Line data Source code
1 : /*
2 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3 : SLEPc - Scalable Library for Eigenvalue Problem Computations
4 : Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5 :
6 : This file is part of SLEPc.
7 : SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9 : */
10 :
11 : static char help[] = "User-defined split preconditioner when solving a generalized eigenproblem.\n\n"
12 : "The command line options are:\n"
13 : " -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
14 : " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";
15 :
16 : #include <slepceps.h>
17 :
18 7 : int main(int argc,char **argv)
19 : {
20 7 : Mat A,B,A0,B0,mats[2]; /* problem matrices and sparser approximations */
21 7 : EPS eps; /* eigenproblem solver context */
22 7 : ST st;
23 7 : PetscInt N,n=24,m,Istart,Iend,II,i,j;
24 7 : PetscBool flag,terse;
25 :
26 7 : PetscFunctionBeginUser;
27 7 : PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
28 :
29 7 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
30 7 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
31 7 : if (!flag) m=n;
32 7 : N = n*m;
33 7 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGHEP with split preconditioner, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
34 :
35 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
36 : Compute the problem matrices A and B
37 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
38 :
39 7 : PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
40 7 : PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
41 7 : PetscCall(MatSetFromOptions(A));
42 :
43 7 : PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
44 7 : PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
45 7 : PetscCall(MatSetFromOptions(B));
46 :
47 7 : PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
48 3463 : for (II=Istart;II<Iend;II++) {
49 3456 : i = II/n; j = II-i*n;
50 3456 : if (i>0) PetscCall(MatSetValue(A,II,II-n,-0.2,INSERT_VALUES));
51 3456 : if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-0.2,INSERT_VALUES));
52 3456 : if (j>0) PetscCall(MatSetValue(A,II,II-1,-3.0,INSERT_VALUES));
53 3456 : if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-3.0,INSERT_VALUES));
54 3456 : PetscCall(MatSetValue(A,II,II,7.0,INSERT_VALUES));
55 3456 : PetscCall(MatSetValue(B,II,II,2.0,INSERT_VALUES));
56 : }
57 7 : if (Istart==0) {
58 6 : PetscCall(MatSetValue(B,0,0,6.0,INSERT_VALUES));
59 6 : PetscCall(MatSetValue(B,0,1,-1.0,INSERT_VALUES));
60 6 : PetscCall(MatSetValue(B,1,0,-1.0,INSERT_VALUES));
61 6 : PetscCall(MatSetValue(B,1,1,1.0,INSERT_VALUES));
62 : }
63 7 : PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
64 7 : PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
65 7 : PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
66 7 : PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
67 :
68 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
69 : Compute sparser approximations A0 and B0
70 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
71 :
72 7 : PetscCall(MatCreate(PETSC_COMM_WORLD,&A0));
73 7 : PetscCall(MatSetSizes(A0,PETSC_DECIDE,PETSC_DECIDE,N,N));
74 7 : PetscCall(MatSetFromOptions(A0));
75 :
76 7 : PetscCall(MatCreate(PETSC_COMM_WORLD,&B0));
77 7 : PetscCall(MatSetSizes(B0,PETSC_DECIDE,PETSC_DECIDE,N,N));
78 7 : PetscCall(MatSetFromOptions(B0));
79 :
80 7 : PetscCall(MatGetOwnershipRange(A0,&Istart,&Iend));
81 3463 : for (II=Istart;II<Iend;II++) {
82 3456 : i = II/n; j = II-i*n;
83 3456 : if (j>0) PetscCall(MatSetValue(A0,II,II-1,-3.0,INSERT_VALUES));
84 3456 : if (j<n-1) PetscCall(MatSetValue(A0,II,II+1,-3.0,INSERT_VALUES));
85 3456 : PetscCall(MatSetValue(A0,II,II,7.0,INSERT_VALUES));
86 3456 : PetscCall(MatSetValue(B0,II,II,2.0,INSERT_VALUES));
87 : }
88 7 : if (Istart==0) {
89 6 : PetscCall(MatSetValue(B0,0,0,6.0,INSERT_VALUES));
90 6 : PetscCall(MatSetValue(B0,1,1,1.0,INSERT_VALUES));
91 : }
92 7 : PetscCall(MatAssemblyBegin(A0,MAT_FINAL_ASSEMBLY));
93 7 : PetscCall(MatAssemblyEnd(A0,MAT_FINAL_ASSEMBLY));
94 7 : PetscCall(MatAssemblyBegin(B0,MAT_FINAL_ASSEMBLY));
95 7 : PetscCall(MatAssemblyEnd(B0,MAT_FINAL_ASSEMBLY));
96 :
97 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
98 : Create the eigensolver and set various options
99 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
100 :
101 7 : PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
102 7 : PetscCall(EPSSetOperators(eps,A,B));
103 7 : PetscCall(EPSSetProblemType(eps,EPS_GHEP));
104 7 : PetscCall(EPSGetST(eps,&st));
105 7 : PetscCall(STSetType(st,STSINVERT));
106 7 : mats[0] = A0; mats[1] = B0;
107 7 : PetscCall(STSetSplitPreconditioner(st,2,mats,SUBSET_NONZERO_PATTERN));
108 7 : PetscCall(EPSSetTarget(eps,0.0));
109 7 : PetscCall(EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE));
110 7 : PetscCall(EPSSetFromOptions(eps));
111 :
112 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
113 : Solve the eigensystem and display solution
114 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
115 :
116 7 : PetscCall(EPSSolve(eps));
117 :
118 : /* show detailed info unless -terse option is given by user */
119 7 : PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
120 7 : if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
121 : else {
122 0 : PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
123 0 : PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD));
124 0 : PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
125 0 : PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
126 : }
127 7 : PetscCall(EPSDestroy(&eps));
128 7 : PetscCall(MatDestroy(&A));
129 7 : PetscCall(MatDestroy(&B));
130 7 : PetscCall(MatDestroy(&A0));
131 7 : PetscCall(MatDestroy(&B0));
132 7 : PetscCall(SlepcFinalize());
133 : return 0;
134 : }
135 :
136 : /*TEST
137 :
138 : testset:
139 : args: -eps_nev 4 -terse
140 : output_file: output/ex49_1.out
141 : requires: !single
142 : test:
143 : suffix: 1
144 : test:
145 : suffix: 1_jd
146 : args: -eps_type jd -st_type precond
147 : test:
148 : suffix: 1_lobpcg
149 : args: -eps_type lobpcg -st_type precond -eps_smallest_real -st_shift 0.2
150 :
151 : testset:
152 : args: -eps_type ciss -eps_all -rg_type ellipse -rg_ellipse_center 0 -rg_ellipse_radius 0.34 -rg_ellipse_vscale .2 -st_ksp_type gmres -terse
153 : output_file: output/ex49_2.out
154 : test:
155 : suffix: 2
156 : test:
157 : suffix: 2_nost
158 : args: -eps_ciss_usest 0
159 : requires: !single
160 : test:
161 : suffix: 2_par
162 : nsize: 2
163 : args: -eps_ciss_partitions 2
164 : requires: !single
165 :
166 : TEST*/
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