Actual source code: ex16.c
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-2011, Universitat Politecnica de Valencia, Spain
6: This file is part of SLEPc.
7:
8: SLEPc is free software: you can redistribute it and/or modify it under the
9: terms of version 3 of the GNU Lesser General Public License as published by
10: the Free Software Foundation.
12: SLEPc is distributed in the hope that it will be useful, but WITHOUT ANY
13: WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
14: FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
15: more details.
17: You should have received a copy of the GNU Lesser General Public License
18: along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
19: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
20: */
22: static char help[] = "Quadratic eigenproblem for testing the QEP object.\n\n"
23: "The command line options are:\n"
24: " -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
25: " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";
27: #include <slepcqep.h>
31: int main(int argc,char **argv)
32: {
33: Mat M,C,K; /* problem matrices */
34: QEP qep; /* quadratic eigenproblem solver context */
35: const QEPType type;
36: PetscReal tol;
37: PetscInt N,n=10,m,Istart,Iend,II,nev,maxit,i,j;
38: PetscBool flag;
41: SlepcInitialize(&argc,&argv,(char*)0,help);
43: PetscOptionsGetInt(PETSC_NULL,"-n",&n,PETSC_NULL);
44: PetscOptionsGetInt(PETSC_NULL,"-m",&m,&flag);
45: if(!flag) m=n;
46: N = n*m;
47: PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%D (%Dx%D grid)\n\n",N,n,m);
49: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
50: Compute the matrices that define the eigensystem, (k^2*K+k*X+M)x=0
51: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
53: /* K is the 2-D Laplacian */
54: MatCreate(PETSC_COMM_WORLD,&K);
55: MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,N,N);
56: MatSetFromOptions(K);
57:
58: MatGetOwnershipRange(K,&Istart,&Iend);
59: for (II=Istart;II<Iend;II++) {
60: i = II/n; j = II-i*n;
61: if(i>0) { MatSetValue(K,II,II-n,-1.0,INSERT_VALUES); }
62: if(i<m-1) { MatSetValue(K,II,II+n,-1.0,INSERT_VALUES); }
63: if(j>0) { MatSetValue(K,II,II-1,-1.0,INSERT_VALUES); }
64: if(j<n-1) { MatSetValue(K,II,II+1,-1.0,INSERT_VALUES); }
65: MatSetValue(K,II,II,4.0,INSERT_VALUES);
66: }
68: MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY);
69: MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY);
71: /* C is the zero matrix */
72: MatCreate(PETSC_COMM_WORLD,&C);
73: MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,N,N);
74: MatSetFromOptions(C);
75: MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
76: MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
77:
78: /* M is the identity matrix */
79: MatCreate(PETSC_COMM_WORLD,&M);
80: MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,N,N);
81: MatSetFromOptions(M);
82: MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);
83: MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);
84: MatShift(M,1.0);
85:
86: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
87: Create the eigensolver and set various options
88: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
90: /*
91: Create eigensolver context
92: */
93: QEPCreate(PETSC_COMM_WORLD,&qep);
95: /*
96: Set matrices and problem type
97: */
98: QEPSetOperators(qep,M,C,K);
99: QEPSetProblemType(qep,QEP_GENERAL);
101: /*
102: Set solver parameters at runtime
103: */
104: QEPSetFromOptions(qep);
106: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
107: Solve the eigensystem
108: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
110: QEPSolve(qep);
112: /*
113: Optional: Get some information from the solver and display it
114: */
115: QEPGetType(qep,&type);
116: PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type);
117: QEPGetDimensions(qep,&nev,PETSC_NULL,PETSC_NULL);
118: PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %D\n",nev);
119: QEPGetTolerances(qep,&tol,&maxit);
120: PetscPrintf(PETSC_COMM_WORLD," Stopping condition: tol=%.4G, maxit=%D\n",tol,maxit);
122: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
123: Display solution and clean up
124: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
126: QEPPrintSolution(qep,PETSC_NULL);
127: QEPDestroy(&qep);
128: MatDestroy(&M);
129: MatDestroy(&C);
130: MatDestroy(&K);
131: SlepcFinalize();
132: return 0;
133: }