| 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 the use of a user-defined stopping test.\n\n" | ||
| 12 | "This is based on ex22.\n" | ||
| 13 | "The command line options are:\n" | ||
| 14 | " -n <n>, where <n> = number of grid subdivisions.\n" | ||
| 15 | " -tau <tau>, where <tau> is the delay parameter.\n\n"; | ||
| 16 | |||
| 17 | /* | ||
| 18 | Solve parabolic partial differential equation with time delay tau | ||
| 19 | |||
| 20 | u_t = u_xx + a*u(t) + b*u(t-tau) | ||
| 21 | u(0,t) = u(pi,t) = 0 | ||
| 22 | |||
| 23 | with a = 20 and b(x) = -4.1+x*(1-exp(x-pi)). | ||
| 24 | |||
| 25 | Discretization leads to a DDE of dimension n | ||
| 26 | |||
| 27 | -u' = A*u(t) + B*u(t-tau) | ||
| 28 | |||
| 29 | which results in the nonlinear eigenproblem | ||
| 30 | |||
| 31 | (-lambda*I + A + exp(-tau*lambda)*B)*u = 0 | ||
| 32 | */ | ||
| 33 | |||
| 34 | #include <slepcnep.h> | ||
| 35 | |||
| 36 | /* | ||
| 37 | User-defined routines | ||
| 38 | */ | ||
| 39 | PetscErrorCode MyStoppingTest(NEP,PetscInt,PetscInt,PetscInt,PetscInt,NEPConvergedReason*,void*); | ||
| 40 | |||
| 41 | typedef struct { | ||
| 42 | PetscInt lastnconv; /* last value of nconv; used in stopping test */ | ||
| 43 | PetscInt nreps; /* number of repetitions of nconv; used in stopping test */ | ||
| 44 | } CTX_DELAY; | ||
| 45 | |||
| 46 | 10 | int main(int argc,char **argv) | |
| 47 | { | ||
| 48 | 10 | NEP nep; | |
| 49 | 10 | Mat Id,A,B; | |
| 50 | 10 | FN f1,f2,f3; | |
| 51 | 10 | RG rg; | |
| 52 | 10 | CTX_DELAY *ctx; | |
| 53 | 10 | Mat mats[3]; | |
| 54 | 10 | FN funs[3]; | |
| 55 | 10 | PetscScalar coeffs[2],b; | |
| 56 | 10 | PetscInt n=128,Istart,Iend,i,mpd; | |
| 57 | 10 | PetscReal tau=0.001,h,a=20,xi; | |
| 58 | 10 | PetscBool terse; | |
| 59 | 10 | PetscViewer viewer; | |
| 60 | |||
| 61 |
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10 | PetscFunctionBeginUser; |
| 62 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 63 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 64 |
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10 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-tau",&tau,NULL)); |
| 65 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Delay Eigenproblem, n=%" PetscInt_FMT ", tau=%g\n\n",n,(double)tau)); |
| 66 | 10 | h = PETSC_PI/(PetscReal)(n+1); | |
| 67 | |||
| 68 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 69 | Create nonlinear eigensolver context | ||
| 70 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 71 | |||
| 72 |
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10 | PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep)); |
| 73 | |||
| 74 | /* Identity matrix */ | ||
| 75 |
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10 | PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n,1.0,&Id)); |
| 76 |
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10 | PetscCall(MatSetOption(Id,MAT_HERMITIAN,PETSC_TRUE)); |
| 77 | |||
| 78 | /* A = 1/h^2*tridiag(1,-2,1) + a*I */ | ||
| 79 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 80 |
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10 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
| 81 |
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10 | PetscCall(MatSetFromOptions(A)); |
| 82 |
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10 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 83 |
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1290 | for (i=Istart;i<Iend;i++) { |
| 84 |
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1280 | if (i>0) PetscCall(MatSetValue(A,i,i-1,1.0/(h*h),INSERT_VALUES)); |
| 85 |
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1280 | if (i<n-1) PetscCall(MatSetValue(A,i,i+1,1.0/(h*h),INSERT_VALUES)); |
| 86 |
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1280 | PetscCall(MatSetValue(A,i,i,-2.0/(h*h)+a,INSERT_VALUES)); |
| 87 | } | ||
| 88 |
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10 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 89 |
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10 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 90 |
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10 | PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE)); |
| 91 | |||
| 92 | /* B = diag(b(xi)) */ | ||
| 93 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
| 94 |
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10 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
| 95 |
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10 | PetscCall(MatSetFromOptions(B)); |
| 96 |
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10 | PetscCall(MatGetOwnershipRange(B,&Istart,&Iend)); |
| 97 |
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1290 | for (i=Istart;i<Iend;i++) { |
| 98 | 1280 | xi = (i+1)*h; | |
| 99 | 1280 | b = -4.1+xi*(1.0-PetscExpReal(xi-PETSC_PI)); | |
| 100 |
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1280 | PetscCall(MatSetValues(B,1,&i,1,&i,&b,INSERT_VALUES)); |
| 101 | } | ||
| 102 |
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10 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
| 103 |
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10 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
| 104 |
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10 | PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE)); |
| 105 | |||
| 106 | /* Functions: f1=-lambda, f2=1.0, f3=exp(-tau*lambda) */ | ||
| 107 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f1)); |
| 108 |
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10 | PetscCall(FNSetType(f1,FNRATIONAL)); |
| 109 | 10 | coeffs[0] = -1.0; coeffs[1] = 0.0; | |
| 110 |
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10 | PetscCall(FNRationalSetNumerator(f1,2,coeffs)); |
| 111 | |||
| 112 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f2)); |
| 113 |
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10 | PetscCall(FNSetType(f2,FNRATIONAL)); |
| 114 | 10 | coeffs[0] = 1.0; | |
| 115 |
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10 | PetscCall(FNRationalSetNumerator(f2,1,coeffs)); |
| 116 | |||
| 117 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f3)); |
| 118 |
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10 | PetscCall(FNSetType(f3,FNEXP)); |
| 119 |
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10 | PetscCall(FNSetScale(f3,-tau,1.0)); |
| 120 | |||
| 121 | /* Set the split operator */ | ||
| 122 | 10 | mats[0] = A; funs[0] = f2; | |
| 123 | 10 | mats[1] = Id; funs[1] = f1; | |
| 124 | 10 | mats[2] = B; funs[2] = f3; | |
| 125 |
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10 | PetscCall(NEPSetSplitOperator(nep,3,mats,funs,SUBSET_NONZERO_PATTERN)); |
| 126 | |||
| 127 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 128 | Customize nonlinear solver; set runtime options | ||
| 129 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 130 | |||
| 131 |
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10 | PetscCall(NEPSetType(nep,NEPNLEIGS)); |
| 132 |
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10 | PetscCall(NEPGetRG(nep,&rg)); |
| 133 |
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10 | PetscCall(RGSetType(rg,RGINTERVAL)); |
| 134 | #if defined(PETSC_USE_COMPLEX) | ||
| 135 |
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5 | PetscCall(RGIntervalSetEndpoints(rg,5,20,-0.001,0.001)); |
| 136 | #else | ||
| 137 |
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5 | PetscCall(RGIntervalSetEndpoints(rg,5,20,-0.0,0.0)); |
| 138 | #endif | ||
| 139 |
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10 | PetscCall(NEPSetTarget(nep,15.0)); |
| 140 |
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10 | PetscCall(NEPSetWhichEigenpairs(nep,NEP_TARGET_MAGNITUDE)); |
| 141 | |||
| 142 | /* | ||
| 143 | Set solver options. In particular, we must allocate sufficient | ||
| 144 | storage for all eigenpairs that may converge (ncv). This is | ||
| 145 | application-dependent. | ||
| 146 | */ | ||
| 147 | 10 | mpd = 40; | |
| 148 |
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10 | PetscCall(NEPSetDimensions(nep,2*mpd,3*mpd,mpd)); |
| 149 |
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10 | PetscCall(NEPSetTolerances(nep,PETSC_CURRENT,2000)); |
| 150 |
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10 | PetscCall(PetscNew(&ctx)); |
| 151 | 10 | ctx->lastnconv = 0; | |
| 152 | 10 | ctx->nreps = 0; | |
| 153 |
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10 | PetscCall(NEPSetStoppingTestFunction(nep,MyStoppingTest,(void*)ctx,NULL)); |
| 154 | |||
| 155 |
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10 | PetscCall(NEPSetFromOptions(nep)); |
| 156 | |||
| 157 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 158 | Solve the eigensystem | ||
| 159 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 160 | |||
| 161 |
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10 | PetscCall(NEPSolve(nep)); |
| 162 | |||
| 163 | /* show detailed info unless -terse option is given by user */ | ||
| 164 |
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10 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
| 165 |
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10 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
| 166 |
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10 | PetscCall(NEPConvergedReasonView(nep,viewer)); |
| 167 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
| 168 |
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10 | if (!terse) PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,viewer)); |
| 169 |
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10 | PetscCall(PetscViewerPopFormat(viewer)); |
| 170 | |||
| 171 |
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10 | PetscCall(NEPDestroy(&nep)); |
| 172 |
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10 | PetscCall(MatDestroy(&Id)); |
| 173 |
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10 | PetscCall(MatDestroy(&A)); |
| 174 |
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10 | PetscCall(MatDestroy(&B)); |
| 175 |
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10 | PetscCall(FNDestroy(&f1)); |
| 176 |
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10 | PetscCall(FNDestroy(&f2)); |
| 177 |
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10 | PetscCall(FNDestroy(&f3)); |
| 178 |
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10 | PetscCall(PetscFree(ctx)); |
| 179 |
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10 | PetscCall(SlepcFinalize()); |
| 180 | return 0; | ||
| 181 | } | ||
| 182 | |||
| 183 | /* | ||
| 184 | Function for user-defined stopping test. | ||
| 185 | |||
| 186 | Ignores the value of nev. It only takes into account the number of | ||
| 187 | eigenpairs that have converged in recent outer iterations (restarts); | ||
| 188 | if no new eigenvalues have converged in the last few restarts, | ||
| 189 | we stop the iteration, assuming that no more eigenvalues are present | ||
| 190 | inside the region. | ||
| 191 | */ | ||
| 192 | 120 | PetscErrorCode MyStoppingTest(NEP nep,PetscInt its,PetscInt max_it,PetscInt nconv,PetscInt nev,NEPConvergedReason *reason,void *ptr) | |
| 193 | { | ||
| 194 | 120 | CTX_DELAY *ctx = (CTX_DELAY*)ptr; | |
| 195 | |||
| 196 |
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120 | PetscFunctionBeginUser; |
| 197 | /* check usual termination conditions, but ignoring the case nconv>=nev */ | ||
| 198 |
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120 | PetscCall(NEPStoppingBasic(nep,its,max_it,nconv,PETSC_INT_MAX,reason,NULL)); |
| 199 |
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120 | if (*reason==NEP_CONVERGED_ITERATING) { |
| 200 | /* check if nconv is the same as before */ | ||
| 201 |
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120 | if (nconv==ctx->lastnconv) ctx->nreps++; |
| 202 | else { | ||
| 203 | 10 | ctx->lastnconv = nconv; | |
| 204 | 10 | ctx->nreps = 0; | |
| 205 | } | ||
| 206 | /* check if no eigenvalues converged in last 10 restarts */ | ||
| 207 |
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120 | if (nconv && ctx->nreps>10) *reason = NEP_CONVERGED_USER; |
| 208 | } | ||
| 209 |
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24 | PetscFunctionReturn(PETSC_SUCCESS); |
| 210 | } | ||
| 211 | |||
| 212 | /*TEST | ||
| 213 | |||
| 214 | test: | ||
| 215 | suffix: 1 | ||
| 216 | args: -terse | ||
| 217 | |||
| 218 | TEST*/ | ||
| 219 |