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Volume 5, Issue 3
Low Order Crouzeix-Raviart Type Nonconforming Finite Element Methods for Approximating Maxwell's Equations

D. Shi & L. Pei

Int. J. Numer. Anal. Mod., 5 (2008), pp. 373-385.

Published online: 2008-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30, 65N15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-373, author = {D. Shi and L. Pei}, title = {Low Order Crouzeix-Raviart Type Nonconforming Finite Element Methods for Approximating Maxwell's Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/817.html} }
TY - JOUR T1 - Low Order Crouzeix-Raviart Type Nonconforming Finite Element Methods for Approximating Maxwell's Equations AU - D. Shi & L. Pei JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 373 EP - 385 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/817.html KW - Maxwell's equations, low order nonconforming finite elements, error estimates, anisotropic meshes. AB -

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.

D. Shi and L. Pei. (2008). Low Order Crouzeix-Raviart Type Nonconforming Finite Element Methods for Approximating Maxwell's Equations. International Journal of Numerical Analysis and Modeling. 5 (3). 373-385. doi:
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