SYM);
wf.add_matrix_form(0, 1, callback(bilinear_form_0_1), HERMES_SYM);
wf.add_matrix_form(0, 2, callback(bilinear_form_0_2), HERMES_SYM);
wf.add_vector_form_surf(0, callback(surf_linear_form_x), bdy_force);
wf.add_matrix_form(1, 1, callback(bilinear_form_1_1), HERMES_SYM);
wf.add_matrix_form(1, 2, callback(bilinear_form_1_2), HERMES_SYM);
wf.add_vector_form_surf(1, callback(surf_linear_form_y), bdy_force);
wf.add_matrix_form(2, 2, callback(bilinear_form_2_2), HERMES_SYM);
wf.add_vector_form_surf(2, callback(surf_linear_form_z), bdy_force);
// Initialize discrete problem.
bool is_linear = true;
DiscreteProblem dp(&wf, Tuple<Space *>(&xdisp, &ydisp, &zdisp), is_linear);
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble stiffness matrix and load vector.
info("Assembling the linear problem (ndof: %d).", Space::get_num_dofs(Tuple<Space *>(&xdisp, &ydisp, &zdisp)));
dp.assemble(matrix, rhs);
// Solve the linear system. If successful, obtain the solution.
info("Solving the linear problem.");
Solution xsln(xdisp.get_mesh());
Solution ysln(ydisp.get_mesh());
Solution zsln(zdisp.get_mesh());
if(solver->solve()) Solution::vector_to_solutions(solver->get_solution(),
Tuple<Space *>(&xdisp, &ydisp, &zdisp), Tuple<Solution *>(&xsln, &ysln, &zsln));
else error ("Matrix solver failed.\n");
// Output all components of the solution.
if (solution_output) out_fn_vtk(&xsln, &ysln, &zsln, "sln");
// Time measurement.
cpu_time.tick();
// Print timing information.
info("Solutions saved. Total running time: %g s.", cpu_time.accumulated());
// Clean up.
delete matrix;
delete rhs;
delete solver;
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
return 0;
}
int main(int argc, char **args)
{
// Time measurement.
TimePeriod cpu_time;
cpu_time.tick();
// Load the mesh.
Mesh mesh;
H3DReader mloader;
mloader.load("lshape_hex.mesh3d", &mesh);
// Perform initial mesh refinement.
for (int i=0; i < INIT_REF_NUM; i++) mesh.refine_all_elements(H3D_H3D_H3D_REFT_HEX_XYZ);
// Create an Hcurl space with default shapeset.
HcurlSpace space(&mesh, bc_types, essential_bc_values, Ord3(P_INIT_X, P_INIT_Y, P_INIT_Z));
// Initialize weak formulation.
WeakForm wf;
wf.add_matrix_form(biform<double, scalar>, biform<Ord, Ord>, HERMES_SYM);
wf.add_matrix_form_surf(biform_surf, biform_surf_ord);
wf.add_vector_form_surf(liform_surf, liform_surf_ord);
// Initialize discrete problem.
bool is_linear = true;
DiscreteProblem dp(&wf, &space, is_linear);
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble stiffness matrix and load vector.
info("Assembling the linear problem (ndof: %d).", Space::get_num_dofs(&space));
dp.assemble(matrix, rhs);
// Solve the linear system. If successful, obtain the solution.
info("Solving the linear problem.");
Solution sln(space.get_mesh());
if(solver->solve()) Solution::vector_to_solution(solver->get_solution(), &space, &sln);
else error ("Matrix solver failed.\n");
// Output solution and mesh with polynomial orders.
if (solution_output)
{
out_fn_vtk(&sln, "sln");
out_orders_vtk(&space, "order");
}
// Time measurement.
cpu_time.tick();
// Print timing information.
info("Solution and mesh with polynomial orders saved. Total running time: %g s", cpu_time.accumulated());
// Clean up.
delete matrix;
delete rhs;
delete solver;
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
return 0;
}
int main(int argc, char **args)
{
// Test variable.
int success_test = 1;
if (argc < 3) error("Not enough parameters.");
// Load the mesh.
Mesh mesh;
H3DReader mloader;
if (!mloader.load(args[1], &mesh)) error("Loading mesh file '%s'.", args[1]);
// Initialize the space according to the
// command-line parameters passed.
int o;
sscanf(args[2], "%d", &o);
Ord3 order(o, o, o);
HcurlSpace space(&mesh, bc_types, NULL, order);
// Initialize the weak formulation.
WeakForm wf;
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<Ord, Ord>, HERMES_UNSYM);
wf.add_matrix_form_surf(bilinear_form_surf<double, scalar>, bilinear_form_surf<Ord, Ord>);
wf.add_vector_form(linear_form<double, scalar>, linear_form<Ord, Ord>);
wf.add_vector_form_surf(linear_form_surf<double, scalar>, linear_form_surf<Ord, Ord>);
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem dp(&wf, &space, is_linear);
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble the linear problem.
info("Assembling (ndof: %d).", Space::get_num_dofs(&space));
dp.assemble(matrix, rhs);
// Solve the linear system. If successful, obtain the solution.
info("Solving.");
Solution sln(&mesh);
if(solver->solve()) Solution::vector_to_solution(solver->get_solution(), &space, &sln);
else error ("Matrix solver failed.\n");
ExactSolution ex_sln(&mesh, exact_solution);
// Calculate exact error.
info("Calculating exact error.");
Adapt *adaptivity = new Adapt(&space, HERMES_HCURL_NORM);
bool solutions_for_adapt = false;
double err_exact = adaptivity->calc_err_exact(&sln, &ex_sln, solutions_for_adapt, HERMES_TOTAL_ERROR_ABS);
printf("err_exact = %lf", err_exact);
if (err_exact > EPS)
// Calculated solution is not precise enough.
success_test = 0;
// Clean up.
delete matrix;
delete rhs;
delete solver;
delete adaptivity;
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}
int main(int argc, char* argv[])
{
// Load the mesh.
Mesh mesh;
H2DReader mloader;
mloader.load("reactor.mesh", &mesh);
// Perform initial mesh refinements.
for (int i = 0; i < INIT_REF_NUM; i++) mesh.refine_all_elements();
// Solution variables.
Solution sln1, sln2, sln3, sln4;
Solution iter1, iter2, iter3, iter4;
Tuple<Solution*> solutions(&sln1, &sln2, &sln3, &sln4);
// Define initial conditions.
info("Setting initial conditions.");
iter1.set_const(&mesh, 1.00);
iter2.set_const(&mesh, 1.00);
iter3.set_const(&mesh, 1.00);
iter4.set_const(&mesh, 1.00);
// Create H1 spaces with default shapesets.
H1Space space1(&mesh, bc_types, essential_bc_values, P_INIT_1);
H1Space space2(&mesh, bc_types, essential_bc_values, P_INIT_2);
H1Space space3(&mesh, bc_types, essential_bc_values, P_INIT_3);
H1Space space4(&mesh, bc_types, essential_bc_values, P_INIT_4);
Tuple<Space*> spaces(&space1, &space2, &space3, &space4);
int ndof = Space::get_num_dofs(Tuple<Space*>(&space1, &space2, &space3, &space4));
info("ndof = %d.", ndof);
// Initialize views.
ScalarView view1("Neutron flux 1", new WinGeom(0, 0, 320, 600));
ScalarView view2("Neutron flux 2", new WinGeom(350, 0, 320, 600));
ScalarView view3("Neutron flux 3", new WinGeom(700, 0, 320, 600));
ScalarView view4("Neutron flux 4", new WinGeom(1050, 0, 320, 600));
// Do not show meshes.
view1.show_mesh(false); view1.set_3d_mode(true);
view2.show_mesh(false); view2.set_3d_mode(true);
view3.show_mesh(false); view3.set_3d_mode(true);
view4.show_mesh(false); view4.set_3d_mode(true);
// Initialize the weak formulation.
WeakForm wf(4);
wf.add_matrix_form(0, 0, callback(biform_0_0), HERMES_SYM);
wf.add_matrix_form(1, 1, callback(biform_1_1), HERMES_SYM);
wf.add_matrix_form(1, 0, callback(biform_1_0));
wf.add_matrix_form(2, 2, callback(biform_2_2), HERMES_SYM);
wf.add_matrix_form(2, 1, callback(biform_2_1));
wf.add_matrix_form(3, 3, callback(biform_3_3), HERMES_SYM);
wf.add_matrix_form(3, 2, callback(biform_3_2));
wf.add_vector_form(0, callback(liform_0), marker_core, Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
wf.add_vector_form(1, callback(liform_1), marker_core, Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
wf.add_vector_form(2, callback(liform_2), marker_core, Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
wf.add_vector_form(3, callback(liform_3), marker_core, Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
wf.add_matrix_form_surf(0, 0, callback(biform_surf_0_0), bc_vacuum);
wf.add_matrix_form_surf(1, 1, callback(biform_surf_1_1), bc_vacuum);
wf.add_matrix_form_surf(2, 2, callback(biform_surf_2_2), bc_vacuum);
wf.add_matrix_form_surf(3, 3, callback(biform_surf_3_3), bc_vacuum);
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem dp(&wf, spaces, is_linear);
initialize_solution_environment(matrix_solver, argc, argv);
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Time measurement.
TimePeriod cpu_time, solver_time;
// Main power iteration loop:
int iter = 1; bool done = false;
bool rhs_only = false;
solver->set_factorization_scheme(HERMES_REUSE_FACTORIZATION_COMPLETELY);
do
{
info("------------ Power iteration %d:", iter);
info("Assembling the stiffness matrix and right-hand side vector.");
dp.assemble(matrix, rhs, rhs_only);
/*
// Testing the factorization reuse schemes for direct solvers.
if (iter == 10)
solver->set_factorization_scheme(HERMES_REUSE_MATRIX_REORDERING);
if (iter == 20)
solver->set_factorization_scheme(HERMES_REUSE_MATRIX_REORDERING_AND_SCALING);
if (iter == 30)
solver->set_factorization_scheme(HERMES_REUSE_FACTORIZATION_COMPLETELY);
*/
info("Solving the matrix problem by %s.", MatrixSolverNames[matrix_solver].c_str());
solver_time.tick(HERMES_SKIP);
bool solved = solver->solve();
solver_time.tick();
if(solved)
Solution::vector_to_solutions(solver->get_solution(), spaces, solutions);
else
error ("Matrix solver failed.\n");
// Show intermediate solutions.
// view1.show(&sln1);
// view2.show(&sln2);
// view3.show(&sln3);
// view4.show(&sln4);
SimpleFilter source(source_fn, Tuple<MeshFunction*>(&sln1, &sln2, &sln3, &sln4));
SimpleFilter source_prev(source_fn, Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
// Compute eigenvalue.
double k_new = k_eff * (integrate(&source, marker_core) / integrate(&source_prev, marker_core));
info("Largest eigenvalue: %.8g, rel. difference from previous it.: %g", k_new, fabs((k_eff - k_new) / k_new));
// Stopping criterion.
if (fabs((k_eff - k_new) / k_new) < ERROR_STOP) done = true;
// Update eigenvalue.
k_eff = k_new;
if (!done)
{
// Save solutions for the next iteration.
iter1.copy(&sln1);
iter2.copy(&sln2);
iter3.copy(&sln3);
iter4.copy(&sln4);
// Don't need to reassemble the system matrix in further iterations,
// only the rhs changes to reflect the progressively updated source.
rhs_only = true;
iter++;
}
}
while (!done);
// Time measurement.
cpu_time.tick();
solver_time.tick(HERMES_SKIP);
// Print timing information.
verbose("Average solver time for one power iteration: %g s", solver_time.accumulated() / iter);
// Clean up.
delete matrix;
delete rhs;
delete solver;
finalize_solution_environment(matrix_solver);
// Show solutions.
view1.show(&sln1);
view2.show(&sln2);
view3.show(&sln3);
view4.show(&sln4);
// Skip visualization time.
cpu_time.tick(HERMES_SKIP);
// Print timing information.
verbose("Total running time: %g s", cpu_time.accumulated());
// Wait for all views to be closed.
View::wait();
return 0;
}
int main(int argc, char **args)
{
// Test variable.
int success_test = 1;
// Initialize the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
initialize_solution_environment(matrix_solver, argc, args);
for (int i = 0; i < 48; i++) {
for (int j = 0; j < 48; j++) {
info("Config: %d, %d ", i, j);
Mesh mesh;
for (unsigned int k = 0; k < countof(vtcs); k++)
mesh.add_vertex(vtcs[k].x, vtcs[k].y, vtcs[k].z);
unsigned int h1[] = {
hexs[0][i][0] + 1, hexs[0][i][1] + 1, hexs[0][i][2] + 1, hexs[0][i][3] + 1,
hexs[0][i][4] + 1, hexs[0][i][5] + 1, hexs[0][i][6] + 1, hexs[0][i][7] + 1 };
mesh.add_hex(h1);
unsigned int h2[] = {
hexs[1][j][0] + 1, hexs[1][j][1] + 1, hexs[1][j][2] + 1, hexs[1][j][3] + 1,
hexs[1][j][4] + 1, hexs[1][j][5] + 1, hexs[1][j][6] + 1, hexs[1][j][7] + 1 };
mesh.add_hex(h2);
// bc
for (unsigned int k = 0; k < countof(bnd); k++) {
unsigned int facet_idxs[Quad::NUM_VERTICES] = { bnd[k][0] + 1, bnd[k][1] + 1, bnd[k][2] + 1, bnd[k][3] + 1 };
mesh.add_quad_boundary(facet_idxs, bnd[k][4]);
}
mesh.ugh();
// Initialize the space.
H1Space space(&mesh, bc_types, essential_bc_values);
#ifdef XM_YN_ZO
Ord3 ord(4, 4, 4);
#elif defined XM_YN_ZO_2
Ord3 ord(4, 4, 4);
#elif defined X2_Y2_Z2
Ord3 ord(2, 2, 2);
#endif
space.set_uniform_order(ord);
// Initialize the weak formulation.
WeakForm wf;
#ifdef DIRICHLET
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<Ord, Ord>, HERMES_SYM);
wf.add_vector_form(linear_form<double, scalar>, linear_form<Ord, Ord>);
#elif defined NEWTON
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<Ord, Ord>, HERMES_SYM);
wf.add_matrix_form_surf(bilinear_form_surf<double, scalar>, bilinear_form_surf<Ord, Ord>);
wf.add_vector_form(linear_form<double, scalar>, linear_form<Ord, Ord>);
wf.add_vector_form_surf(linear_form_surf<double, scalar>, linear_form_surf<Ord, Ord>);
#endif
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem dp(&wf, &space, is_linear);
// Set up the solver, matrix, and rhs according to the solver selection.
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
// Initialize the preconditioner in the case of SOLVER_AZTECOO.
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Assemble the linear problem.
info("Assembling (ndof: %d).", Space::get_num_dofs(&space));
dp.assemble(matrix, rhs);
// Solve the linear system. If successful, obtain the solution.
info("Solving.");
Solution sln(space.get_mesh());
if(solver->solve()) Solution::vector_to_solution(solver->get_solution(), &space, &sln);
else error ("Matrix solver failed.\n");
ExactSolution ex_sln(&mesh, exact_solution);
// Calculate exact error.
info("Calculating exact error.");
Adapt *adaptivity = new Adapt(&space, HERMES_H1_NORM);
bool solutions_for_adapt = false;
double err_exact = adaptivity->calc_err_exact(&sln, &ex_sln, solutions_for_adapt, HERMES_TOTAL_ERROR_ABS);
if (err_exact > EPS)
{
// Calculated solution is not precise enough.
success_test = 0;
info("failed, error:%g", err_exact);
}
else
info("passed");
// Clean up.
delete matrix;
delete rhs;
delete solver;
delete adaptivity;
}
}
// Properly terminate the solver in the case of SOLVER_PETSC or SOLVER_MUMPS.
finalize_solution_environment(matrix_solver);
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}