# 2D formulation for Electrostatic Problems

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(→2D formulation for Triangular Elements) |
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0 & \displaystyle \varepsilon_y | 0 & \displaystyle \varepsilon_y | ||

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

− | |||

\begin{bmatrix} | \begin{bmatrix} | ||

\displaystyle \frac{\partial N_1}{\partial x} & | \displaystyle \frac{\partial N_1}{\partial x} & |

## Revision as of 16:38, 12 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

After applying the numerical integration for triangular elements by using the natural coordinates, we obtain:

### Stiffness Matrix K^{(e)}