Recent Developments in Domain Decomposition Methods

✍ Scribed by Ulrich Hetmaniuk, Charbel Farhat (auth.), Luca F. Pavarino, Andrea Toselli (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2002
• Tongue: English
• Leaves: 254
• Series: Lecture Notes in Computational Science and Engineering 23
• Edition: 1
• Category: Library

✦ Synopsis

The main goal of this book is to provide an overview of some of the most recent developments in the field of Domain Decomposition Methods. Domain decomposition relates to the construction of preconditioners for the large algebraic systems of equations which often arise in applications, by solving smaller instances of the same problem. It also relates to the construction of approximation methods built from different discretizations in different subdomains. The resulting methods are among the most successful parallel solvers for many large scale problems in computational science and engineering. The papers in this collection reflect some of the most active research areas in domain decomposition such as novel FETI, Neumann-Neumann, overlapping Schwarz and Mortar methods.

✦ Table of Contents

Front Matter....Pages I-XII
A Blended Fictitious/Real Domain Decomposition Method for Partially Axisymmetric Exterior Helmholtz Problems with Dirichlet Boundary Conditions....Pages 1-26
Dual-Primal FETI Methods with Face Constraints....Pages 27-40
A FETI - DP Method for a Mortar Discretization of Elliptic Problems....Pages 41-52
Balancing Neumann-Neumann Methods for Mixed Approximations of Linear Elasticity....Pages 53-76
Partition of Unity Coarse Spaces and Schwarz Methods with Harmonic Overlap....Pages 77-94
Convergence of Some Two-Level Overlapping Domain Decomposition Preconditioners with Smoothed Aggregation Coarse Spaces....Pages 95-117
Wavelet/FEM Coupling by the Mortar Method....Pages 119-132
Non-Conforming hp Finite Element Methods for Stokes Problems....Pages 133-145
A Defect Correction Method for Multi-Scale Problems in Computational Aeroacoustics....Pages 147-156
Domain Decomposition Methods for Time-Harmonic Maxwell Equations: Numerical Results....Pages 157-171
Iterated Frequency Filtering Preconditioners....Pages 173-188
A “Parareal” Time Discretization for Non-Linear PDE’s with Application to the Pricing of an American Put....Pages 189-202
The Influence of Quadrature Formulas in 2D and 3D Mortar Element Methods....Pages 203-221
Portable Efficient Solvers for Adaptive Finite Element Simulations of Elastostatics in Two and Three Dimensions....Pages 223-243
Back Matter....Pages 245-248

✦ Subjects

Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering