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%                       Matlab-Tutorium: PDE Toolbox                      %
%                                                                         %
%                                Aufgabe 1                                %
%                                                                         %
%                            Michael Pokojovy                             %
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[pde_fig,ax] = pdeinit;
pdetool('appl_cb', 1);
pdetool('snapon', 'on');
set(ax, 'DataAspectRatio', [1 1 1]);
set(ax, 'PlotBoxAspectRatio', [1.5 1 1]);
set(ax, 'XLim', [0 2]);
set(ax, 'YLim', [0 3]);
set(ax, 'XTickMode', 'auto');
set(ax, 'YTickMode', 'auto');
pdetool('gridon', 'on');

% Geometrie des Gebietes Omega:
pdepoly([0 0 2 2 1 1 2 2], [0 3 3 2 2 1 1 0], 'Omega');

% Randbedingungen:
pdetool('changemode', 0);
rb = '1 - x.*x + 2*y.*y';
for k = 1:8
    pdesetbd(k, 'dir', 1, '1', rb)
end

% Erstellung der Triangulierung:
refine_count = 1;
setuprop(pde_fig, 'Hgrad', 1.6);
setuprop(pde_fig, 'refinemethod', 'regular');
pdetool('initmesh')
for k = 1:refine_count
    pdetool('refine')
end

% Koeffizienten der PDG:
funktion = '1 + 5*cos(x).*exp(y)';
pdeseteq(1, '1.0', '0.0', funktion, '1.0', '0:10', '0.0', '0.0', '[0 100]')
setuprop(pde_fig,'currparam', ['1.0'; '0.0'; '0  '; '1.0'])

% Parameter fuer "solve":
setuprop(pde_fig,'solveparam',...
str2mat('0', '1176', '10', 'pdeadworst', '0.5', 'longest', '0', '1E-4', '', 'fixed', 'Inf'))

% Darstellungsparameter:
setuprop(pde_fig,'plotflags', [1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 0 1]);
setuprop(pde_fig,'colstring','');
setuprop(pde_fig,'arrowstring','');
setuprop(pde_fig,'deformstring','');
setuprop(pde_fig,'heightstring','');

% Loesung der PDG:
pdetool('solve')
title('\it u(x, y)')