##### Department of Mathematics,

University of California San Diego

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### Center for Computational Mathematics Seminar

## Andrew Gillette

#### UCSD

## Generalized Barycentric Coordinates for Polygonal Finite Elements

##### Abstract:

\indent Generalized barycentric coordinate functions allow for novel, flexible finite element methods accommodating polygonal element geometries. The Sobolev-norm error estimates associated to such methods, however, require varying levels of geometric criteria on the polygons, depending on the definition of the coordinate functions. In this talk, I will discuss these criteria for a variety of coordinate definitions and discuss the practical tradeoffs between enforcing geometric constraints and computing finite element basis functions over polygons.

### October 18, 2011

### 11:00 AM

### AP&M 2402

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