Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: H and Hp Finite Element Discretizations

Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: H and Hp Finite Element Discretizations
ISBN-10
9814578452
ISBN-13
9789814578455
Category
Mathematics / Applied
Pages
463
Language
English
Published
2015
Publisher
World Scientific
Authors
Ulrich Langer, Vadim Glebovich Korneev

Description

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.

Get the book

Amazon.com
Amazon.com
Search the book
eBay.com
eBay.com
Search the book

Other editions

Similar books

  • 改變世界的17個方程式
    改變世界的17個方程式
    By 伊恩‧史都華

    瓊斯(Vaughan Jones)從瑞德麥斯特的觀念出發,提出了一個非常簡單、任何人都可能想到的想法。瓊斯不是紐結理論專家,他甚至也不是拓樸學家。他是一個分析學家,從事算子代數(operator algebras)的相關工作,這個領域和數學物理的連結很深。

  • Complex Adaptive Systems: An Introduction to Computational Models of Social Life
    Complex Adaptive Systems: An Introduction to Computational Models of Social Life
    By Scott E. Page, John Howard Miller

    This book provides the first clear, comprehensive, and accessible account of complex adaptive social systems, by two of the field's leading authorities. Such systems--whether political parties, stock markets, or ant...

  • Applied Statistics for Engineers and Scientists: Using Microsoft Excel and Minitab
    Applied Statistics for Engineers and Scientists: Using Microsoft Excel and Minitab
    By David M. Levine, Patricia P. Ramsey, Robert K. Smidt

    This applied book for engineers and scientists, written in a non-theoretical manner, focuses on underlying principles that are important in a wide range of disciplines. It emphasizes...

  • Mathematical Methods and Algorithms for Signal Processing
    Mathematical Methods and Algorithms for Signal Processing
    By Todd K. Moon, Wynn C. Stirling

    Mathematical Methods and Algorithms for Signal Processing tackles the challenge of providing readers and practitioners with the broad tools of mathematics employed in modern signal processing. Building from an...

  • Technical Calculus with Analytic Geometry
    Technical Calculus with Analytic Geometry
    By Allyn J. Washington

    This text has been a best seller in its field for over 15 years and now contains even more comprehensive coverage of calculus at the technical level. Covering the fundamentals...

  • Statistical Inference
    By Samuel David Silvey

    Statistical Inference

  • Applied Finite Mathematics
    Applied Finite Mathematics
    By Soo Tang Tan

    This book is the best seller of the Tan series. It has been extensively revised and has incorporated many valuable comments and suggestions form both users and reviewers. The writing...

  • Statistics in Medicine
    Statistics in Medicine
    By Robert H. Riffenburgh

    Medicine deals with treatments that work often but not always, so treatment success must be based on probability. Statistical methods lift medical research from the anecdotal to measured levels of...

  • Mathematics with Applications for the Management, Life, and Social Sciences
    Mathematics with Applications for the Management, Life, and Social Sciences
    By Howard Anton, Bernard Kolman, Bonnie Averbach

    Mathematics with Applications for the Management, Life, and Social Sciences

  • Mathematical Statistics with Applications
    Mathematical Statistics with Applications
    By William Mendenhall, Richard L. Scheaffer, Dennis D. Wackerly

    This is the most widely used mathematical statistics text at the top 200 universities in the United States. Premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a...