| Line | Branch | Exec | Source |
|---|---|---|---|
| 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)); |
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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)); |
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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)); |
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40 | for (i=0;i<NMAT;i++) { |
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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 |