A new error analysis of a mixed finite element method for the quad-curl problem

Chao Wang, Zhengjia Sun and Jintao Cui

Applied Mathematics and Computation, 2019, vol. 349, issue C, 23-38

Abstract: In this paper, we study a new numerical approach for a quad-curl model problem which arises in the inverse electromagnetic scattering problems and magnetohydrodynamics (MHD). We first split the quad-curl problem with homogeneous boundary conditions into a system of second order equations, and then apply a mixed finite element method to solve the resulting system. The perturbed mixed finite element method is constructed by using edge elements. The well posedness of the numerical scheme is derived. The optimal error estimates in H(curl) and L2 norms for the primal and auxiliary variables are obtained, respectively. The theoretical results are verified by numerical experiments.

Keywords: Mixed finite element method; Quad-curl problem; Error analysis (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:23-38

DOI: 10.1016/j.amc.2018.12.027

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