Numerical Methods For Problems In Infinite Domains
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Numerical Methods for Problems in Infinite Domains
This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.
IUTAM Symposium on Computational Methods for Unbounded Domains
Author: Thomas L. Geers
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-09
During 27-31 July 1997, thirty-seven researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics and mathematics participated in a Symposium on Computa tional Methods for Unbounded Domains. The symposium was sponsored by the International Union of Theoretical and Applied Mechanics and was held at the University of Colorado in the United States of America. The symposium was opened by Dr. Richard Byyny, Chancellor of the University's Boulder Campus, who concluded his remarks by reading a letter from Professor Bruno A. Boley, JUT AM Representative on the Scientific Committee. Thirty-three papers were presented. About two-thirds of these focused on the classical wave equation of acoustics; however, three papers dealt with hydrodynamic surface waves, two with electromagnetic waves, three with elastodynamic waves, and four with waves in aero dynamics. Approximately two-thirds of the papers addressed steady-state problems, with the rest treating problems in the time domain. Extended abstracts of the papers appear in this volume, arranged in alphabetical order according to the last name of the presenting author. A key unifying aspect of the symposium was the creation of four working groups that labored in parallel to formulate benchmark problems for evaluating computational boundaries. The working groups reviewed the papers presented each day, searching for benchmark candidates. Then they considered other possibilites and organized the ensemble into logical categories. At the end of the symposium, each group presented its benchmark candidates to the assembly of participants, which subsequently made a preliminary consolidation of the benchmarks.
Absorbing Boundaries and Layers, Domain Decomposition Methods
CD-ROM contains: Sections omitted from printing of text.