(pde toolbox) help specifying c coefficient of specifyCoefficients as a function from a matrix

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kira 2019-4-8

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https://ww2.mathworks.cn/matlabcentral/answers/455119-pde-toolbox-help-specifying-c-coefficient-of-specifycoefficients-as-a-function-from-a-matrix

评论： kira 2019-4-8

Hello,

I'm trying to solve the coefficient variable poisson equation in 2d rectangular domain with dirichlet boundary conditions. Everything works fine specifying c coefficient as a function handle, for instance:

C=@(location,state)abs(cos(location.y/2)+sin(location.x/2));
F=C;
specifyCoefficients(model,'m',0,...
                          'd',0,...
                          'c',C,...
                          'a',0,...
                          'f',F);

At the end, I interpolate the solution on a grid mesh:

results = solvepde(model);
Nx=51;
Ny=21;
xq = linspace(a,b,Nx);
yq = linspace(c,d,Ny);
[X,Y] = meshgrid(xq,yq);
Z = interpolateSolution(results,X,Y);
Z = reshape(Z,size(X));

Now, I only have C values at the nodes of this grid mesh. Is there a way to put this matrix into a function to use as an input for specifyCoefficients?

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Ravi Kumar 2019-4-8

Not sure, what you are asking for. Are you looking to specify c-coefficient as a marix instead of function? Or you want the value of c-coefficient at the grid points you are interpolating?

kira 2019-4-8