Line | Branch | Exec | Source |
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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 | 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)); |
32 |
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30 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-mu",&mu,NULL)); |
33 |
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30 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-tau",&tau,NULL)); |
34 |
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30 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-kappa",&kappa,NULL)); |
35 |
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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)); |
43 |
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30 | PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
44 |
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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)); |
49 |
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900 | PetscCall(MatSetValue(K,i,i,kappa*3.0,INSERT_VALUES)); |
50 |
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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)); |
58 |
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30 | PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
59 |
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30 | PetscCall(MatSetFromOptions(C)); |
60 | |||
61 |
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30 | PetscCall(MatGetOwnershipRange(C,&Istart,&Iend)); |
62 |
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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)); |
64 |
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900 | PetscCall(MatSetValue(C,i,i,tau*3.0,INSERT_VALUES)); |
65 |
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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)); |
69 |
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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)); |
73 |
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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)); |
76 |
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930 | for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(M,i,i,mu,INSERT_VALUES)); |
77 |
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30 | PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY)); |
78 |
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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)); |
101 |
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30 | PetscCall(PEPSetFromOptions(pep)); |
102 |
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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)); |
109 |
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30 | PetscCall(PEPDestroy(&pep)); |
110 |
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30 | PetscCall(MatDestroy(&M)); |
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30 | PetscCall(MatDestroy(&C)); |
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30 | PetscCall(MatDestroy(&K)); |
113 |
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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 |