Interpolation of the results from the PDE toolbox and the spatial differentiation of the solution

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I am trying to solve a PDE within a rectangular region with the Matlab PDE toolbox. I am facing two problems:
(1) As shown in the example, I can solve the PDE with the commands:
R = solvepde(model);
u = R.NodalSolution;
However, I want the solution to be evaluated at the regular grid points, not at the nodes. How can I get the value of u at specific (x,y) points?
(2) I would also like to evaluate the spatial differentiation of the solution u, that is, I want to calculate du/dx and du/dy at the regular grid points. I can do it numerically, but I just want to do all the things directly from Matlab. Is there any command that can help me?
Thank you very much.

Akzeptierte Antwort

Ravi Kumar
Ravi Kumar am 13 Jul. 2020
You can do this using interpolateSolution and evaluateGradients.

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