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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 | This example implements one of the problems found at | ||
12 | NLEVP: A Collection of Nonlinear Eigenvalue Problems, | ||
13 | The University of Manchester. | ||
14 | The details of the collection can be found at: | ||
15 | [1] T. Betcke et al., "NLEVP: A Collection of Nonlinear Eigenvalue | ||
16 | Problems", ACM Trans. Math. Software 39(2), Article 7, 2013. | ||
17 | |||
18 | The loaded_string problem is a rational eigenvalue problem for the | ||
19 | finite element model of a loaded vibrating string. | ||
20 | */ | ||
21 | |||
22 | static char help[] = "Test the NLEIGS solver with FNCOMBINE.\n\n" | ||
23 | "This is based on loaded_string from the NLEVP collection.\n" | ||
24 | "The command line options are:\n" | ||
25 | " -n <n>, dimension of the matrices.\n" | ||
26 | " -kappa <kappa>, stiffness of elastic spring.\n" | ||
27 | " -mass <m>, mass of the attached load.\n\n"; | ||
28 | |||
29 | #include <slepcnep.h> | ||
30 | |||
31 | #define NMAT 3 | ||
32 | |||
33 | 10 | int main(int argc,char **argv) | |
34 | { | ||
35 | 10 | Mat A[NMAT]; /* problem matrices */ | |
36 | 10 | FN f[NMAT],g; /* functions to define the nonlinear operator */ | |
37 | 10 | NEP nep; /* nonlinear eigensolver context */ | |
38 | 10 | PetscInt n=100,Istart,Iend,i; | |
39 | 10 | PetscReal kappa=1.0,m=1.0; | |
40 | 10 | PetscScalar sigma,numer[2],denom[2]; | |
41 | 10 | PetscBool terse; | |
42 | |||
43 |
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10 | PetscFunctionBeginUser; |
44 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
45 | |||
46 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
47 |
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10 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-kappa",&kappa,NULL)); |
48 |
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10 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-mass",&m,NULL)); |
49 | 10 | sigma = kappa/m; | |
50 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Loaded vibrating string, n=%" PetscInt_FMT " kappa=%g m=%g\n\n",n,(double)kappa,(double)m)); |
51 | |||
52 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
53 | Build the problem matrices | ||
54 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
55 | |||
56 | /* initialize matrices */ | ||
57 |
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40 | for (i=0;i<NMAT;i++) { |
58 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[i])); |
59 |
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30 | PetscCall(MatSetSizes(A[i],PETSC_DECIDE,PETSC_DECIDE,n,n)); |
60 |
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30 | PetscCall(MatSetFromOptions(A[i])); |
61 | } | ||
62 |
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10 | PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend)); |
63 | |||
64 | /* A0 */ | ||
65 |
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1010 | for (i=Istart;i<Iend;i++) { |
66 |
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1000 | PetscCall(MatSetValue(A[0],i,i,(i==n-1)?1.0*n:2.0*n,INSERT_VALUES)); |
67 |
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1000 | if (i>0) PetscCall(MatSetValue(A[0],i,i-1,-1.0*n,INSERT_VALUES)); |
68 |
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1000 | if (i<n-1) PetscCall(MatSetValue(A[0],i,i+1,-1.0*n,INSERT_VALUES)); |
69 | } | ||
70 | |||
71 | /* A1 */ | ||
72 |
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1010 | for (i=Istart;i<Iend;i++) { |
73 |
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1000 | PetscCall(MatSetValue(A[1],i,i,(i==n-1)?2.0/(6.0*n):4.0/(6.0*n),INSERT_VALUES)); |
74 |
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1000 | if (i>0) PetscCall(MatSetValue(A[1],i,i-1,1.0/(6.0*n),INSERT_VALUES)); |
75 |
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1000 | if (i<n-1) PetscCall(MatSetValue(A[1],i,i+1,1.0/(6.0*n),INSERT_VALUES)); |
76 | } | ||
77 | |||
78 | /* A2 */ | ||
79 |
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10 | if (Istart<=n-1 && n-1<Iend) PetscCall(MatSetValue(A[2],n-1,n-1,kappa,INSERT_VALUES)); |
80 | |||
81 | /* assemble matrices */ | ||
82 |
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40 | for (i=0;i<NMAT;i++) PetscCall(MatAssemblyBegin(A[i],MAT_FINAL_ASSEMBLY)); |
83 |
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40 | for (i=0;i<NMAT;i++) PetscCall(MatAssemblyEnd(A[i],MAT_FINAL_ASSEMBLY)); |
84 | |||
85 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
86 | Create the problem functions | ||
87 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
88 | |||
89 | /* f1=1 */ | ||
90 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f[0])); |
91 |
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10 | PetscCall(FNSetType(f[0],FNRATIONAL)); |
92 | 10 | numer[0] = 1.0; | |
93 |
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10 | PetscCall(FNRationalSetNumerator(f[0],1,numer)); |
94 | |||
95 | /* f2=-lambda */ | ||
96 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f[1])); |
97 |
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10 | PetscCall(FNSetType(f[1],FNRATIONAL)); |
98 | 10 | numer[0] = -1.0; numer[1] = 0.0; | |
99 |
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10 | PetscCall(FNRationalSetNumerator(f[1],2,numer)); |
100 | |||
101 | /* f3=lambda/(lambda-sigma)=1+sigma/(lambda-sigma) */ | ||
102 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&g)); |
103 |
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10 | PetscCall(FNSetType(g,FNRATIONAL)); |
104 | 10 | numer[0] = sigma; | |
105 | 10 | denom[0] = 1.0; denom[1] = -sigma; | |
106 |
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10 | PetscCall(FNRationalSetNumerator(g,1,numer)); |
107 |
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10 | PetscCall(FNRationalSetDenominator(g,2,denom)); |
108 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f[2])); |
109 |
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10 | PetscCall(FNSetType(f[2],FNCOMBINE)); |
110 |
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10 | PetscCall(FNCombineSetChildren(f[2],FN_COMBINE_ADD,f[0],g)); |
111 | |||
112 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
113 | Create the eigensolver and solve the problem | ||
114 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
115 | |||
116 |
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10 | PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep)); |
117 |
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10 | PetscCall(NEPSetSplitOperator(nep,3,A,f,SUBSET_NONZERO_PATTERN)); |
118 |
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10 | PetscCall(NEPSetProblemType(nep,NEP_RATIONAL)); |
119 |
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10 | PetscCall(NEPSetFromOptions(nep)); |
120 |
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10 | PetscCall(NEPSolve(nep)); |
121 | |||
122 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
123 | Display solution and clean up | ||
124 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
125 | |||
126 | /* show detailed info unless -terse option is given by user */ | ||
127 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
128 |
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10 | if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,NULL)); |
129 | else { | ||
130 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
131 | ✗ | PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD)); | |
132 | ✗ | PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); | |
133 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
134 | } | ||
135 |
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10 | PetscCall(NEPDestroy(&nep)); |
136 |
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40 | for (i=0;i<NMAT;i++) { |
137 |
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30 | PetscCall(MatDestroy(&A[i])); |
138 |
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30 | PetscCall(FNDestroy(&f[i])); |
139 | } | ||
140 |
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10 | PetscCall(FNDestroy(&g)); |
141 |
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10 | PetscCall(SlepcFinalize()); |
142 | return 0; | ||
143 | } | ||
144 | |||
145 | /*TEST | ||
146 | |||
147 | test: | ||
148 | suffix: 1 | ||
149 | args: -nep_type nleigs -rg_type interval -rg_interval_endpoints 4,700,-.1,.1 -nep_nev 8 -nep_target 5 -terse | ||
150 | filter: sed -e "s/[+-]0\.0*i//g" | ||
151 | requires: !single | ||
152 | |||
153 | TEST*/ | ||
154 |