Seminar in Numerical Analysis: Stefan Sauter (University of Zürich)

Intrinsic Finite Element Methods

In this talk we consider an intrinsic approach for the direct computation of the fluxes for problems in potential theory. We present a general method for the derivation of intrinsic conforming and non-conforming finite element spaces and appropriate lifting operators for the evaluation of the right-hand side from abstract theoretical principles related to the second Strang Lemma. This intrinsic finite element method is analyzed and convergence with optimal order is proved.

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