# 2D formulation for Electrostatic Problems

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(Difference between revisions)

Line 83: | Line 83: | ||

\, \\ | \, \\ | ||

\frac{\partial N_i}{\partial y} | \frac{\partial N_i}{\partial y} | ||

+ | \end{bmatrix} | ||

+ | \qquad | ||

+ | \mathbf{\varepsilon}= | ||

+ | \begin{bmatrix} | ||

+ | \varepsilon_x & 0 \\ | ||

+ | \, \\ | ||

+ | 0 & \varepsilon_y | ||

\end{bmatrix} | \end{bmatrix} | ||

</math> | </math> |

## Revision as of 19:24, 11 November 2009

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