void SlepcEigenSolver<T>::attach_deflation_space(NumericVector<T>& deflation_vector_in) { this->init(); int ierr = 0; Vec deflation_vector = (libmesh_cast_ptr<PetscVector<T>*>(&deflation_vector_in))->vec(); Vec* deflation_space = &deflation_vector; #if SLEPC_VERSION_LESS_THAN(3,1,0) ierr = EPSAttachDeflationSpace(_eps, 1, deflation_space, PETSC_FALSE); #else ierr = EPSSetDeflationSpace(_eps, 1, deflation_space); #endif LIBMESH_CHKERRABORT(ierr); }
void SlepcEigenSolver<T>::attach_deflation_space(NumericVector<T> & deflation_vector_in) { this->init(); PetscErrorCode ierr = 0; // Make sure the input vector is actually a PetscVector PetscVector<T> * deflation_vector_petsc_vec = dynamic_cast<PetscVector<T> *>(&deflation_vector_in); if (!deflation_vector_petsc_vec) libmesh_error_msg("Error attaching deflation space: input vector must be a PetscVector."); // Get a handle for the underlying Vec. Vec deflation_vector = deflation_vector_petsc_vec->vec(); #if SLEPC_VERSION_LESS_THAN(3,1,0) ierr = EPSAttachDeflationSpace(_eps, 1, &deflation_vector, PETSC_FALSE); #else ierr = EPSSetDeflationSpace(_eps, 1, &deflation_vector); #endif LIBMESH_CHKERR(ierr); }
int main( int argc, char **argv ) { Mat A; /* operator matrix */ Vec x; EPS eps; /* eigenproblem solver context */ const EPSType type; PetscReal error, tol, re, im; PetscScalar kr, ki; PetscErrorCode ierr; PetscInt N, n=10, m, i, j, II, Istart, Iend, nev, maxit, its, nconv; PetscScalar w; PetscBool flag; SlepcInitialize(&argc,&argv,(char*)0,help); ierr = PetscOptionsGetInt(PETSC_NULL,"-n",&n,PETSC_NULL);CHKERRQ(ierr); ierr = PetscOptionsGetInt(PETSC_NULL,"-m",&m,&flag);CHKERRQ(ierr); if(!flag) m=n; N = n*m; ierr = PetscPrintf(PETSC_COMM_WORLD,"\nFiedler vector of a 2-D regular mesh, N=%d (%dx%d grid)\n\n",N,n,m);CHKERRQ(ierr); /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Compute the operator matrix that defines the eigensystem, Ax=kx In this example, A = L(G), where L is the Laplacian of graph G, i.e. Lii = degree of node i, Lij = -1 if edge (i,j) exists in G - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr); ierr = MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);CHKERRQ(ierr); ierr = MatSetFromOptions(A);CHKERRQ(ierr); ierr = MatGetOwnershipRange(A,&Istart,&Iend);CHKERRQ(ierr); for( II=Istart; II<Iend; II++ ) { i = II/n; j = II-i*n; w = 0.0; if(i>0) { ierr = MatSetValue(A,II,II-n,-1.0,INSERT_VALUES);CHKERRQ(ierr); w=w+1.0; } if(i<m-1) { ierr = MatSetValue(A,II,II+n,-1.0,INSERT_VALUES);CHKERRQ(ierr); w=w+1.0; } if(j>0) { ierr = MatSetValue(A,II,II-1,-1.0,INSERT_VALUES);CHKERRQ(ierr); w=w+1.0; } if(j<n-1) { ierr = MatSetValue(A,II,II+1,-1.0,INSERT_VALUES);CHKERRQ(ierr); w=w+1.0; } ierr = MatSetValue(A,II,II,w,INSERT_VALUES);CHKERRQ(ierr); } ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Create the eigensolver and set various options - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ /* Create eigensolver context */ ierr = EPSCreate(PETSC_COMM_WORLD,&eps);CHKERRQ(ierr); /* Set operators. In this case, it is a standard eigenvalue problem */ ierr = EPSSetOperators(eps,A,PETSC_NULL);CHKERRQ(ierr); ierr = EPSSetProblemType(eps,EPS_HEP);CHKERRQ(ierr); /* Select portion of spectrum */ ierr = EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);CHKERRQ(ierr); /* Set solver parameters at runtime */ ierr = EPSSetFromOptions(eps);CHKERRQ(ierr); /* Attach deflation space: in this case, the matrix has a constant nullspace, [1 1 ... 1]^T is the eigenvector of the zero eigenvalue */ ierr = MatGetVecs(A,&x,PETSC_NULL);CHKERRQ(ierr); ierr = VecSet(x,1.0);CHKERRQ(ierr); ierr = EPSSetDeflationSpace(eps,1,&x);CHKERRQ(ierr); ierr = VecDestroy(x); /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Solve the eigensystem - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ ierr = EPSSolve(eps);CHKERRQ(ierr); ierr = EPSGetIterationNumber(eps, &its);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD," Number of iterations of the method: %d\n",its);CHKERRQ(ierr); /* Optional: Get some information from the solver and display it */ ierr = EPSGetType(eps,&type);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type);CHKERRQ(ierr); ierr = EPSGetDimensions(eps,&nev,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %d\n",nev);CHKERRQ(ierr); ierr = EPSGetTolerances(eps,&tol,&maxit);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD," Stopping condition: tol=%.4g, maxit=%d\n",tol,maxit);CHKERRQ(ierr); /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Display solution and clean up - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ /* Get number of converged approximate eigenpairs */ ierr = EPSGetConverged(eps,&nconv);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD," Number of converged approximate eigenpairs: %d\n\n",nconv); CHKERRQ(ierr); if (nconv>0) { /* Display eigenvalues and relative errors */ ierr = PetscPrintf(PETSC_COMM_WORLD, " k ||Ax-kx||/||kx||\n" " ----------------- ------------------\n" );CHKERRQ(ierr); for( i=0; i<nconv; i++ ) { /* Get converged eigenpairs: i-th eigenvalue is stored in kr (real part) and ki (imaginary part) */ ierr = EPSGetEigenpair(eps,i,&kr,&ki,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr); /* Compute the relative error associated to each eigenpair */ ierr = EPSComputeRelativeError(eps,i,&error);CHKERRQ(ierr); #ifdef PETSC_USE_COMPLEX re = PetscRealPart(kr); im = PetscImaginaryPart(kr); #else re = kr; im = ki; #endif if (im!=0.0) { ierr = PetscPrintf(PETSC_COMM_WORLD," %9f%+9f j %12g\n",re,im,error);CHKERRQ(ierr); } else { ierr = PetscPrintf(PETSC_COMM_WORLD," %12f %12g\n",re,error);CHKERRQ(ierr); } } ierr = PetscPrintf(PETSC_COMM_WORLD,"\n" );CHKERRQ(ierr); } /* Free work space */ ierr = EPSDestroy(eps);CHKERRQ(ierr); ierr = MatDestroy(A);CHKERRQ(ierr); ierr = SlepcFinalize();CHKERRQ(ierr); return 0; }