Solving a Maxwell interface problem by a local L2projected C0finite element method

Huoyuan Duan, Ping Lin (Lead / Corresponding author), Roger C E Tan

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In general, the solution of a Maxwell interface problem would not belong to H1space and the standard C0finite element method fails. With the help of local L2projections applied to both the curl and div operators, we propose a new C0finite element method which can correctly converge to the non H1space solution. Stability and error estimates are given.

Original languageEnglish
Title of host publicationNumerical Mathematics and Advanced Applications ENUMATH 2013
Subtitle of host publicationProceedings of the ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013
EditorsAssyr Abdulle, Simone Deparis, Daniel Kressner, Fabio Nobile, Marco Picasso
Place of PublicationSwitzerland
PublisherSpringer International Publishing
Pages795-802
Number of pages8
ISBN (Electronic)978319107059
ISBN (Print)9783319107042
DOIs
Publication statusPublished - 2015

Publication series

NameLecture Notes in Computational Science and Engineering
PublisherSpringer
Volume103
ISSN (Print)1439-7358

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    Duan, H., Lin, P., & Tan, R. C. E. (2015). Solving a Maxwell interface problem by a local L2projected C0finite element method. In A. Abdulle, S. Deparis, D. Kressner, F. Nobile, & M. Picasso (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2013: Proceedings of the ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013 (pp. 795-802). (Lecture Notes in Computational Science and Engineering; Vol. 103). Springer International Publishing. https://doi.org/10.1007/978-3-319-10705-9_79