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.
Author: | Matthias Ehrhardt, Andrea Zisowsky |
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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 |
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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 |