Title

A nonconforming penalty method for a two-dimensional curl-curl problem

Document Type

Article

Publication Date

4-1-2009

Abstract

A nonconforming finite element method for a two-dimensional curl-curl problem is studied in this paper. It uses weakly continuous P vector fields and penalizes the local divergence. Two consistency terms involving the jumps of the vector fields across element boundaries are also included to ensure the convergence of the scheme. Optimal convergence rates (up to an arbitrary positive ε) in both the energy norm and the L norm are established on graded meshes. This scheme can also be used in the computation of Maxwell eigenvalues without generating spurious eigenmodes. The theoretical results are confirmed by numerical experiments. © 2009 World Scientific Publishing Company. 1 2

Publication Source (Journal or Book title)

Mathematical Models and Methods in Applied Sciences

First Page

651

Last Page

668

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