##### Department of Mathematics,

University of California San Diego

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### Center for Computational Mathematics Seminar

## Chris Tiee

#### UCSD

## Finite Element Methods for Geometric Problems

##### Abstract:

The Finite Element Exterior Calculus (FEEC) has been useful for the numerical solution of elliptic PDEs that more properly accounts for the geometric and topological structures, leading to better numerical stability. Our principal goal is to examine how these methods can be extended to evolutionary problems on manifolds, primarily in the parabolic case. We do, however, describe the interesting issues that a hyperbolic generalization poses.

### November 4, 2014

### 10:00 AM

### AP&M 2402

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