Stability Estimates for Hybrid Coupled Domain Decomposition Methods

✍ Scribed by Olaf Steinbach (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2003
Tongue: English
Leaves: 122
Series: Lecture Notes in Mathematics 1809
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods.

✦ Table of Contents

Introduction....Pages 1-5
1. Preliminaries....Pages 7-24
2. Stability Results....Pages 25-51
3. The Dirichlet-Neumann Map for Elliptic Boundary Value Problems....Pages 53-70
4. Mixed Discretization Schemes....Pages 71-83
5. Hybrid Coupled Domain Decomposition Methods....Pages 85-115
References....Pages 117-120

✦ Subjects

Numerical Analysis; Partial Differential Equations

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