| 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 | static char help[] = "Illustrates region filtering in PEP (based on spring).\n\n" | ||
| 12 | "The command line options are:\n" | ||
| 13 | " -n <n> ... number of grid subdivisions.\n" | ||
| 14 | " -mu <value> ... mass (default 1).\n" | ||
| 15 | " -tau <value> ... damping constant of the dampers (default 10).\n" | ||
| 16 | " -kappa <value> ... damping constant of the springs (default 5).\n\n"; | ||
| 17 | |||
| 18 | #include <slepcpep.h> | ||
| 19 | |||
| 20 | 30 | int main(int argc,char **argv) | |
| 21 | { | ||
| 22 | 30 | Mat M,C,K,A[3]; /* problem matrices */ | |
| 23 | 30 | PEP pep; /* polynomial eigenproblem solver context */ | |
| 24 | 30 | RG rg; | |
| 25 | 30 | PetscInt n=30,Istart,Iend,i; | |
| 26 | 30 | PetscReal mu=1.0,tau=10.0,kappa=5.0; | |
| 27 | |||
| 28 |
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30 | PetscFunctionBeginUser; |
| 29 |
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30 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 30 | |||
| 31 |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
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30 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-mu",&mu,NULL)); |
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30 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-tau",&tau,NULL)); |
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30 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-kappa",&kappa,NULL)); |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nDamped mass-spring system, n=%" PetscInt_FMT " mu=%g tau=%g kappa=%g\n\n",n,(double)mu,(double)tau,(double)kappa)); |
| 36 | |||
| 37 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 38 | Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0 | ||
| 39 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 40 | |||
| 41 | /* K is a tridiagonal */ | ||
| 42 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&K)); |
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30 | PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
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30 | PetscCall(MatSetFromOptions(K)); |
| 45 | |||
| 46 |
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30 | PetscCall(MatGetOwnershipRange(K,&Istart,&Iend)); |
| 47 |
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930 | for (i=Istart;i<Iend;i++) { |
| 48 |
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900 | if (i>0) PetscCall(MatSetValue(K,i,i-1,-kappa,INSERT_VALUES)); |
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900 | PetscCall(MatSetValue(K,i,i,kappa*3.0,INSERT_VALUES)); |
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900 | if (i<n-1) PetscCall(MatSetValue(K,i,i+1,-kappa,INSERT_VALUES)); |
| 51 | } | ||
| 52 | |||
| 53 |
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30 | PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY)); |
| 54 |
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30 | PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY)); |
| 55 | |||
| 56 | /* C is a tridiagonal */ | ||
| 57 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&C)); |
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30 | PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
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30 | PetscCall(MatSetFromOptions(C)); |
| 60 | |||
| 61 |
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30 | PetscCall(MatGetOwnershipRange(C,&Istart,&Iend)); |
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930 | for (i=Istart;i<Iend;i++) { |
| 63 |
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900 | if (i>0) PetscCall(MatSetValue(C,i,i-1,-tau,INSERT_VALUES)); |
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900 | PetscCall(MatSetValue(C,i,i,tau*3.0,INSERT_VALUES)); |
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900 | if (i<n-1) PetscCall(MatSetValue(C,i,i+1,-tau,INSERT_VALUES)); |
| 66 | } | ||
| 67 | |||
| 68 |
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30 | PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY)); |
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30 | PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY)); |
| 70 | |||
| 71 | /* M is a diagonal matrix */ | ||
| 72 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&M)); |
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30 | PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
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30 | PetscCall(MatSetFromOptions(M)); |
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30 | PetscCall(MatGetOwnershipRange(M,&Istart,&Iend)); |
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930 | for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(M,i,i,mu,INSERT_VALUES)); |
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30 | PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY)); |
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30 | PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY)); |
| 79 | |||
| 80 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 81 | Create a region for filtering | ||
| 82 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 83 | |||
| 84 |
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30 | PetscCall(RGCreate(PETSC_COMM_WORLD,&rg)); |
| 85 |
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30 | PetscCall(RGSetType(rg,RGINTERVAL)); |
| 86 | #if defined(PETSC_USE_COMPLEX) | ||
| 87 |
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15 | PetscCall(RGIntervalSetEndpoints(rg,-47.0,-35.0,-0.001,0.001)); |
| 88 | #else | ||
| 89 |
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15 | PetscCall(RGIntervalSetEndpoints(rg,-47.0,-35.0,-0.0,0.0)); |
| 90 | #endif | ||
| 91 | |||
| 92 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 93 | Create the eigensolver and solve the problem | ||
| 94 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 95 | |||
| 96 |
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30 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
| 97 |
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30 | PetscCall(PEPSetRG(pep,rg)); |
| 98 | 30 | A[0] = K; A[1] = C; A[2] = M; | |
| 99 |
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30 | PetscCall(PEPSetOperators(pep,3,A)); |
| 100 |
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30 | PetscCall(PEPSetTolerances(pep,PETSC_SMALL,PETSC_CURRENT)); |
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30 | PetscCall(PEPSetFromOptions(pep)); |
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30 | PetscCall(PEPSolve(pep)); |
| 103 | |||
| 104 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 105 | Display solution and clean up | ||
| 106 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 107 | |||
| 108 |
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30 | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
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30 | PetscCall(PEPDestroy(&pep)); |
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30 | PetscCall(MatDestroy(&M)); |
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30 | PetscCall(MatDestroy(&C)); |
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30 | PetscCall(MatDestroy(&K)); |
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30 | PetscCall(RGDestroy(&rg)); |
| 114 |
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30 | PetscCall(SlepcFinalize()); |
| 115 | return 0; | ||
| 116 | } | ||
| 117 | |||
| 118 | /*TEST | ||
| 119 | |||
| 120 | test: | ||
| 121 | args: -pep_nev 8 -pep_type {{toar linear qarnoldi}} | ||
| 122 | suffix: 1 | ||
| 123 | requires: !single | ||
| 124 | output_file: output/test12_1.out | ||
| 125 | |||
| 126 | TEST*/ | ||
| 127 |