# How to evaluate vector function defined in 2D with meshgrid?

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Yonghyeon Jeon on 19 Sep 2021
Answered: darova on 19 Sep 2021
Hi, guys.
I would like to evaluate and get the function values of vector function defined in 2D.
For example, we assume that we have the function defined in 2D and discretized domain.
These are coded in matlab as follows:
fun = @(x, y) [sin(x) .* sin(x) ; cos(x) .* cos(y)];
xgrid = linspace(0, pi, 3);
ygrid = linspace(0, pi, 4);
[xmesh, ymesh] = meshgrid(xgrid, ygrid);
So, the result that I want is the 3-dimensional matrix such as
result(:,:,1) = [0, 1, 0 ; 0, 1, 0 ; 0, 1, 0 ; 0, 1, 0];
result(:,:,2) = [1, 0, -1 ; .5, 0, -.5 ; -.5, 0, .5 ; -1, 0, 1];
I tried
fun(xmesh, ymesh)
but it didn't give me the wanted result.
Plese give me a novel advises.

darova on 19 Sep 2021
Try cat
fun = @(x, y) cat(3, sin(x).*sin(x), cos(x).*cos(y));

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