Recent content by MatPhy

Well numerical solution gave different result. Solution for U(x,y) at 0 \leq y \leq 1 \quad \text{and} \quad x=0 is

Pasmith, thank you for the answer. But in my opinion we should also consider this relation: {\partial u_1(x,y) \over \partial x} = {\partial u_2(y) \over \partial x} at x=0 \quad \text{,} where u_1(x,y) = (x+1)y on subdomain -1 \leq x < 0, 0 \leq y \leq 1 + x \quad \text{and} u_2(y) = y on...

Pasmith, thank you for the answer. But maybe it is possible to solve this in this way:

Hello everybody! I know how to solve Laplace equation on a square or a rectangle. Is there any easy way to find an analytical solution of Laplace equation on a trapezoid (see picture). Thank you.