##### Department of Mathematics,

University of California San Diego

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### Center for Computational Mathematics Seminar

## Adam Mihalik

#### UCSD

## Convergence and Optimality of an Adaptive Mixed Finite Element Method on Surfaces

##### Abstract:

Finite element exterior calculus (FEEC) is a framework that allows for results proved on general differential complexes to be applied to a large class of mixed finite element problems. In earlier work, using this framework, we introduced a convergence and optimality result for a class of adaptive mixed finite element problems posed on polygonal domains. In this talk we discuss the extension of these results to problems on Euclidean hypersurfaces. More specifically, we introduce a method and prove rates of convergence for problems posed on surfaces implicitly represented by level-sets of smooth functions.

### February 18, 2014

### 10:00 AM

### AP&M 2402

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