changeset 616:818d52d4928f feature/grids

Add helper function for convergence runs on discretizations
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 11 Oct 2017 16:01:22 +0200
parents 68f9c16569fa
children 4ced7d47bd1f
files +noname/calculateErrors.m
diffstat 1 files changed, 40 insertions(+), 0 deletions(-) [+]
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/+noname/calculateErrors.m	Wed Oct 11 16:01:22 2017 +0200
@@ -0,0 +1,40 @@
+% [discr, trueSolution] =  schemeFactory(m)
+%     where trueSolution should be a timeSnapshot of the true solution a time T
+% T is the end time
+% m are grid size parameters.
+% N are number of timesteps to use for each gird size
+% timeOpt are options for the timeStepper
+function e = calculateErrors(schemeFactory, T, m, N, errorFun, timeOpt)
+    assertType(schemeFactory, 'function_handle');
+    assertNumberOfArguments(schemeFactory, 1);
+    assertScalar(T);
+    assert(length(m) == length(N), 'Vectors m and N must have the same length');
+    assertType(errorFun, 'function_handle');
+    assertNumberOfArguments(errorFun, 2);
+    default_arg('timeOpt');
+
+    e = [];
+    for i = 1:length(m)
+        done = timeTask('m = %3d ', m(i));
+
+        [discr, trueSolution] = schemeFactory(m(i));
+
+        timeOpt.k = T/N(i);
+        ts = discr.getTimestepper(timeOpt);
+        ts.stepTo(N(i), true);
+        approxSolution = discr.getTimeSnapshot(ts);
+
+        e(i) = errorFun(trueSolution, approxSolution);
+
+        fprintf('e = %.4e', e(i))
+        done()
+    end
+    fprintf('\n')
+end
+
+
+%% Example error function
+% u_true = grid.evalOn(dr.grid, @(x,y)trueSolution(T,x,y));
+% err = u_true-u_false;
+% e(i) = norm(err)/norm(u_true);
+% % e(i) = sqrt(err'*d.H*d.J*err/(u_true'*d.H*d.J*u_true));