Some Recent Tools and a BDDC Algorithm for 3D Problems in H(curl)

Clark R. Dohrmann, Olof B. Widlund

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We present some recent domain decomposition tools and a BDDC algorithm for 3D problems in the space H(curl;Ω). Of primary interest is a face decomposition lemma which allows us to obtain improved estimates for a BDDC algorithm under less restrictive assumptions than have appeared previously in the literature. Numerical results are also presented to confirm the theory and to provide additional insights.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XX
EditorsRandolph Bank, Michael Holst, Jinchao Xu, Olof Widlund
Pages15-25
Number of pages11
DOIs
StatePublished - 2013

Publication series

NameLecture Notes in Computational Science and Engineering
Volume91
ISSN (Print)1439-7358

ASJC Scopus subject areas

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

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    Dohrmann, C. R., & Widlund, O. B. (2013). Some Recent Tools and a BDDC Algorithm for 3D Problems in H(curl). In R. Bank, M. Holst, J. Xu, & O. Widlund (Eds.), Domain Decomposition Methods in Science and Engineering XX (pp. 15-25). (Lecture Notes in Computational Science and Engineering; Vol. 91). https://doi.org/10.1007/978-3-642-35275-1_2