##### Department of Mathematics,

University of California San Diego

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### Center for Computational Mathematics Seminar

## Randolph Bank

#### UCSD

## $H^1$ Stability of the $L_2$ Projection

##### Abstract:

We study the stability in the $H^1$-seminorm of the $L_2$-projection onto finite element spaces in the case of nonuniform but shape regular meshes in two and three dimensions and prove, in particular, stability for conforming triangular elements up to order twelve and conforming tetrahedral elements up to order seven.

### April 16, 2013

### 11:00 AM

### AP&M 2402

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