A High Order Mixed Vector Finite Element Method for Solving the Time Dependent Maxwell Equations on Unstructured Grids

Rieben, R N; Rodrigue, G H; White, D A

doi:10.1016/j.jcp.2004.10.030

Title: A High Order Mixed Vector Finite Element Method for Solving the Time Dependent Maxwell Equations on Unstructured Grids

Journal Article · Tue Mar 09 00:00:00 EST 2004 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2004.10.030· OSTI ID:15015131

Rieben, R N; Rodrigue, G H; White, D A

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 5th 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.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: US Department of Energy (US)

DOE Contract Number:: W-7405-ENG-48

OSTI ID:: 15015131

Report Number(s):: UCRL-JRNL-202960; JCTPAH; TRN: US200509%%40

Journal Information:: Journal of Computational Physics, Vol. 204, Issue 2; Other Information: PDF-FILE: 39 ; SIZE: 1.3 MBYTES; PBD: 9 Mar 2004; ISSN 0021-9991

Country of Publication:: United States

Language:: English

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Title: A High Order Mixed Vector Finite Element Method for Solving the Time Dependent Maxwell Equations on Unstructured Grids

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