An interior penalty method for a two dimensional curl-curl and grad-div problem

Authors

S. C. Brenner, Louisiana State University
J. Cui, Louisiana State University
L. Y. Sung, Louisiana State University

Document Type

Conference Proceeding

Publication Date

12-1-2008

Abstract

We study an interior penalty method for a two dimensional curl-curl and grad-div problem that appears in electromagnetics and in fluid-structure interactions. The method uses discontinuous P vector fields on graded meshes and satisfies optimal convergence rates (up to an arbitrarily small parameter) in both the energy norm and the L2 norm. These theoretical results are corroborated by results of numerical experiments. © Austral. Mathematical Soc. 2009. 1

Publication Source (Journal or Book title)

ANZIAM Journal

Recommended Citation

Brenner, S., Cui, J., & Sung, L. (2008). An interior penalty method for a two dimensional curl-curl and grad-div problem. ANZIAM Journal, 50 (SUPPL.) Retrieved from https://repository.lsu.edu/mathematics_pubs/166