# 2D formulation for Electrostatic Problems

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− | \mathbf{B} | + | \mathbf{B} |

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\frac{1}{2 A^{(e)}} | \frac{1}{2 A^{(e)}} |

## Revision as of 18:15, 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)}