std::pair<Real, Real> SlepcEigenSolver<T>::get_eigenpair(unsigned int i,
NumericVector<T> &solution_in)
{
int ierr=0;
PetscReal re, im;
// Make sure the NumericVector passed in is really a PetscVector
PetscVector<T>* solution = libmesh_cast_ptr<PetscVector<T>*>(&solution_in);
// real and imaginary part of the ith eigenvalue.
PetscScalar kr, ki;
solution->close();
ierr = EPSGetEigenpair(_eps, i, &kr, &ki, solution->vec(), PETSC_NULL);
LIBMESH_CHKERRABORT(ierr);
#ifdef LIBMESH_USE_COMPLEX_NUMBERS
re = PetscRealPart(kr);
im = PetscImaginaryPart(kr);
#else
re = kr;
im = ki;
#endif
return std::make_pair(re, im);
}
std::pair<unsigned int, Real>
PetscDMNonlinearSolver<T>::solve (SparseMatrix<T>& jac_in, // System Jacobian Matrix
NumericVector<T>& x_in, // Solution vector
NumericVector<T>& r_in, // Residual vector
const double, // Stopping tolerance
const unsigned int)
{
START_LOG("solve()", "PetscNonlinearSolver");
this->init ();
// Make sure the data passed in are really of Petsc types
libmesh_cast_ptr<PetscMatrix<T>*>(&jac_in);
libmesh_cast_ptr<PetscVector<T>*>(&r_in);
// Extract solution vector
PetscVector<T>* x = libmesh_cast_ptr<PetscVector<T>*>(&x_in);
int ierr=0;
int n_iterations =0;
// Should actually be a PetscReal, but I don't know which version of PETSc first introduced PetscReal
Real final_residual_norm=0.;
if (this->user_presolve)
this->user_presolve(this->system());
//Set the preconditioning matrix
if (this->_preconditioner)
this->_preconditioner->set_matrix(jac_in);
ierr = SNESSolve (this->_snes, PETSC_NULL, x->vec());
CHKERRABORT(libMesh::COMM_WORLD,ierr);
ierr = SNESGetIterationNumber(this->_snes,&n_iterations);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
ierr = SNESGetLinearSolveIterations(this->_snes, &this->_n_linear_iterations);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
ierr = SNESGetFunctionNorm(this->_snes,&final_residual_norm);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
// Get and store the reason for convergence
SNESGetConvergedReason(this->_snes, &this->_reason);
//Based on Petsc 2.3.3 documentation all diverged reasons are negative
this->converged = (this->_reason >= 0);
this->clear();
STOP_LOG("solve()", "PetscNonlinearSolver");
// return the # of its. and the final residual norm.
return std::make_pair(n_iterations, final_residual_norm);
}
virtual void setupInternal(NumericVector<Number> &X) {
PetscVector<Number> *pX = cast_ptr<PetscVector<Number> *>(&X);
PetscErrorCode ierr;
ierr = TSSetIFunction(this->_ts,PETSC_NULL,this->_computeIFunction,this);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
PetscMatrix<Number> *mat = cast_ptr<PetscMatrix<Number> *>(this->_fe_problem.getNonlinearSystem().sys().matrix);
Mat pmat = mat->mat();
ierr = TSSetIJacobian(this->_ts,pmat,pmat,this->_computeIJacobian,this);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
ierr = TSSetFromOptions(this->_ts);
CHKERRABORT(libMesh::COMM_WORLD,ierr);
ierr = TSSetSolution(_ts,pX->vec());
CHKERRABORT(libMesh::COMM_WORLD,ierr);
}
std::pair<unsigned int, Real>
PetscNonlinearSolver<T>::solve (SparseMatrix<T>& jac_in, // System Jacobian Matrix
NumericVector<T>& x_in, // Solution vector
NumericVector<T>& r_in, // Residual vector
const double, // Stopping tolerance
const unsigned int)
{
START_LOG("solve()", "PetscNonlinearSolver");
this->init ();
// Make sure the data passed in are really of Petsc types
PetscMatrix<T>* jac = libmesh_cast_ptr<PetscMatrix<T>*>(&jac_in);
PetscVector<T>* x = libmesh_cast_ptr<PetscVector<T>*>(&x_in);
PetscVector<T>* r = libmesh_cast_ptr<PetscVector<T>*>(&r_in);
PetscErrorCode ierr=0;
PetscInt n_iterations =0;
// Should actually be a PetscReal, but I don't know which version of PETSc first introduced PetscReal
Real final_residual_norm=0.;
ierr = SNESSetFunction (_snes, r->vec(), __libmesh_petsc_snes_residual, this);
LIBMESH_CHKERRABORT(ierr);
// Only set the jacobian function if we've been provided with something to call.
// This allows a user to set their own jacobian function if they want to
if (this->jacobian || this->jacobian_object || this->residual_and_jacobian_object)
{
ierr = SNESSetJacobian (_snes, jac->mat(), jac->mat(), __libmesh_petsc_snes_jacobian, this);
LIBMESH_CHKERRABORT(ierr);
}
#if !PETSC_VERSION_LESS_THAN(3,3,0)
// Only set the nullspace if we have a way of computing it and the result is non-empty.
if (this->nullspace || this->nullspace_object)
{
MatNullSpace msp;
this->build_mat_null_space(this->nullspace_object, this->nullspace, &msp);
if (msp)
{
ierr = MatSetNullSpace(jac->mat(), msp);
LIBMESH_CHKERRABORT(ierr);
ierr = MatNullSpaceDestroy(&msp);
LIBMESH_CHKERRABORT(ierr);
}
}
// Only set the nearnullspace if we have a way of computing it and the result is non-empty.
if (this->nearnullspace || this->nearnullspace_object)
{
MatNullSpace msp = PETSC_NULL;
this->build_mat_null_space(this->nearnullspace_object, this->nearnullspace, &msp);
if(msp) {
ierr = MatSetNearNullSpace(jac->mat(), msp);
LIBMESH_CHKERRABORT(ierr);
ierr = MatNullSpaceDestroy(&msp);
LIBMESH_CHKERRABORT(ierr);
}
}
#endif
// Have the Krylov subspace method use our good initial guess rather than 0
KSP ksp;
ierr = SNESGetKSP (_snes, &ksp);
LIBMESH_CHKERRABORT(ierr);
// Set the tolerances for the iterative solver. Use the user-supplied
// tolerance for the relative residual & leave the others at default values
ierr = KSPSetTolerances (ksp, this->initial_linear_tolerance, PETSC_DEFAULT,
PETSC_DEFAULT, this->max_linear_iterations);
LIBMESH_CHKERRABORT(ierr);
// Set the tolerances for the non-linear solver.
ierr = SNESSetTolerances(_snes, this->absolute_residual_tolerance, this->relative_residual_tolerance,
this->relative_step_tolerance, this->max_nonlinear_iterations, this->max_function_evaluations);
LIBMESH_CHKERRABORT(ierr);
//Pull in command-line options
KSPSetFromOptions(ksp);
SNESSetFromOptions(_snes);
if (this->user_presolve)
this->user_presolve(this->system());
//Set the preconditioning matrix
if(this->_preconditioner)
{
this->_preconditioner->set_matrix(jac_in);
this->_preconditioner->init();
}
// ierr = KSPSetInitialGuessNonzero (ksp, PETSC_TRUE);
// LIBMESH_CHKERRABORT(ierr);
// Older versions (at least up to 2.1.5) of SNESSolve took 3 arguments,
// the last one being a pointer to an int to hold the number of iterations required.
# if PETSC_VERSION_LESS_THAN(2,2,0)
ierr = SNESSolve (_snes, x->vec(), &n_iterations);
LIBMESH_CHKERRABORT(ierr);
// 2.2.x style
#elif PETSC_VERSION_LESS_THAN(2,3,0)
ierr = SNESSolve (_snes, x->vec());
LIBMESH_CHKERRABORT(ierr);
// 2.3.x & newer style
#else
ierr = SNESSolve (_snes, PETSC_NULL, x->vec());
LIBMESH_CHKERRABORT(ierr);
ierr = SNESGetIterationNumber(_snes,&n_iterations);
LIBMESH_CHKERRABORT(ierr);
ierr = SNESGetLinearSolveIterations(_snes, &_n_linear_iterations);
LIBMESH_CHKERRABORT(ierr);
ierr = SNESGetFunctionNorm(_snes,&final_residual_norm);
LIBMESH_CHKERRABORT(ierr);
#endif
// Get and store the reason for convergence
SNESGetConvergedReason(_snes, &_reason);
//Based on Petsc 2.3.3 documentation all diverged reasons are negative
this->converged = (_reason >= 0);
this->clear();
STOP_LOG("solve()", "PetscNonlinearSolver");
// return the # of its. and the final residual norm.
return std::make_pair(n_iterations, final_residual_norm);
}
void
PetscNonlinearSolver<T>::build_mat_null_space(NonlinearImplicitSystem::ComputeVectorSubspace* computeSubspaceObject,
void (*computeSubspace)(std::vector<NumericVector<Number>*>&, sys_type&),
MatNullSpace *msp)
{
PetscErrorCode ierr;
std::vector<NumericVector<Number>* > sp;
if (computeSubspaceObject)
(*computeSubspaceObject)(sp, this->system());
else
(*computeSubspace)(sp, this->system());
*msp = PETSC_NULL;
if (sp.size())
{
Vec *modes;
PetscScalar *dots;
PetscInt nmodes = sp.size();
ierr = PetscMalloc2(nmodes,Vec,&modes,nmodes,PetscScalar,&dots);
LIBMESH_CHKERRABORT(ierr);
for (PetscInt i=0; i<nmodes; ++i)
{
PetscVector<T>* pv = libmesh_cast_ptr<PetscVector<T>*>(sp[i]);
Vec v = pv->vec();
ierr = VecDuplicate(v, modes+i);
LIBMESH_CHKERRABORT(ierr);
ierr = VecCopy(v,modes[i]);
LIBMESH_CHKERRABORT(ierr);
}
// Normalize.
ierr = VecNormalize(modes[0],PETSC_NULL);
LIBMESH_CHKERRABORT(ierr);
for (PetscInt i=1; i<nmodes; i++)
{
// Orthonormalize vec[i] against vec[0:i-1]
ierr = VecMDot(modes[i],i,modes,dots);
LIBMESH_CHKERRABORT(ierr);
for (PetscInt j=0; j<i; j++)
dots[j] *= -1.;
ierr = VecMAXPY(modes[i],i,dots,modes);
LIBMESH_CHKERRABORT(ierr);
ierr = VecNormalize(modes[i],PETSC_NULL);
LIBMESH_CHKERRABORT(ierr);
}
ierr = MatNullSpaceCreate(this->comm().get(), PETSC_FALSE, nmodes, modes, msp);
LIBMESH_CHKERRABORT(ierr);
for (PetscInt i=0; i<nmodes; ++i)
{
ierr = VecDestroy(modes+i);
LIBMESH_CHKERRABORT(ierr);
}
ierr = PetscFree2(modes,dots);
LIBMESH_CHKERRABORT(ierr);
}
}
virtual void interpolate(Real time,NumericVector<Number> &X) {
PetscVector<Number> *pX = cast_ptr<PetscVector<Number> *>(&X);
PetscErrorCode ierr;
ierr = TSInterpolate(this->_ts,time,pX->vec());
CHKERRABORT(libMesh::COMM_WORLD,ierr);
}
std::pair<unsigned int, Real>
PetscDMNonlinearSolver<T>::solve (SparseMatrix<T>& jac_in, // System Jacobian Matrix
NumericVector<T>& x_in, // Solution vector
NumericVector<T>& r_in, // Residual vector
const double, // Stopping tolerance
const unsigned int)
{
START_LOG("solve()", "PetscNonlinearSolver");
this->init ();
// Make sure the data passed in are really of Petsc types
libmesh_cast_ptr<PetscMatrix<T>*>(&jac_in);
libmesh_cast_ptr<PetscVector<T>*>(&r_in);
// Extract solution vector
PetscVector<T>* x = libmesh_cast_ptr<PetscVector<T>*>(&x_in);
PetscErrorCode ierr=0;
PetscInt n_iterations =0;
PetscReal final_residual_norm=0.;
if (this->user_presolve)
this->user_presolve(this->system());
//Set the preconditioning matrix
if (this->_preconditioner)
this->_preconditioner->set_matrix(jac_in);
ierr = SNESSolve (this->_snes, PETSC_NULL, x->vec());
LIBMESH_CHKERRABORT(ierr);
ierr = SNESGetIterationNumber(this->_snes,&n_iterations);
LIBMESH_CHKERRABORT(ierr);
ierr = SNESGetLinearSolveIterations(this->_snes, &this->_n_linear_iterations);
LIBMESH_CHKERRABORT(ierr);
#if PETSC_VERSION_LESS_THAN(3,5,0)
// SNESGetFunctionNorm was removed in PETSc 3.5.0
ierr = SNESGetFunctionNorm(this->_snes,&final_residual_norm);
LIBMESH_CHKERRABORT(ierr);
#else
{
/* PB: Not sure where r_in is coming from and it's not used here, so we'll
just get the residual from PETSc */
Vec r;
ierr = SNESGetFunction(this->_snes,&r,NULL,NULL);LIBMESH_CHKERRABORT(ierr);
ierr = VecNorm(r,NORM_2,&final_residual_norm);LIBMESH_CHKERRABORT(ierr);
}
#endif
// Get and store the reason for convergence
SNESGetConvergedReason(this->_snes, &this->_reason);
//Based on Petsc 2.3.3 documentation all diverged reasons are negative
this->converged = (this->_reason >= 0);
this->clear();
STOP_LOG("solve()", "PetscNonlinearSolver");
// return the # of its. and the final residual norm.
return std::make_pair(n_iterations, final_residual_norm);
}