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annotate +noname/calculateErrors.m @ 616:818d52d4928f feature/grids

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Add helper function for convergence runs on discretizations
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 11 Oct 2017 16:01:22 +0200
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children b59345f905f0
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616
818d52d4928f Add helper function for convergence runs on discretizations
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1 % [discr, trueSolution] = schemeFactory(m)
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2 % where trueSolution should be a timeSnapshot of the true solution a time T
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3 % T is the end time
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4 % m are grid size parameters.
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5 % N are number of timesteps to use for each gird size
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6 % timeOpt are options for the timeStepper
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7 function e = calculateErrors(schemeFactory, T, m, N, errorFun, timeOpt)
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8 assertType(schemeFactory, 'function_handle');
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9 assertNumberOfArguments(schemeFactory, 1);
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10 assertScalar(T);
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11 assert(length(m) == length(N), 'Vectors m and N must have the same length');
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12 assertType(errorFun, 'function_handle');
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13 assertNumberOfArguments(errorFun, 2);
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14 default_arg('timeOpt');
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15
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16 e = [];
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17 for i = 1:length(m)
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18 done = timeTask('m = %3d ', m(i));
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19
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20 [discr, trueSolution] = schemeFactory(m(i));
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21
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22 timeOpt.k = T/N(i);
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23 ts = discr.getTimestepper(timeOpt);
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24 ts.stepTo(N(i), true);
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25 approxSolution = discr.getTimeSnapshot(ts);
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26
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27 e(i) = errorFun(trueSolution, approxSolution);
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28
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29 fprintf('e = %.4e', e(i))
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30 done()
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31 end
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32 fprintf('\n')
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33 end
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34
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35
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36 %% Example error function
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37 % u_true = grid.evalOn(dr.grid, @(x,y)trueSolution(T,x,y));
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38 % err = u_true-u_false;
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39 % e(i) = norm(err)/norm(u_true);
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40 % % e(i) = sqrt(err'*d.H*d.J*err/(u_true'*d.H*d.J*u_true));