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An adaptive moving mesh approach for hyperbolic conservation laws on time‐dependent domains
Author(s) -
Schiessl Stefan,
Marheineke Nicole,
Arne Walter,
Wegener Raimund
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410459
Subject(s) - conservation law , discretization , extension (predicate logic) , partial differential equation , hyperbolic partial differential equation , mathematics , quality (philosophy) , computer science , mathematical optimization , mathematical analysis , physics , programming language , quantum mechanics
The general idea of moving mesh approaches is to improve the approximation quality and the numerical performance by redistributing a fixed number of discretization points. This is called r refinement. The classical approaches are applied to partial differential equations on fixed domains. An extension to time‐dependent (expanding) domains is presented. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)