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fill3(current(:,1),current(:,2),current(:,3),'y'); hold off legend('Element1(h)','Element2(h)','Element2(h/2)'); title('Laage der Elemente'); %% Integrale bei kleiner werdenden Elementen h = 2; for I = 1:50 h = h/2; coordinates=coo(h,diff); A0 = mex_build_AU(coordinates,elements,0,0); A2 = mex_build_AU(coordinates,elements,1,2); A1 = mex_build_AU(coordinates,elements,1,1); I dat(I,1:4) = [h A0(1,2) A2(1,2) A1(1,2)]; dat(dat<0)=0; end figure(2) loglog(dat(:,1),abs(dat(:,2)),dat(:,1),abs(dat(:,3)),dat(:,1),abs(dat(:,4))); legend('Analytisch','Quad Element','Element vertauschen','location','southeast'); xlabel('Elementgroesse (kürzeste Seite)'); ylabel('Integral'); title('Integral bei kleiner werdenden Element'); %% Netzverfeinerung ab einem Wert h = (1/2)^25; coordinates=coo(h,diff); A_loadMesh(coordinates,elements,neigh); datA=[]; for I = 1:5 datA(I,:) = A_stepIso(1,[0 1 3 2],1,0); I end figure(3) loglog(datA(2:end,1),datA(2:end,3),datA(2:end,1),datA(2:end,6),datA(2:end,1),datA(2:end,12),datA(2:end,1),datA(2:end,9)) legend('Analytisch','Element vertauschen','Quad Element','Quad Achse','location','northeast'); xlabel('Anzahl der Elemente'); ylabel('mu Schaetzer'); title('mu Schaetzer mit "schlechtem" Startnetz'); figure(4) loglog(datA(:,1),datA(:,4),datA(:,1),datA(:,7),datA(:,1),datA(:,13),datA(:,1),datA(:,10)) legend('Analytisch','Element vertauschen','Quad Element','Quad Achse','location','southeast'); xlabel('Anzahl der Elemente'); ylabel('EnergieNorm ^2 '); title('EnergieNorm ^2 mit "schlechtem" Startnetz'); datA \ No newline at end of file + coo = @(h,diff)[0 0 0;1 0 0; 1 1 0;0 1 0; 0 0 0 ; 0+h 0 0; 0+h h 0 ; 0 h 0]+[zeros(4,3);repmat(diff,4,1)]; elements=[1 2 3 4;5 6 7 8]; neigh = zeros(2,8); dat = []; diff = [2 0 0]; %% Laage Übersicht figure(1) h = 1; coordinates=coo(h,diff) current = coordinates(elements(1,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'g'); hold on current = coordinates(elements(2,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'b'); h = h/2; coordinates=coo(h,diff); current = coordinates(elements(2,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'y'); hold off legend('Element1(h)','Element2(h)','Element2(h/2)'); title('Laage der Elemente'); %% Integrale bei kleiner werdenden Elementen h = 2; for I = 1:50 h = h/2; coordinates=coo(h,diff); A0 = mex_build_AU(coordinates,elements,0,0); A2 = mex_build_AU(coordinates,elements,1,2); A1 = mex_build_AU(coordinates,elements,1,1); I dat(I,1:4) = [h A0(1,2) A2(1,2) A1(1,2)]; dat(dat<0)=0; end figure(2) loglog(dat(:,1),abs(dat(:,2)),dat(:,1),abs(dat(:,3)),dat(:,1),abs(dat(:,4))); legend('Analytisch','Quad Element','Element vertauschen','location','southeast'); xlabel('Elementgroesse (kürzeste Seite)'); ylabel('Integral'); title('Integral bei kleiner werdenden Element'); %% Netzverfeinerung ab einem Wert h = (1/2)^25; coordinates=coo(h,diff); A_loadMesh(coordinates,elements,neigh); datA=[]; for I = 1:5 datA(I,:) = A_stepIso(5,[0 1 3 2]); % datA(I,:) = A_stepAniso(6,[0 1 3 2],1,0); I end figure(3) loglog(datA(2:end,1),datA(2:end,3),datA(2:end,1),datA(2:end,6),datA(2:end,1),datA(2:end,12),datA(2:end,1),datA(2:end,9)) legend('Analytisch','Element vertauschen','Quad Element','Quad Achse','location','northeast'); xlabel('Anzahl der Elemente'); ylabel('mu Schaetzer'); title('mu Schaetzer mit "schlechtem" Startnetz'); figure(4) loglog(datA(:,1),datA(:,4),datA(:,1),datA(:,7),datA(:,1),datA(:,13),datA(:,1),datA(:,10)) legend('Analytisch','Element vertauschen','Quad Element','Quad Achse','location','southeast'); xlabel('Anzahl der Elemente'); ylabel('EnergieNorm ^2 '); title('EnergieNorm ^2 mit "schlechtem" Startnetz'); datA \ No newline at end of file -- 2.47.3