Order Reduced Methods for Quad-Curl Equations with Navier Type Boundary Conditions

Authors

  • Weifeng Zhang Department of Engineering Mechanics and Department of Applied Mathematics, Kunming University of Science and Technology, Kunming 650500, China
  • Shuo Zhang LSEC, ICMSEC, NCMIS, Academy of Mathematics and System Sciences Chinese Academy of Sciences, Beijing 100190, China

DOI:

https://doi.org/10.4208/jcm.1901-m2018-0150

Keywords:

Quad-curl equation, Order reduced scheme, Regularity analysis, Finite element method.

Abstract

Quad-curl equations with Navier type boundary conditions are studied in this paper. Stable order reduced formulations equivalent to the model problems are presented, and finite element discretizations are designed. Optimal convergence rates are proved.

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Published

2020-05-19

Issue

Vol. 38 No. 4 (2020)

Section

Articles