Name: Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: H and HP Finite Element Discretizations (en Inglés)
SKU: 59542998
Price: 3790.68 MXN
Availability: InStock
Author: Korneev, Vadim Glebiovich ; Langer, Ulrich
ISBN: 9789814578455

portada Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: H and HP Finite Element Discretizations (en Inglés)

Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: H and HP Finite Element Discretizations (en Inglés)

Formato

Libro Físico

Autor

Ulrich Langer

Vadim Glebiovich Korneev

Editorial

World Scientific Publishing Company

Idioma

Inglés

N° páginas

484

Encuadernación

Tapa Dura

Dimensiones

22.9x15.5x3 cm

Peso

0.79 kg.

ISBN13

9789814578455

Categorías

Fundamentos matemáticos
Cálculo diferencial y ecuaciones
Matemáticas aplicadas

Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: H and HP Finite Element Discretizations (en Inglés)

Ulrich Langer (Autor) · Vadim Glebiovich Korneev (Autor) · World Scientific Publishing Company · Tapa Dura

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Reseña del libro "Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: H and HP Finite Element Discretizations (en Inglés)"

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.