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
Recommended Citation
Brenner, S., Cui, J., Li, F., & Sung, L. (2008). A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem. Numerische Mathematik, 109 (4), 509-533. https://doi.org/10.1007/s00211-008-0149-7