2D formulation for Electrostatic Problems
From KratosWiki
The 2D Electrostatic Poisson's equation given by the governing PDE and its boundary conditions:
can be written as (see the General formulation for Electrostatic Problems):
with (n is the number of nodes of the element):
2D formulation for Triangular Elements
After applying the numerical integration for triangular elements by using the natural coordinates, we obtain:
- Failed to parse (PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): B(\alpha,\beta)=\mathbf{J^{(e)}} B(x,y) \qquad B(x,y)= \mathbf{J^{(e)}^{-1}} B(\alpha,\beta)
Stiffness Matrix K(e)