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

Clark R. Dohrmann; Olof B. Widlund

doi:10.1007/978-3-642-35275-1_2

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

Clark R. Dohrmann, Olof B. Widlund

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XX
Editors	Randolph Bank, Michael Holst, Jinchao Xu, Olof Widlund
Pages	15-25
Number of pages	11
DOIs	https://doi.org/10.1007/978-3-642-35275-1_2
State	Published - 2013

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	91
ISSN (Print)	1439-7358

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-642-35275-1_2

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Some Recent Tools and a BDDC Algorithm for 3D Problems in H(curl). / Dohrmann, Clark R.; Widlund, Olof B.
Domain Decomposition Methods in Science and Engineering XX. ed. / Randolph Bank; Michael Holst; Jinchao Xu; Olof Widlund. 2013. p. 15-25 (Lecture Notes in Computational Science and Engineering; Vol. 91).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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

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