Robust preconditioner for H(curl) interface problems

Jinchao Xu, Yunrong Zhu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

In this paper, we construct an auxiliary space preconditioner for Maxwell's equations with interface, and generalize the HX preconditioner developed in [9] to the problem with strongly discontinuous coefficients. For the H(curl) interface problem, we show that the condition number of the HX preconditioned system is uniformly bounded with respect to the coefficients and meshsize.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XIX
Pages173-180
Number of pages8
DOIs
StatePublished - Dec 3 2010
Event19th International Conference on Domain Decomposition, DD19 - Zhanjiajie, China
Duration: Aug 17 2009Aug 22 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume78 LNCSE
ISSN (Print)1439-7358

Other

Other19th International Conference on Domain Decomposition, DD19
CountryChina
CityZhanjiajie
Period8/17/098/22/09

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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  • Cite this

    Xu, J., & Zhu, Y. (2010). Robust preconditioner for H(curl) interface problems. In Domain Decomposition Methods in Science and Engineering XIX (pp. 173-180). (Lecture Notes in Computational Science and Engineering; Vol. 78 LNCSE). https://doi.org/10.1007/978-3-642-11304-8_18