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H^1 Stability of the L_2 Projection

Randolph Bank
UCSD

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.

Tuesday, April 16, 2013
11:00AM AP&M 2402