Title
Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell's equations
Document Type
Article
Publication Date
3-30-2012
Abstract
We propose a new numerical approach for two-dimensional Maxwell's equations that is based on the Hodge decomposition for divergencefree vector fields. In this approach an approximate solution for Maxwell's equations can be obtained by solving standard second order scalar elliptic boundary value problems. This new approach is illustrated by a P finite element method. © 2011 American Mathematical Society. 1
Publication Source (Journal or Book title)
Mathematics of Computation
First Page
643
Last Page
659
Recommended Citation
Brenner, S., Cui, J., Nan, Z., & Sung, L. (2012). Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell's equations. Mathematics of Computation, 81 (278), 643-659. https://doi.org/10.1090/S0025-5718-2011-02540-8