English

A hybridizable discontinuous Galerkin method for the quad-curl problem

Numerical Analysis 2019-02-26 v1

Abstract

The quad-curl problem arises in magnetohydrodynamics, inverse electromagnetic scattering and transform eigenvalue problems. In this paper we investigate a hybridizable discontinuous Galerkin method to solve the quad-curl problem based on a mixed formulation. The divergence-free condition is enforced by introducing a Lagrange multiplier into the system. The analysis is performed for the model problem with low regularity, which is posed on a Lipschitz polyhedron domain.

Keywords

Cite

@article{arxiv.1902.09349,
  title  = {A hybridizable discontinuous Galerkin method for the quad-curl problem},
  author = {Gang Chen and Jintao Cui and Liwei Xu},
  journal= {arXiv preprint arXiv:1902.09349},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1805.09291

R2 v1 2026-06-23T07:50:09.717Z