Title

A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem

Document Type

Article

Publication Date

6-1-2008

Abstract

A numerical method for a two-dimensional curl-curl and grad-div problem is studied in this paper. It is based on a discretization using weakly continuous P vector fields and includes two consistency terms involving the jumps of the vector fields across element boundaries. Optimal convergence rates (up to an arbitrary positive ε) in both the energy norm and the L norm are established on graded meshes. The theoretical results are confirmed by numerical experiments. © 2008 Springer-Verlag. 1 2

Publication Source (Journal or Book title)

Numerische Mathematik

First Page

509

Last Page

533

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