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annotate +noname/calculateErrors.m @ 1037:2d7ba44340d0 feature/burgers1d

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Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 18 Jan 2019 09:02:02 +0100
parents 1201eb16557e
children
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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 % errorFun is a function_handle taking 2 or 3 arguments, errorFun(trueSolution, approxSolution), errorFun(trueSolution, approxSolution, discr)
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8 function e = calculateErrors(schemeFactory, T, m, N, errorFun, timeOpt)
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9 %TODO: Ability to choose paralell or not
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10 assertType(schemeFactory, 'function_handle');
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11 assertNumberOfArguments(schemeFactory, 1);
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12 assertScalar(T);
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13 assert(length(m) == length(N), 'Vectors m and N must have the same length');
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14 assertType(errorFun, 'function_handle');
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16 if ~ismember(nargin(errorFun), [2,3])
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17 error('sbplib:noname:calculateErrors:wrongNumberOfArguments', '"%s" must have 2 or 3, found %d', toString(errorFun), nargin(errorFun));
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18 end
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20 default_arg('timeOpt', struct());
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23 e = zeros(1,length(m));
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24 parfor i = 1:length(m)
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25 done = timeTask('m = %3d ', m(i));
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26
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27 [discr, trueSolution] = schemeFactory(m(i));
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28
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29 timeOptTemp = timeOpt;
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30 timeOptTemp.k = T/N(i);
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31 ts = discr.getTimestepper(timeOptTemp);
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32 ts.stepTo(N(i), true);
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33 approxSolution = discr.getTimeSnapshot(ts);
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34
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35 switch nargin(errorFun)
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36 case 2
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37 e(i) = errorFun(trueSolution, approxSolution);
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38 case 3
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39 e(i) = errorFun(trueSolution, approxSolution, discr);
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40 end
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42 fprintf('e = %.4e', e(i))
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43 done()
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44 end
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45 fprintf('\n')
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46 end
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49 %% Example error function
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50 % u_true = grid.evalOn(dr.grid, @(x,y)trueSolution(T,x,y));
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51 % err = u_true-u_false;
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52 % e(i) = norm(err)/norm(u_true);
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53 % % e(i) = sqrt(err'*d.H*d.J*err/(u_true'*d.H*d.J*u_true));