##### Department of Mathematics,

University of California San Diego

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### Center for Computational Mathematics Seminar

## John Moody

#### UCSD

## Finite Element Regularity on Combinatorial Manifolds without Boundary

##### Abstract:

The Finite Element Method in its most simple form considers piecewise polynomials on a triangulated space $\Omega$. While the general theory does not require structure on $\Omega$ beyond admitting a finite triangulation, it is quickly realized that in order to solve partial differential equations, $\Omega$ must be endowed with a differentiable structure. We introduce a new framework which has the potential to allow the Finite Element Method access to a broad class of differentiable manifolds of non-trivial topology.

### November 24, 2015

### 10:00 AM

### AP&M 2402

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