Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 17)
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About this book
Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.
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Table of contents (2 chapters)
Authors and Affiliations
Bibliographic Information
Book Title: Discretization Methods and Iterative Solvers Based on Domain Decomposition
Authors: Barbara I. Wohlmuth
Series Title: Lecture Notes in Computational Science and Engineering
DOI: https://doi.org/10.1007/978-3-642-56767-4
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2001
Softcover ISBN: 978-3-540-41083-6Published: 27 February 2001
eBook ISBN: 978-3-642-56767-4Published: 06 December 2012
Series ISSN: 1439-7358
Series E-ISSN: 2197-7100
Edition Number: 1
Number of Pages: X, 199
Number of Illustrations: 5 b/w illustrations
Topics: Numerical Analysis, Analysis, Computational Science and Engineering, Math Applications in Computer Science, Computational Intelligence