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Remarks on the Local Behavior of the Finite Element Method

Hieu Nguyen
Mathematics, UCSD


Our main goal is to study the behavior of the errorin finite element approximations of partial differentialequations. The error typically has two components -- localerror and global (pollution) error. We also will discuss thevery interesting phenomena of superconvergence, and in particular,how to determine superconvergence points, and what advantages can bederived from them.

Tuesday, May 1, 2007
11:00AM AP&M 2402