Low Order Crouzeix-Raviart Type Nonconforming Finite Element Methods for Approximating Maxwell's Equations

Low Order Crouzeix-Raviart Type Nonconforming Finite Element Methods for Approximating Maxwell's Equations

Year:    2008

International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 373–385

Abstract

The aim of this paper is to study the convergence analysis of three low order Crouzeix-Raviart type nonconforming rectangular finite elements to Maxwell's equations, on a mixed finite element scheme and a finite element scheme, respectively. The error estimates are obtained for one of above elements with regular meshes and the other two under anisotropic meshes, which are as same as those in the previous literature for conforming elements under regular meshes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-IJNAM-817

International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 373–385

Published online:    2008-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Maxwell's equations low order nonconforming finite elements error estimates anisotropic meshes.