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Numerical Mathematics and Advanced Applications - ENUMATH 2013 pp 795–802Cite as

Solving a Maxwell Interface Problem by a Local L 2 Projected C 0Finite Element Method

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 103))

Abstract

In general, the solution of a Maxwell interface problem would not belong to H 1 space and the standard C 0 finite element method fails. With the help of local L 2 projections applied to both the curl and div operators, we propose a new C 0 finite element method which can correctly converge to the non H 1 space solution. Stability and error estimates are given.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Collaborative Innovation Centre of Mathematics, Wuhan University, 430072, Wuhan, China

    Huoyuan Duan

  2. Division of Mathematics, University of Dundee, DD1 4HN, Dundee, UK

    Ping Lin

  3. Department of Mathematics, National University of Singapore, 117543, Singapore, Singapore

    Roger C. E. Tan

Authors
  1. Huoyuan Duan
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  2. Ping Lin
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  3. Roger C. E. Tan
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Corresponding author

Correspondence to Ping Lin .

Editor information

Editors and Affiliations

  1. MATHICSE-ANMC, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Assyr Abdulle

  2. SB MATHICSE CMCS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Simone Deparis

  3. SB MATHICSE ANCHP, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Daniel Kressner

  4. SB MATHICSE CSQI, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Fabio Nobile

  5. SB MATHICSE GR-PI, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Marco Picasso

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© 2015 Springer International Publishing Switzerland

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Duan, H., Lin, P., Tan, R.C.E. (2015). Solving a Maxwell Interface Problem by a Local L 2 Projected C 0Finite Element Method. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_79

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