Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains

Authors

Susanne C. Brenner, Louisiana State University
Jiguang Sun, Michigan Technological University
Li yeng Sung, Louisiana State University

Document Type

Article

Publication Date

12-1-2017

Abstract

We develop and analyze P Lagrange finite element methods for a quad-curl problem on planar domains that is based on the Hodge decomposition of divergence-free vector fields. Numerical results that illustrate the performance of the finite element methods are also presented. k

Publication Source (Journal or Book title)

Journal of Scientific Computing

First Page

495

Last Page

513

Recommended Citation

Brenner, S., Sun, J., & Sung, L. (2017). Hodge Decomposition Methods for a Quad-Curl Problem on Planar Domains. Journal of Scientific Computing, 73 (2-3), 495-513. https://doi.org/10.1007/s10915-017-0449-0