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Nonlocal Boundary Conditions for Higher-Order Parabolic Equations

Please always quote using this URN:urn:nbn:de:0296-matheon-3288
  • This 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 Pade ``Parabolic'' approximations of the one-way Helmholtz equation and frequently used in integrated optics and (underwater) acoustics.

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Metadaten
Author:Matthias Ehrhardt, Andrea Zisowsky
URN:urn:nbn:de:0296-matheon-3288
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2006/03/30
Release Date:2006/03/30
Tag:
Institute:Technische Universität Berlin
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J05 Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N06 Finite difference methods
Preprint Number:318
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