A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids

JOURNAL OF COMPUTATIONAL PHYSICS

卷:204

Article

Rieben, RN ; Rodrigue, GH ; White, DA

关键词: computational electromagnetics;    Maxwell's equations;    vector finite elements;    high order methods;    H(Curl) and H(Div) -conforming methods;    discrete differential forms;    spurious modes;    numerical dispersion;   

DOI  :  10.1016/j.jcp.2004.10.030

来源: Elsevier

【 摘 要 】

We present a mixed vector finite element method for solving the time dependent coupled Ampere and Faraday laws of Maxwell's equations on unstructured hexahedral grids that employs high order discretization in both space and time. The method is of arbitrary order accuracy in space and up to 4th order accurate in time, making it well suited for electrically large problems where grid anisotropy and numerical dispersion have plagued other methods. In addition, the method correctly models both the jump discontinuities and the divergence-free properties of the electric and magnetic fields, is charge and energy conserving, conditionally stable, and free of spurious modes. Several computational experiments are performed to demonstrate the accuracy, efficiency and benefits of the method. (c) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free