Description: Dirichlet-dirichlet Domain Decomposition Methods For Elliptic Problems: H And Hp Finite Element Discretizations by Vadim Glebiovich Korneev, Ulrich Langer 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Table of Contents Fundamentals of the Schwarz Methods; Overlapping Domain Decomposition Methods; Nonoverlapping DD Methods for h FE Discretizations in 2d; BPS-type DD Preconditioners for 3d Elliptic Problems; DD Algorithms for Discretizations with Orthotropism; Nonoverlapping DD Methods for hp Discretizations of 2d Elliptic Equations; Fast Dirichlet Solvers for 2d Reference Elements; Nonoverlapping Dirichlet - Dirichlet Methods for hp Discretizations of 3d Elliptic Equations. Details ISBN9814578452 Author Ulrich Langer Language English ISBN-10 9814578452 ISBN-13 9789814578455 Media Book Format Hardcover Imprint World Scientific Publishing Co Pte Ltd Subtitle H and HP Finite Element Discretizations Place of Publication Singapore Country of Publication Singapore DEWEY 515.353 Short Title DIRICHLET-DIRICHLET DOMAIN DEC Pages 484 Affiliation Johannes Kepler Univ Linz, Austria Year 2015 Publication Date 2015-03-26 UK Release Date 2015-03-26 Publisher World Scientific Publishing Co Pte Ltd Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:126696320;
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ISBN-13: 9789814578455
Book Title: Dirichlet-dirichlet Domain Decomposition Methods For Elliptic Pro
Publisher: World Scientific Publishing Co Pte Ltd
Publication Year: 2015
Subject: Mathematics
Number of Pages: 484 Pages
Language: English
Publication Name: Dirichlet-dirichlet Domain Decomposition Methods For Elliptic Problems: H And Hp Finite Element Discretizations
Type: Textbook
Author: Ulrich Langer, Vadim Glebiovich Korneev
Format: Hardcover
