##### Department of Mathematics,

University of California San Diego

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### Math 278 - Computational and Applied Mathematics Seminar

## Long Chen

#### UCSD

## Convergence and Optimality of Adaptive Mixed Finite Element Methods

##### Abstract:

In this talk we shall analyze the convergence and optimality of adaptive mixed finite element methods for second order elliptic partial differential equations. The main difficulty for the mixed finite element method is the lack of minimization principle and thus the failure of orthogonality. A quasi-orthogonality property is proved using the fact that the error is orthogonal to the divergence free subspace, while the part of the error containing divergence can be bounded by data oscillation.

Host: Michael Holst

### May 23, 2006

### 11:00 AM

### AP&M 7321

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