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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