Numerical Conformal Mapping: Domain Decomposition And The Mapping Of Quadrilaterals, Papamichael Nicolas & Stylianopoulos Nikos

Автор: Tarek Mathew
Название: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
ISBN: 3540772057 ISBN-13(EAN): 9783540772057
Издательство: Springer
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Описание: A matrix oriented introduction to domain decomposition methodology. It discusses topics including hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self adjoint problems, parabolic equations and saddle point applications.

Автор: Korneev Vadim Glebiovich Et Al
Название: Dirichlet-Dirichlet Domain Decomposition Methods For Elliptic Problems: H And Hp Finite Element Discretizations
ISBN: 9814578452 ISBN-13(EAN): 9789814578455
Издательство: World Scientific Publishing
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Описание:

Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods are well-established and belong to a fast developing area. In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical DD algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.

The hp finite element discretizations, in particular, by spectral elements of elliptic equations are given significant attention in current research and applications. This volume is the first to feature all components of Dirichlet-Dirichlet-type DD solvers for hp discretizations devised as numerical procedures which result in DD solvers that are almost optimal with respect to the computational work. The most important DD solvers are presented in the matrix/vector form algorithms that are convenient for practical use.

Автор: Yunqing Huang; Ralf Kornhuber; Olof Widlund; Jinch
Название: Domain Decomposition Methods in Science and Engineering XIX
ISBN: 3642265693 ISBN-13(EAN): 9783642265693
Издательство: Springer
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Описание: These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering.

Автор: Michel Bercovier; Martin Gander; Ralf Kornhuber; O
Название: Domain Decomposition Methods in Science and Engineering XVIII
ISBN: 3642026761 ISBN-13(EAN): 9783642026768
Издательство: Springer
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Описание: th This volume contains a selection of 41 refereed papers presented at the 18 International Conference of Domain Decomposition Methods hosted by the School of ComputerScience and Engineering(CSE) of the Hebrew Universityof Jerusalem, Israel, January 12-17, 2008.