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Space-Time Domain Decomposition Methods for Scalar Conservation Law

✍ Scribed by Agouzal, A. ;Debit, N.

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 129 KB
Volume: 13
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199710)13:10<777::aid-cnm94>3.0.co;2-d

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✦ Synopsis

A new space±time domain decomposition method (STDDM) is presented. The space±time domain is partitioned in subdomains, and dierent discretizations are used in each space±time subdomain. Timeintegration in space±time variational methods is derived in a dierent manner from what has been presented so far±it is contained in the time-discontinuous shape functions. This method provides the same rate of convergence as the classical methods, and numerical performance is illustrated on typical one-dimensional linear and non-linear problems, in the particular choice of spectral element type discretization on each subdomain.

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