int main(int argc, char **argv)
{
int res = ERR_SUCCESS;
set_verbose(false);
if (argc < 2) error("Not enough parameters");
printf("* Loading mesh '%s'\n", argv[1]);
Mesh mesh;
Mesh3DReader mesh_loader;
if (!mesh_loader.load(argv[1], &mesh)) error("loading mesh file '%s'\n", argv[1]);
H1ShapesetLobattoHex shapeset;
#if defined NONLIN1
order3_t order(1, 1, 1);
#else
order3_t order(2, 2, 2);
#endif
printf("* Setting the space up\n");
H1Space space(&mesh, &shapeset);
space.set_bc_types(bc_types);
space.set_essential_bc_values(essential_bc_values);
printf(" - Setting uniform order to (%d, %d, %d)\n", order.x, order.y, order.z);
space.set_uniform_order(order);
int ndofs = space.assign_dofs();
printf(" - Number of DOFs: %d\n", ndofs);
#if defined NONLIN2
// do L2 projection of zero function
WeakForm proj_wf;
proj_wf.add_matrix_form(biproj_form<double, scalar>, biproj_form<ord_t, ord_t>, SYM);
proj_wf.add_vector_form(liproj_form<double, scalar>, liproj_form<ord_t, ord_t>);
LinearProblem lp(&proj_wf, &space);
#ifdef WITH_UMFPACK
UMFPackMatrix m;
UMFPackVector v;
UMFPackLinearSolver sl(&m, &v);
#elif defined WITH_MUMPS
MumpsMatrix m;
MumpsVector v;
MumpsSolver sl(&m, &v);
#endif
lp.assemble(&m, &v);
sl.solve();
double *ps = sl.get_solution();
#endif
printf("* Calculating a solution\n");
WeakForm wf(1);
wf.add_matrix_form(0, 0, jacobi_form<double, scalar>, jacobi_form<ord_t, ord_t>, UNSYM);
wf.add_vector_form(0, resid_form<double, scalar>, resid_form<ord_t, ord_t>);
DiscreteProblem dp(&wf, &space);
NoxSolver solver(&dp);
#if defined NONLIN2
solver.set_init_sln(ps);
#endif
solver.set_conv_iters(10);
printf(" - solving..."); fflush(stdout);
Timer solve_timer;
solve_timer.start();
bool solved = solver.solve();
solve_timer.stop();
if (solved) {
printf(" done in %s (%lf secs), iters = %d\n", solve_timer.get_human_time(),
solve_timer.get_seconds(), solver.get_num_iters());
double *s = solver.get_solution();
Solution sln(&mesh);
sln.set_coeff_vector(&space, s);
Solution ex_sln(&mesh);
#ifdef NONLIN1
ex_sln.set_const(100.0);
#else
ex_sln.set_exact(exact_solution);
#endif
double h1_err = h1_error(&sln, &ex_sln);
printf(" - H1 error norm: % le\n", h1_err);
double l2_err = l2_error(&sln, &ex_sln);
printf(" - L2 error norm: % le\n", l2_err);
if (h1_err > EPS || l2_err > EPS) {
// calculated solution is not enough precise
res = ERR_FAILURE;
}
#ifdef OUTPUT_DIR
printf("* Output\n");
// output
const char *of_name = OUTPUT_DIR "/solution.vtk";
FILE *ofile = fopen(of_name, "w");
if (ofile != NULL) {
VtkOutputEngine output(ofile);
output.out(&sln, "Uh", FN_VAL_0);
fclose(ofile);
}
else {
warning("Cann not open '%s' for writing.", of_name);
}
#endif
}
else
res = ERR_FAILURE;
return res;
}
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 = 4;
sscanf(args[2], "%d", &o);
H1Space space(&mesh, bc_types, NULL, o);
// Initialize the weak formulation.
WeakForm wf;
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>);
// 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(&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;
// Clean up.
delete matrix;
delete rhs;
delete solver;
delete adaptivity;
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 < 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);
// 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_NONSYM);
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)
{
// 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.
int mx = 2;
Ord3 order(mx, mx, mx);
H1Space space(&mesh, bc_types, NULL, order);
#if defined LIN_DIRICHLET || defined NLN_DIRICHLET
space.set_essential_bc_values(essential_bc_values);
#endif
// Initialize the weak formulation.
WeakForm wf;
wf.add_vector_form(form_0<double, scalar>, form_0<Ord, Ord>);
#if defined LIN_NEUMANN || defined LIN_NEWTON
wf.add_vector_form_surf(form_0_surf<double, scalar>, form_0_surf<Ord, Ord>);
#endif
#if defined LIN_DIRICHLET || defined NLN_DIRICHLET
// preconditioner
wf.add_matrix_form(precond_0_0<double, scalar>, precond_0_0<Ord, Ord>, HERMES_SYM);
#endif
// Initialize the FE problem.
DiscreteProblem fep(&wf, &space);
#if defined LIN_DIRICHLET || defined NLN_DIRICHLET
// use ML preconditioner to speed-up things
MlPrecond pc("sa");
pc.set_param("max levels", 6);
pc.set_param("increasing or decreasing", "decreasing");
pc.set_param("aggregation: type", "MIS");
pc.set_param("coarse: type", "Amesos-KLU");
#endif
NoxSolver solver(&fep);
#if defined LIN_DIRICHLET || defined NLN_DIRICHLET
// solver.set_precond(&pc);
#endif
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);
ex_sln.set_exact(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;
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}
int main(int argc, char **argv) {
int res = ERR_SUCCESS;
#ifdef WITH_PETSC
PetscInitialize(&argc, &argv, (char *) PETSC_NULL, PETSC_NULL);
#endif
set_verbose(false);
if (argc < 3) error("Not enough parameters");
printf("* Loading mesh '%s'\n", argv[1]);
Mesh mesh;
H3DReader mesh_loader;
if (!mesh_loader.load(argv[1], &mesh)) error("Loading mesh file '%s'\n", argv[1]);
int o;
sscanf(argv[2], "%d", &o);
printf(" - Setting uniform order to %d\n", o);
printf("* Setting the space up\n");
H1Space space(&mesh, bc_types, NULL, o);
int ndofs = space.assign_dofs();
printf(" - Number of DOFs: %d\n", ndofs);
printf("* Calculating a solution\n");
#if defined WITH_UMFPACK
UMFPackMatrix mat;
UMFPackVector rhs;
UMFPackLinearSolver solver(&mat, &rhs);
#elif defined WITH_PARDISO
PardisoMatrix mat;
PardisoVector rhs;
PardisoLinearSolver solver(&mat, &rhs);
#elif defined WITH_PETSC
PetscMatrix mat;
PetscVector rhs;
PetscLinearSolver solver(&mat, &rhs);
#elif defined WITH_MUMPS
MumpsMatrix mat;
MumpsVector rhs;
MumpsSolver solver(&mat, &rhs);
#endif
WeakForm wf;
wf.add_matrix_form(FORM_CB(bilinear_form), SYM);
wf.add_vector_form(FORM_CB(linear_form));
DiscreteProblem dp(&wf, &space, true);
// assemble stiffness matrix
Timer assemble_timer("Assembling stiffness matrix");
assemble_timer.start();
dp.assemble(&mat, &rhs);
assemble_timer.stop();
// solve the stiffness matrix
Timer solve_timer("Solving stiffness matrix");
solve_timer.start();
bool solved = solver.solve();
solve_timer.stop();
// output the measured values
printf("%s: %s (%lf secs)\n", assemble_timer.get_name(), assemble_timer.get_human_time(), assemble_timer.get_seconds());
printf("%s: %s (%lf secs)\n", solve_timer.get_name(), solve_timer.get_human_time(), solve_timer.get_seconds());
// mat.dump(stdout, "a");
// rhs.dump(stdout, "b");
if (solved) {
Solution sln(&mesh);
sln.set_coeff_vector(&space, solver.get_solution() );
ExactSolution ex_sln(&mesh, exact_solution);
// norm
// double h1_sln_norm = h1_norm(&sln);
double h1_err_norm = h1_error(&sln, &ex_sln);
// printf(" - H1 solution norm: % le\n", h1_sln_norm);
printf(" - H1 error norm: % le\n", h1_err_norm);
// double l2_sln_norm = l2_norm(&sln);
// double l2_err_norm = l2_error(&sln, &ex_sln);
// printf(" - L2 solution norm: % le\n", l2_sln_norm);
// printf(" - L2 error norm: % le\n", l2_err_norm);
// if (h1_err_norm > EPS || l2_err_norm > EPS) {
// calculated solution is not enough precise
// res = ERR_FAILURE;
// }
#ifdef AOUTPUT_DIR
// output
const char *of_name = OUTPUT_DIR "/solution.pos";
FILE *ofile = fopen(of_name, "w");
if (ofile != NULL) {
DiffFilter eh(&sln, &ex_sln);
// DiffFilter eh_dx(&sln, &ex_sln, FN_DX, FN_DX);
// DiffFilter eh_dy(&sln, &ex_sln, FN_DY, FN_DY);
// DiffFilter eh_dz(&sln, &ex_sln, FN_DZ, FN_DZ);
GmshOutputEngine output(ofile);
output.out(&sln, "Uh");
// output.out(&sln, "Uh dx", FN_DX_0);
// output.out(&sln, "Uh dy", FN_DY_0);
// output.out(&sln, "Uh dz", FN_DZ_0);
output.out(&eh, "Eh");
// output.out(&eh_dx, "Eh dx");
// output.out(&eh_dy, "Eh dy");
// output.out(&eh_dz, "Eh dz");
output.out(&ex_sln, "U");
// output.out(&ex_sln, "U dx", FN_DX_0);
// output.out(&ex_sln, "U dy", FN_DY_0);
// output.out(&ex_sln, "U dz", FN_DZ_0);
fclose(ofile);
}
else {
warning("Can not open '%s' for writing.", of_name);
}
#endif
}
#ifdef WITH_PETSC
mat.free();
rhs.free();
PetscFinalize();
#endif
return res;
}
int main(int argc, char **argv) {
int res = ERR_SUCCESS;
#ifdef WITH_PETSC
PetscInitialize(&argc, &argv, (char *) PETSC_NULL, PETSC_NULL);
#endif
set_verbose(false);
if (argc < 3) error("Not enough parameters");
HcurlShapesetLobattoHex shapeset;
printf("* Loading mesh '%s'\n", argv[1]);
Mesh mesh;
Mesh3DReader mesh_loader;
if (!mesh_loader.load(argv[1], &mesh)) error("Loading mesh file '%s'\n", argv[1]);
printf("* Setting the space up\n");
HcurlSpace space(&mesh, &shapeset);
space.set_bc_types(bc_types);
int order;
sscanf(argv[2], "%d", &order);
int dir_x = order, dir_y = order, dir_z = order;
order3_t o(dir_x, dir_y, dir_z);
printf(" - Setting uniform order to (%d, %d, %d)\n", o.x, o.y ,o.z);
space.set_uniform_order(o);
int ndofs = space.assign_dofs();
printf(" - Number of DOFs: %d\n", ndofs);
printf("* Calculating a solution\n");
#if defined WITH_UMFPACK
UMFPackMatrix mat;
UMFPackVector rhs;
UMFPackLinearSolver solver(&mat, &rhs);
#elif defined WITH_PARDISO
PardisoMatrix mat;
PardisoVector rhs;
PardisoSolver solver(&mat, &rhs);
#elif defined WITH_PETSC
PetscMatrix mat;
PetscVector rhs;
PetscLinearSolver solver(&mat, &rhs);
#elif defined WITH_MUMPS
MumpsMatrix mat;
MumpsVector rhs;
MumpsSolver solver(&mat, &rhs);
#endif
WeakForm wf;
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<ord_t, ord_t>, SYM);
wf.add_matrix_form_surf(bilinear_form_surf<double, scalar>, bilinear_form_surf<ord_t, ord_t>);
wf.add_vector_form(linear_form<double, scalar>, linear_form<ord_t, ord_t>);
wf.add_vector_form_surf(linear_form_surf<double, scalar>, linear_form_surf<ord_t, ord_t>);
LinearProblem lp(&wf, &space);
// assemble stiffness matrix
Timer assemble_timer("Assembling stiffness matrix");
assemble_timer.start();
lp.assemble(&mat, &rhs);
assemble_timer.stop();
// solve the stiffness matrix
Timer solve_timer("Solving stiffness matrix");
solve_timer.start();
bool solved = solver.solve();
solve_timer.stop();
//#ifdef OUTPUT_DIR
mat.dump(stdout, "a");
rhs.dump(stdout, "b");
//#endif
if (solved) {
scalar *s = solver.get_solution();
Solution sln(&mesh);
sln.set_coeff_vector(&space, s);
printf("* Solution:\n");
for (int i = 1; i <= ndofs; i++) {
printf(" x[% 3d] = " SCALAR_FMT "\n", i, SCALAR(s[i]));
}
// output the measured values
printf("%s: %s (%lf secs)\n", assemble_timer.get_name(), assemble_timer.get_human_time(), assemble_timer.get_seconds());
printf("%s: %s (%lf secs)\n", solve_timer.get_name(), solve_timer.get_human_time(), solve_timer.get_seconds());
// norm
ExactSolution ex_sln(&mesh, exact_solution);
double hcurl_sln_norm = hcurl_norm(&sln);
double hcurl_err_norm = hcurl_error(&sln, &ex_sln);
printf(" - Hcurl solution norm: % le\n", hcurl_sln_norm);
printf(" - Hcurl error norm: % le\n", hcurl_err_norm);
double l2_sln_norm = l2_norm_hcurl(&sln);
double l2_err_norm = l2_error_hcurl(&sln, &ex_sln);
printf(" - L2 solution norm: % le\n", l2_sln_norm);
printf(" - L2 error norm: % le\n", l2_err_norm);
if (hcurl_err_norm > EPS || l2_err_norm > EPS) {
// calculated solution is not enough precise
res = ERR_FAILURE;
}
#if 0 //def OUTPUT_DIR
// output
printf("starting output\n");
const char *of_name = OUTPUT_DIR "/solution.vtk";
FILE *ofile = fopen(of_name, "w");
if (ofile != NULL) {
ExactSolution ex_sln(&mesh, exact_solution_0, exact_solution_1, exact_solution_2);
RealPartFilter real_sln(&mesh, &sln, FN_VAL);
ImagPartFilter imag_sln(&mesh, &sln, FN_VAL);
DiffFilter eh(&mesh, &sln, &ex_sln);
DiffFilter eh_dx(&mesh, &sln, &ex_sln, FN_DX, FN_DX);
// DiffFilter eh_dy(&mesh, &sln, &ex_sln, FN_DY, FN_DY);
// DiffFilter eh_dz(&mesh, &sln, &ex_sln, FN_DZ, FN_DZ);
// GmshOutputEngine output(ofile);
VtkOutputEngine output(ofile);
output.out(&real_sln, "real_Uh", FN_VAL);
output.out(&imag_sln, "imag_Uh", FN_VAL);
output.out(&real_sln, "real_Uh_0", FN_VAL_0);
output.out(&real_sln, "real_Uh_1", FN_VAL_1);
output.out(&real_sln, "real_Uh_2", FN_VAL_2);
output.out(&imag_sln, "imag_Uh_0", FN_VAL_0);
output.out(&imag_sln, "imag_Uh_1", FN_VAL_1);
output.out(&imag_sln, "imag_Uh_2", FN_VAL_2);
fclose(ofile);
}
else {
warning("Can not open '%s' for writing.", of_name);
}
#endif
}
#ifdef WITH_PETSC
mat.free();
rhs.free();
PetscFinalize();
#endif
return res;
}
int main(int argc, char **args)
{
if (argc < 3) error("Not enough parameters.");
char *type = args[1];
Mesh mesh;
H3DReader mesh_loader;
if (!mesh_loader.load(args[2], &mesh)) error("Loading mesh file '%s'\n", args[2]);
if (strcmp(type, "sln") == 0) {
// Testing on Exact solution which always gives the same value (values from Solution may differ by epsilon)
ExactSolution ex_sln(&mesh, exact_solution);
output.out(&ex_sln, "U");
}
else if (strcmp(type, "vec-sln") == 0) {
// Testing on Exact solution which always gives the same value (values from Solution may differ by epsilon)
ExactSolution ex_sln(&mesh, exact_vec_solution);
output.out(&ex_sln, "U");
}
else if (strcmp(type, "3sln") == 0) {
// Testing on Exact solution which always gives the same value (values from Solution may differ by epsilon)
ExactSolution ex_sln0(&mesh, exact_solution0);
ExactSolution ex_sln1(&mesh, exact_solution1);
ExactSolution ex_sln2(&mesh, exact_solution2);
output.out(&ex_sln0, &ex_sln1, &ex_sln2, "U");
}
else if (strcmp(type, "ord") == 0) {
Ord3 order;
if (mesh.elements[1]->get_mode() == HERMES_MODE_HEX)
order = Ord3(2, 3, 4);
else if (mesh.elements[1]->get_mode() == HERMES_MODE_TET)
order = Ord3(3);
else
error(HERMES_ERR_NOT_IMPLEMENTED);
H1Space space(&mesh, bc_types, essential_bc_values, order);
#if defined GMSH
output.out_orders_gmsh(&space, "orders_gmsh");
#elif defined VTK
output.out_orders_vtk(&space, "orders_vtk");
#endif
}
else if (strcmp(type, "bc") == 0) {
#if defined GMSH
output.out_bc_gmsh(&mesh);
#elif defined VTK
output.out_bc_vtk(&mesh);
#endif
}
else if (strcmp(type, "mat") == 0) {
StiffMatrix mat;
test_mat(&mesh, mat);
output.out(&mat);
}
else if (strcmp(type, "mm") == 0) {
test_mm(&mesh);
}
return 0;
}
int main(int argc, char **args) {
int res = ERR_SUCCESS;
#ifdef WITH_PETSC
PetscInitialize(&argc, &args, (char *) PETSC_NULL, PETSC_NULL);
#endif
set_verbose(false);
TRACE_START("trace.txt");
DEBUG_OUTPUT_ON;
SET_VERBOSE_LEVEL(0);
if (argc < 5) error("Not enough parameters");
sscanf(args[2], "%d", &m);
sscanf(args[3], "%d", &n);
sscanf(args[4], "%d", &o);
printf("* Loading mesh '%s'\n", args[1]);
Mesh mesh;
Mesh3DReader mloader;
if (!mloader.load(args[1], &mesh)) error("Loading mesh file '%s'\n", args[1]);
H1ShapesetLobattoHex shapeset;
printf("* Setting the space up\n");
H1Space space(&mesh, &shapeset);
space.set_bc_types(bc_types);
int mx = maxn(4, m, n, o, 4);
order3_t order(mx, mx, mx);
// order3_t order(1, 1, 1);
// order3_t order(m, n, o);
printf(" - Setting uniform order to (%d, %d, %d)\n", mx, mx, mx);
space.set_uniform_order(order);
int ndofs = space.assign_dofs();
printf(" - Number of DOFs: %d\n", ndofs);
printf("* Calculating a solution\n");
#if defined WITH_UMFPACK
UMFPackMatrix mat;
UMFPackVector rhs;
UMFPackLinearSolver solver(&mat, &rhs);
#elif defined WITH_PARDISO
PardisoMatrix mat;
PardisoVector rhs;
PardisoLinearSolver solver(&mat, &rhs);
#elif defined WITH_PETSC
PetscMatrix mat;
PetscVector rhs;
PetscLinearSolver solver(&mat, &rhs);
#elif defined WITH_MUMPS
MumpsMatrix mat;
MumpsVector rhs;
MumpsSolver solver(&mat, &rhs);
#endif
WeakForm wf;
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<ord_t, ord_t>, SYM);
wf.add_vector_form(linear_form<double, scalar>, linear_form<ord_t, ord_t>);
wf.add_vector_form_surf(linear_form_surf<double, scalar>, linear_form_surf<ord_t, ord_t>);
LinearProblem lp(&wf, &space);
// assemble stiffness matrix
printf(" - assembling...\n"); fflush(stdout);
Timer assemble_timer;
assemble_timer.start();
lp.assemble(&mat, &rhs);
assemble_timer.stop();
printf("%s (%lf secs)\n", assemble_timer.get_human_time(), assemble_timer.get_seconds());
// solve the stiffness matrix
printf(" - solving... "); fflush(stdout);
Timer solve_timer;
solve_timer.start();
bool solved = solver.solve();
solve_timer.stop();
printf("%s (%lf secs)\n", solve_timer.get_human_time(), solve_timer.get_seconds());
// mat.dump(stdout, "a");
// rhs.dump(stdout, "b");
if (solved) {
Solution sln(&mesh);
sln.set_coeff_vector(&space, solver.get_solution());
// printf("* Solution:\n");
// double *s = solver.get_solution();
// for (int i = 1; i <= ndofs; i++) {
// printf(" x[% 3d] = % lf\n", i, s[i]);
// }
ExactSolution ex_sln(&mesh, exact_solution);
// norm
double h1_sln_norm = h1_norm(&sln);
double h1_err_norm = h1_error(&sln, &ex_sln);
printf(" - H1 solution norm: % le\n", h1_sln_norm);
printf(" - H1 error norm: % le\n", h1_err_norm);
double l2_sln_norm = l2_norm(&sln);
double l2_err_norm = l2_error(&sln, &ex_sln);
printf(" - L2 solution norm: % le\n", l2_sln_norm);
printf(" - L2 error norm: % le\n", l2_err_norm);
if (h1_err_norm > EPS || l2_err_norm > EPS) {
// calculated solution is not enough precise
res = ERR_FAILURE;
}
#if 0 //def OUTPUT_DIR
printf("* Output\n");
// output
const char *of_name = OUTPUT_DIR "/solution.pos";
FILE *ofile = fopen(of_name, "w");
if (ofile != NULL) {
ExactSolution ex_sln(&mesh, exact_solution);
DiffFilter eh(&sln, &ex_sln);
// DiffFilter eh_dx(&mesh, &sln, &ex_sln, FN_DX, FN_DX);
// DiffFilter eh_dy(&mesh, &sln, &ex_sln, FN_DY, FN_DY);
// DiffFilter eh_dz(&mesh, &sln, &ex_sln, FN_DZ, FN_DZ);
GmshOutputEngine output(ofile);
output.out(&sln, "Uh");
// output.out(&sln, "Uh dx", FN_DX_0);
// output.out(&sln, "Uh dy", FN_DY_0);
// output.out(&sln, "Uh dz", FN_DZ_0);
output.out(&eh, "Eh");
// output.out(&eh_dx, "Eh dx");
// output.out(&eh_dy, "Eh dy");
// output.out(&eh_dz, "Eh dz");
output.out(&ex_sln, "U");
// output.out(&ex_sln, "U dx", FN_DX_0);
// output.out(&ex_sln, "U dy", FN_DY_0);
// output.out(&ex_sln, "U dz", FN_DZ_0);
fclose(ofile);
}
else {
warning("Can not open '%s' for writing.", of_name);
}
#endif
}
else
res = ERR_FAILURE;
#ifdef WITH_PETSC
mat.free();
rhs.free();
PetscFinalize();
#endif
TRACE_END;
return res;
}
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)
{
// Test variable.
int success_test = 1;
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;
}
}
if (success_test) {
info("Success!");
return ERR_SUCCESS;
}
else {
info("Failure!");
return ERR_FAILURE;
}
}
int main(int argc, char **args)
{
int res = ERR_SUCCESS;
#ifdef WITH_PETSC
PetscInitialize(&argc, &args, (char *) PETSC_NULL, PETSC_NULL);
#endif
if (argc < 2) error("Not enough parameters.");
printf("* Loading mesh '%s'\n", args[1]);
Mesh mesh1;
H3DReader mesh_loader;
if (!mesh_loader.load(args[1], &mesh1)) error("Loading mesh file '%s'\n", args[1]);
#if defined RHS2
Ord3 order(P_INIT_X, P_INIT_Y, P_INIT_Z);
printf(" - Setting uniform order to (%d, %d, %d)\n", order.x, order.y, order.z);
// Create an H1 space with default shapeset.
printf("* Setting the space up\n");
H1Space space(&mesh1, bc_types, essential_bc_values, order);
int ndofs = space.assign_dofs();
printf(" - Number of DOFs: %d\n", ndofs);
printf("* Calculating a solution\n");
// duplicate the mesh
Mesh mesh2;
mesh2.copy(mesh1);
// do some changes
mesh2.refine_all_elements(H3D_H3D_H3D_REFT_HEX_XYZ);
mesh2.refine_all_elements(H3D_H3D_H3D_REFT_HEX_XYZ);
Solution fsln(&mesh2);
fsln.set_const(-6.0);
#else
// duplicate the mesh
Mesh mesh2;
mesh2.copy(mesh1);
Mesh mesh3;
mesh3.copy(mesh1);
// change meshes
mesh1.refine_all_elements(H3D_REFT_HEX_X);
mesh2.refine_all_elements(H3D_REFT_HEX_Y);
mesh3.refine_all_elements(H3D_REFT_HEX_Z);
printf("* Setup spaces\n");
Ord3 o1(2, 2, 2);
printf(" - Setting uniform order to (%d, %d, %d)\n", o1.x, o1.y, o1.z);
H1Space space1(&mesh1, bc_types_1, essential_bc_values_1, o1);
Ord3 o2(2, 2, 2);
printf(" - Setting uniform order to (%d, %d, %d)\n", o2.x, o2.y, o2.z);
H1Space space2(&mesh2, bc_types_2, essential_bc_values_2, o2);
Ord3 o3(1, 1, 1);
printf(" - Setting uniform order to (%d, %d, %d)\n", o3.x, o3.y, o3.z);
H1Space space3(&mesh3, bc_types_3, essential_bc_values_3, o3);
int ndofs = 0;
ndofs += space1.assign_dofs();
ndofs += space2.assign_dofs(ndofs);
ndofs += space3.assign_dofs(ndofs);
printf(" - Number of DOFs: %d\n", ndofs);
#endif
#if defined WITH_UMFPACK
MatrixSolverType matrix_solver = SOLVER_UMFPACK;
#elif defined WITH_PETSC
MatrixSolverType matrix_solver = SOLVER_PETSC;
#elif defined WITH_MUMPS
MatrixSolverType matrix_solver = SOLVER_MUMPS;
#endif
#ifdef RHS2
WeakForm wf;
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>, HERMES_ANY_INT, &fsln);
// Initialize discrete problem.
bool is_linear = true;
DiscreteProblem dp(&wf, &space, is_linear);
#elif defined SYS3
WeakForm wf(3);
wf.add_matrix_form(0, 0, biform_1_1<double, scalar>, biform_1_1<Ord, Ord>, HERMES_SYM);
wf.add_matrix_form(0, 1, biform_1_2<double, scalar>, biform_1_2<Ord, Ord>, HERMES_NONSYM);
wf.add_vector_form(0, liform_1<double, scalar>, liform_1<Ord, Ord>);
wf.add_matrix_form(1, 1, biform_2_2<double, scalar>, biform_2_2<Ord, Ord>, HERMES_SYM);
wf.add_matrix_form(1, 2, biform_2_3<double, scalar>, biform_2_3<Ord, Ord>, HERMES_NONSYM);
wf.add_vector_form(1, liform_2<double, scalar>, liform_2<Ord, Ord>);
wf.add_matrix_form(2, 2, biform_3_3<double, scalar>, biform_3_3<Ord, Ord>, HERMES_SYM);
// Initialize discrete problem.
bool is_linear = true;
DiscreteProblem dp(&wf, Hermes::vector<Space *>(&space1, &space2, &space3), is_linear);
#endif
// Time measurement.
TimePeriod cpu_time;
cpu_time.tick();
// 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.
dp.assemble(matrix, rhs);
// Solve the linear system. If successful, obtain the solution.
info("Solving the linear problem.");
bool solved = solver->solve();
// Time measurement.
cpu_time.tick();
// Print timing information.
info("Solution and mesh with polynomial orders saved. Total running time: %g s", cpu_time.accumulated());
// Time measurement.
TimePeriod sln_time;
sln_time.tick();
if (solved) {
#ifdef RHS2
// Solve the linear system. If successful, obtain the solution.
info("Solving the linear problem.");
Solution sln(&mesh1);
Solution::vector_to_solution(solver->get_solution(), &space, &sln);
// Set exact solution.
ExactSolution ex_sln(&mesh1, exact_solution);
// Norm.
double h1_sln_norm = h1_norm(&sln);
double h1_err_norm = h1_error(&sln, &ex_sln);
printf(" - H1 solution norm: % le\n", h1_sln_norm);
printf(" - H1 error norm: % le\n", h1_err_norm);
double l2_sln_norm = l2_norm(&sln);
double l2_err_norm = l2_error(&sln, &ex_sln);
printf(" - L2 solution norm: % le\n", l2_sln_norm);
printf(" - L2 error norm: % le\n", l2_err_norm);
if (h1_err_norm > EPS || l2_err_norm > EPS) {
// Calculated solution is not enough precise.
res = ERR_FAILURE;
}
#elif defined SYS3
// Solution 1.
Solution sln1(&mesh1);
Solution sln2(&mesh2);
Solution sln3(&mesh3);
Solution::vector_to_solution(solver->get_solution(), &space1, &sln1);
Solution::vector_to_solution(solver->get_solution(), &space2, &sln2);
Solution::vector_to_solution(solver->get_solution(), &space3, &sln3);
ExactSolution esln1(&mesh1, exact_sln_fn_1);
ExactSolution esln2(&mesh2, exact_sln_fn_2);
ExactSolution esln3(&mesh3, exact_sln_fn_3);
// Norm.
double h1_err_norm1 = h1_error(&sln1, &esln1);
double h1_err_norm2 = h1_error(&sln2, &esln2);
double h1_err_norm3 = h1_error(&sln3, &esln3);
double l2_err_norm1 = l2_error(&sln1, &esln1);
double l2_err_norm2 = l2_error(&sln2, &esln2);
double l2_err_norm3 = l2_error(&sln3, &esln3);
printf(" - H1 error norm: % le\n", h1_err_norm1);
printf(" - L2 error norm: % le\n", l2_err_norm1);
if (h1_err_norm1 > EPS || l2_err_norm1 > EPS) {
// Calculated solution is not enough precise.
res = ERR_FAILURE;
}
printf(" - H1 error norm: % le\n", h1_err_norm2);
printf(" - L2 error norm: % le\n", l2_err_norm2);
if (h1_err_norm2 > EPS || l2_err_norm2 > EPS) {
// Calculated solution is not enough precise.
res = ERR_FAILURE;
}
printf(" - H1 error norm: % le\n", h1_err_norm3);
printf(" - L2 error norm: % le\n", l2_err_norm3);
if (h1_err_norm3 > EPS || l2_err_norm3 > EPS) {
// Calculated solution is not enough precise.
res = ERR_FAILURE;
}
#endif
#ifdef RHS2
out_fn_vtk(&sln, "solution");
#elif defined SYS3
out_fn_vtk(&sln1, "sln1");
out_fn_vtk(&sln2, "sln2");
out_fn_vtk(&sln3, "sln3");
#endif
}
else
res = ERR_FAILURE;
// Print timing information.
info("Solution and mesh with polynomial orders saved. Total running time: %g s", sln_time.accumulated());
// Clean up.
delete matrix;
delete rhs;
delete solver;
return res;
}
int main(int argc, char **argv) {
int res = ERR_SUCCESS;
#ifdef WITH_PETSC
PetscInitialize(&argc, &argv, (char *) PETSC_NULL, PETSC_NULL);
#endif
set_verbose(false);
if (argc < 5) error("Not enough parameters.");
H1ShapesetLobattoHex shapeset;
printf("* Loading mesh '%s'\n", argv[1]);
Mesh mesh;
Mesh3DReader mloader;
if (!mloader.load(argv[1], &mesh)) error("Loading mesh file '%s'\n", argv[1]);
printf("* Setting the space up\n");
H1Space space(&mesh, &shapeset);
space.set_bc_types(bc_types);
space.set_essential_bc_values(essential_bc_values);
int o[3] = { 0, 0, 0 };
sscanf(argv[2], "%d", o + 0);
sscanf(argv[3], "%d", o + 1);
sscanf(argv[4], "%d", o + 2);
order3_t order(o[0], o[1], o[2]);
printf(" - Setting uniform order to (%d, %d, %d)\n", order.x, order.y, order.z);
space.set_uniform_order(order);
WeakForm wf;
wf.add_matrix_form(bilinear_form<double, scalar>, bilinear_form<ord_t, ord_t>, SYM, ANY);
wf.add_vector_form(linear_form<double, scalar>, linear_form<ord_t, ord_t>, ANY);
LinearProblem lp(&wf);
lp.set_space(&space);
bool done = false;
int iter = 0;
do {
Timer assemble_timer("Assembling stiffness matrix");
Timer solve_timer("Solving stiffness matrix");
printf("\n=== Iter #%d ================================================================\n", iter);
printf("\nSolution\n");
#if defined WITH_UMFPACK
UMFPackMatrix mat;
UMFPackVector rhs;
UMFPackLinearSolver solver(&mat, &rhs);
#elif defined WITH_PARDISO
PardisoMatrix mat;
PardisoVector rhs;
PardisoLinearSolver solver(&mat, &rhs);
#elif defined WITH_PETSC
PetscMatrix mat;
PetscVector rhs;
PetscLinearSolver solver(&mat, &rhs);
#elif defined WITH_MUMPS
MumpsMatrix mat;
MumpsVector rhs;
MumpsSolver solver(&mat, &rhs);
#endif
int ndofs = space.assign_dofs();
printf(" - Number of DOFs: %d\n", ndofs);
// assemble stiffness matrix
printf(" - Assembling... "); fflush(stdout);
assemble_timer.reset();
assemble_timer.start();
lp.assemble(&mat, &rhs);
assemble_timer.stop();
printf("done in %s (%lf secs)\n", assemble_timer.get_human_time(), assemble_timer.get_seconds());
// solve the stiffness matrix
printf(" - Solving... "); fflush(stdout);
solve_timer.reset();
solve_timer.start();
bool solved = solver.solve();
solve_timer.stop();
if (solved)
printf("done in %s (%lf secs)\n", solve_timer.get_human_time(), solve_timer.get_seconds());
else {
res = ERR_FAILURE;
printf("failed\n");
break;
}
printf("Reference solution\n");
#if defined WITH_UMFPACK
UMFPackLinearSolver rsolver(&mat, &rhs);
#elif defined WITH_PARDISO
PardisoLinearSolver rsolver(&mat, &rhs);
#elif defined WITH_PETSC
PetscLinearSolver rsolver(&mat, &rhs);
#elif defined WITH_MUMPS
MumpsSolver rsolver(&mat, &rhs);
#endif
Mesh rmesh;
rmesh.copy(mesh);
rmesh.refine_all_elements(H3D_H3D_H3D_REFT_HEX_XYZ);
Space *rspace = space.dup(&rmesh);
rspace->copy_orders(space, 1);
LinearProblem rlp(&wf);
rlp.set_space(rspace);
int rndofs = rspace->assign_dofs();
printf(" - Number of DOFs: %d\n", rndofs);
printf(" - Assembling... "); fflush(stdout);
assemble_timer.reset();
assemble_timer.start();
rlp.assemble(&mat, &rhs);
assemble_timer.stop();
printf("done in %s (%lf secs)\n", assemble_timer.get_human_time(), assemble_timer.get_seconds());
printf(" - Solving... "); fflush(stdout);
solve_timer.reset();
solve_timer.start();
bool rsolved = rsolver.solve();
solve_timer.stop();
if (rsolved)
printf("done in %s (%lf secs)\n", solve_timer.get_human_time(), solve_timer.get_seconds());
else {
res = ERR_FAILURE;
printf("failed\n");
break;
}
Solution sln(&mesh);
sln.set_coeff_vector(&space, solver.get_solution());
Solution rsln(&rmesh);
rsln.set_coeff_vector(rspace, rsolver.get_solution());
printf("Adaptivity:\n");
H1Adapt hp(&space);
double tol = hp.calc_error(&sln, &rsln) * 100;
printf(" - tolerance: "); fflush(stdout);
printf("% lf\n", tol);
if (tol < TOLERANCE) {
printf("\nDone\n");
ExactSolution ex_sln(&mesh, exact_solution);
// norm
double h1_sln_norm = h1_norm(&sln);
double h1_err_norm = h1_error(&sln, &ex_sln);
printf(" - H1 solution norm: % le\n", h1_sln_norm);
printf(" - H1 error norm: % le\n", h1_err_norm);
double l2_sln_norm = l2_norm(&sln);
double l2_err_norm = l2_error(&sln, &ex_sln);
printf(" - L2 solution norm: % le\n", l2_sln_norm);
printf(" - L2 error norm: % le\n", l2_err_norm);
if (h1_err_norm > EPS || l2_err_norm > EPS) {
// calculated solution is not enough precise
res = ERR_FAILURE;
}
break;
}
Timer t("");
printf(" - adapting... "); fflush(stdout);
t.start();
hp.adapt(THRESHOLD);
t.stop();
printf("done in %lf secs (refined %d element(s))\n", t.get_seconds(), hp.get_num_refined_elements());
iter++;
} while (!done);
#ifdef WITH_PETSC
PetscFinalize();
#endif
return res;
}
int main(int argc, char **args)
{
set_verbose(false);
if (argc < 3) error("Not enough parameters");
char *type = args[1];
Mesh mesh;
Mesh3DReader mesh_loader;
if (!mesh_loader.load(args[2], &mesh)) error("Loading mesh file '%s'\n", args[2]);
if (strcmp(type, "sln") == 0) {
// Testing on Exact solution which always gives the same value (values from Solution may differ by epsilon)
ExactSolution ex_sln(&mesh, exact_solution);
output.out(&ex_sln, "U");
}
else if (strcmp(type, "vec-sln") == 0) {
// Testing on Exact solution which always gives the same value (values from Solution may differ by epsilon)
ExactSolution ex_sln(&mesh, exact_vec_solution);
output.out(&ex_sln, "U");
}
else if (strcmp(type, "3sln") == 0) {
// Testing on Exact solution which always gives the same value (values from Solution may differ by epsilon)
ExactSolution ex_sln0(&mesh, exact_solution0);
ExactSolution ex_sln1(&mesh, exact_solution1);
ExactSolution ex_sln2(&mesh, exact_solution2);
output.out(&ex_sln0, &ex_sln1, &ex_sln2, "U");
}
else if (strcmp(type, "ord") == 0) {
H1ShapesetLobattoHex shapeset;
H1Space space(&mesh, &shapeset);
space.set_bc_types(bc_types);
space.set_essential_bc_values(essential_bc_values);
order3_t order;
if (mesh.elements[1]->get_mode() == MODE_HEXAHEDRON)
order = order3_t(2, 3, 4);
else if (mesh.elements[1]->get_mode() == MODE_TETRAHEDRON)
order = order3_t(3);
else
error(H3D_ERR_NOT_IMPLEMENTED);
space.set_uniform_order(order);
output.out_orders(&space, "orders");
}
else if (strcmp(type, "bc") == 0) {
output.out_bc(&mesh);
}
else if (strcmp(type, "mat") == 0) {
StiffMatrix mat;
test_mat(&mesh, mat);
output.out(&mat);
}
else if (strcmp(type, "mm") == 0) {
test_mm(&mesh);
}
return 0;
}