Nonlocal Boundary Conditions for Higher–Order Parabolic Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2006 English Publisher:WileyJournal:PAMM, volume 6, pages 733-734 (issn: 1617-7061, eissn: 1617-7061,

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Authors: Matthias Ehrhardt; Andrea Zisowsky;

doi: 10.1002/pamm.200610347

Nonlocal Boundary Conditions for Higher–Order Parabolic Equations

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Abstract

AbstractThis work deals with the efficient numerical solution of the two–dimensional one–way Helmholtz equation posed on an unbounded domain. In this case one has to introduce artificial boundary conditions to confine the computational domain. Here we construct with the Z –transformation so–called discrete transparent boundary conditions for higher–order parabolic equations schemes. These methods are Padé “Parabolic” approximations of the one–way Helmholtz equation and frequently used in integrated optics and (underwater) acoustics. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Technical University of Berlin
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Technical University of Berlin
Germany

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