Neuerscheinungen 2010Stand: 2020-01-07 |
Schnellsuche
ISBN/Stichwort/Autor
|
Herderstraße 10 10625 Berlin Tel.: 030 315 714 16 Fax 030 315 714 14 info@buchspektrum.de |
Manuela de Castro
Theoretical Aspects of Absorbing Boundary Conditions
An Analysis of the Hagstrom-Warburton formulation
2010. 68 S.
Verlag/Jahr: VDM VERLAG DR. MÜLLER 2010
ISBN: 3-639-23772-2 (3639237722)
Neue ISBN: 978-3-639-23772-6 (9783639237726)
Preis und Lieferzeit: Bitte klicken
We study theoretical aspects of the Hagstrom-Warburton (H-W) ABC for time domain simulations of wave propagation on unbounded spatial domains. Here we investigate the H-W ABC applied to an artificial half-plane boundary, considering the basic models in wave propagation: the wave equation and first-order systems. The Hagstrom-Warburton formulation is an improved, equivalent version of the well known Higdon formulation. For the wave equation, much of the theory on the Higdon´s BC is well known, and here we collect results concerning well-posedness and convergence of such BCs. A main issue is how to minimize the error through optimal parameter selection. We present some theoretical results as well as computational tests addressing this problem. Concerning first-order systems, we present a general outline of the theory concerning well-posedness, convergence and parameter selection. When considering Maxwell´s equations, we were able to demonstrate strong well-posedness, convergence and some suggestive results on parameter selection.
Manuela L. de Castro joined Universidade Federal do Rio Grande do Sul (Brazil) in 2005 as a Professor of Analysis, shortly after receiving her Doctor degree in Mathematics from the University of New Mexico. Her current research interests include Numerical Analysis, Differential Equations and Ecological Modelling.