Recent Developments in Domain Decomposition Methods
Published on 12. June 2002
Book
Paperback/Softback
XII, 243 pages
978-3-540-43413-9 (ISBN)
Description
This volume collects some of the papers presented at the Workshop on Do- main Decompositionheld at ETH, Zurich,on June 7-8th 2001. The Workshop was organized by Luca F. Pavarino (University of Milan), Christoph Schwab (ETH Zurich), Andrea Toselli (ETH Zurich), and OlofB. Widlund (Courant Institute of Mathematical Sciences). Our sponsors were the University of Milan, Department of Mathematics (MURST projects: "Calcolo Scientifico: modelli e metodi numerici innovativi" and "Simmetrie, forme geometriche, evoluzione e memoria nelle equazioni alle derivate parziali"), the Seminar for Applied Mathematics, ETH Zurich, and the Program on Computational Science and Engineering at ETH Zurich. The main goal ofthis meeting wasto provide a forum for the exchange of ideas on the most recent developmentsin the fieldof Domain Decomposition Methods. We broadly understand Domain Decomposition as relating 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.
In our planning, wealso wished to include studies of methods built from different discretizations in differentsubdomains such as in multi-physics models, mortar finite elements, wavelets, etc. Domain Decomposition meth- ods are now fairly well understood for elliptic scalar and vector problems and are employed for the solution of large scale problems in computational sciencesand engineering. However they remain less wellunderstood for more general problems, such as scattering problems, mixed problems, wavepropa- gation, and evolution problems.
In our planning, wealso wished to include studies of methods built from different discretizations in differentsubdomains such as in multi-physics models, mortar finite elements, wavelets, etc. Domain Decomposition meth- ods are now fairly well understood for elliptic scalar and vector problems and are employed for the solution of large scale problems in computational sciencesand engineering. However they remain less wellunderstood for more general problems, such as scattering problems, mixed problems, wavepropa- gation, and evolution problems.
More details
Series
Edition
Softcover reprint of the original 1st ed. 2002
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
11 s/w Abbildungen, 10 farbige Abbildungen
XII, 243 p. 21 illus., 10 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
406 gr
ISBN-13
978-3-540-43413-9 (9783540434139)
DOI
10.1007/978-3-642-56118-4
Schweitzer Classification
Content
A Blended Fictitious/Real Domain Decomposition Method for Partially Axisymmetric Exterior Helmholtz Problems with Dirichlet Boundary.- Dual-Primal FETI Methods with Face Constraints.- A FETI - DP Method for a Mortar Discretization of Elliptic Problems.- Balancing Neumann-Neumann Methods for Mixed Approximations of Linear Elasticity.- Partition of Unity Coarse Spaces and Schwarz Methods with Harmonic Overlap.- Convergence of Some Two-Level Overlapping Domain Decomposition Preconditioners with Smoothed Aggregation Coarse Spaces.- Wavelet/FEM Coupling by the Mortar Method.- Non-Conforming hp Finite Element Methods for Stokes Problems.- A Defect Correction Method for Multi-Scale Problems in Computational Aeroacoustics.- Domain Decomposition Methods for Time-Harmonic Maxwell Equations: Numerical Results.- Iterated Frequency Filtering Preconditioners.- A "Parareal" Time Discretization for Non-Linear PDE's with Application to the Pricing of an American Put.- The Influence of Quadrature Formulas in 2D and 3D Mortar Element Methods.- Portable Efficient Solvers for Adaptive Finite Element Simulations of Elastostatics in Two and Three Dimensions.