xref: /petsc/src/ts/utils/tsconvest.c (revision f2cacb80554376ba60c1c183c00cd40ea8a0a80d)
1 #include <petscconvest.h>            /*I "petscconvest.h" I*/
2 #include <petscts.h>
3 #include <petscdm.h>
4 
5 #include <petsc/private/petscconvestimpl.h>
6 
7 static PetscErrorCode PetscConvEstSetTS_Private(PetscConvEst ce, PetscObject solver)
8 {
9   PetscClassId   id;
10   PetscErrorCode ierr;
11 
12   PetscFunctionBegin;
13   ierr = PetscObjectGetClassId(ce->solver, &id);CHKERRQ(ierr);
14   if (id != TS_CLASSID) SETERRQ(PetscObjectComm((PetscObject) ce), PETSC_ERR_ARG_WRONG, "Solver was not a TS");
15   ierr = TSGetDM((TS) ce->solver, &ce->idm);CHKERRQ(ierr);
16   PetscFunctionReturn(0);
17 }
18 
19 static PetscErrorCode PetscConvEstInitGuessTS_Private(PetscConvEst ce, PetscInt r, DM dm, Vec u)
20 {
21   PetscErrorCode ierr;
22 
23   PetscFunctionBegin;
24   ierr = TSComputeInitialCondition((TS) ce->solver, u);CHKERRQ(ierr);
25   PetscFunctionReturn(0);
26 }
27 
28 static PetscErrorCode PetscConvEstComputeErrorTS_Private(PetscConvEst ce, PetscInt r, DM dm, Vec u, PetscReal errors[])
29 {
30   TS               ts = (TS) ce->solver;
31   PetscErrorCode (*exactError)(TS, Vec, Vec);
32   PetscErrorCode   ierr;
33 
34   PetscFunctionBegin;
35   ierr = TSGetComputeExactError(ts, &exactError);CHKERRQ(ierr);
36   if (exactError) {
37     Vec      e;
38     PetscInt f;
39 
40     ierr = VecDuplicate(u, &e);CHKERRQ(ierr);
41     ierr = TSComputeExactError(ts, u, e);CHKERRQ(ierr);
42     ierr = VecNorm(e, NORM_2, errors);CHKERRQ(ierr);
43     for (f = 1; f < ce->Nf; ++f) errors[f] = errors[0];
44     ierr = VecDestroy(&e);CHKERRQ(ierr);
45   } else {
46     PetscReal t;
47 
48     ierr = TSGetSolveTime(ts, &t);CHKERRQ(ierr);
49     ierr = DMComputeL2FieldDiff(dm, t, ce->exactSol, ce->ctxs, u, errors);CHKERRQ(ierr);
50   }
51   PetscFunctionReturn(0);
52 }
53 
54 static PetscErrorCode PetscConvEstGetConvRateTS_Private(PetscConvEst ce, PetscReal alpha[])
55 {
56   TS             ts = (TS) ce->solver;
57   Vec            u;
58   PetscReal     *dt, *x, *y, slope, intercept;
59   PetscInt       Ns, oNs, Nf = ce->Nf, f, Nr = ce->Nr, r;
60   PetscErrorCode ierr;
61 
62   PetscFunctionBegin;
63   ierr = TSGetSolution(ts, &u);CHKERRQ(ierr);
64   ierr = PetscMalloc1(Nr+1, &dt);CHKERRQ(ierr);
65   ierr = TSGetTimeStep(ts, &dt[0]);CHKERRQ(ierr);
66   ierr = TSGetMaxSteps(ts, &oNs);CHKERRQ(ierr);
67   Ns   = oNs;
68   for (r = 0; r <= Nr; ++r) {
69     if (r > 0) {
70       dt[r] = dt[r-1]/ce->r;
71       Ns    = PetscCeilReal(Ns*ce->r);
72     }
73     ierr = TSSetTime(ts, 0.0);CHKERRQ(ierr);
74     ierr = TSSetStepNumber(ts, 0);CHKERRQ(ierr);
75     ierr = TSSetTimeStep(ts, dt[r]);CHKERRQ(ierr);
76     ierr = TSSetMaxSteps(ts, Ns);CHKERRQ(ierr);
77     ierr = PetscConvEstComputeInitialGuess(ce, r, NULL, u);CHKERRQ(ierr);
78     ierr = TSSolve(ts, u);CHKERRQ(ierr);
79     ierr = PetscLogEventBegin(ce->event, ce, 0, 0, 0);CHKERRQ(ierr);
80     ierr = PetscConvEstComputeError(ce, r, ce->idm, u, &ce->errors[r*Nf]);CHKERRQ(ierr);
81     ierr = PetscLogEventEnd(ce->event, ce, 0, 0, 0);CHKERRQ(ierr);
82     for (f = 0; f < ce->Nf; ++f) {
83       ierr = PetscLogEventSetDof(ce->event, f, 1.0/dt[r]);CHKERRQ(ierr);
84       ierr = PetscLogEventSetError(ce->event, f, ce->errors[r*Nf+f]);CHKERRQ(ierr);
85     }
86     /* Monitor */
87     ierr = PetscConvEstMonitorDefault(ce, r);CHKERRQ(ierr);
88   }
89   /* Fit convergence rate */
90   if (Nr) {
91     ierr = PetscMalloc2(Nr+1, &x, Nr+1, &y);CHKERRQ(ierr);
92     for (f = 0; f < Nf; ++f) {
93       for (r = 0; r <= Nr; ++r) {
94         x[r] = PetscLog10Real(dt[r]);
95         y[r] = PetscLog10Real(ce->errors[r*Nf+f]);
96       }
97       ierr = PetscLinearRegression(Nr+1, x, y, &slope, &intercept);CHKERRQ(ierr);
98       /* Since lg err = s lg dt + b */
99       alpha[f] = slope;
100     }
101     ierr = PetscFree2(x, y);CHKERRQ(ierr);
102   }
103   /* Reset solver */
104   ierr = TSSetConvergedReason(ts, TS_CONVERGED_ITERATING);CHKERRQ(ierr);
105   ierr = TSSetTime(ts, 0.0);CHKERRQ(ierr);
106   ierr = TSSetStepNumber(ts, 0);CHKERRQ(ierr);
107   ierr = TSSetTimeStep(ts, dt[0]);CHKERRQ(ierr);
108   ierr = TSSetMaxSteps(ts, oNs);CHKERRQ(ierr);
109   ierr = PetscConvEstComputeInitialGuess(ce, 0, NULL, u);CHKERRQ(ierr);
110   ierr = PetscFree(dt);CHKERRQ(ierr);
111   PetscFunctionReturn(0);
112 }
113 
114 PetscErrorCode PetscConvEstUseTS(PetscConvEst ce)
115 {
116   PetscFunctionBegin;
117   PetscValidHeaderSpecific(ce, PETSC_OBJECT_CLASSID, 1);
118   ce->ops->setsolver    = PetscConvEstSetTS_Private;
119   ce->ops->initguess    = PetscConvEstInitGuessTS_Private;
120   ce->ops->computeerror = PetscConvEstComputeErrorTS_Private;
121   ce->ops->getconvrate  = PetscConvEstGetConvRateTS_Private;
122   PetscFunctionReturn(0);
123 }
124