Anisotropic hp-Mesh Adaptation Methods : Theory, implementation and applications

Name: Anisotropic hp-Mesh Adaptation Methods
Brand: Birkhauser Verlag AG
SKU: 9783031042782
Price: 13500 KES
Availability: OutOfStock
ISBN: 9783031042782

1st ed. 2022

by Georg May , Vít Dolejší

Book Details

Format Paperback / softback

Book Series Necas Center Series

ISBN-10 3031042786

ISBN-13 9783031042782

Edition 1st ed. 2022

Publisher Birkhauser Verlag AG

Imprint Birkhauser Verlag AG

Country of Manufacture GB

Country of Publication GB

Publication Date Jun 7th, 2022

Print length 252 Pages

Product Classification: Numerical analysis

KSh 13,500.00

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Mesh adaptation methods can have a profound impact on the numerical solution of partial differential equations. If devised and implemented properly, adaptation significantly reduces the size of the algebraic systems resulting from the discretization, while ensuring that applicable error tolerances are met. In this monograph, drawing from many years of experience, the authors give a comprehensive presentation of metric-based anisotropic hp-mesh adaptation methods.

A large part of this monograph is devoted to the derivation of computable interpolation error estimates on simplicial meshes, which take into account the geometry of mesh elements as well as the anisotropic features of the interpolated function. These estimates are then used for the optimization of corresponding finite element spaces in a variety of settings. Both steady and time dependent problems are treated, as well as goal-oriented adaptation. Practical aspects of implementation are also explored, including several algorithms. Many numerical experiments using the discontinuous Galerkin method are presented to illustrate the performance of the adaptive techniques.

This monograph is intended for scientists and researchers, including doctoral and master-level students. Portions of the text can also be used as study material for advanced university lectures concerning a posteriori error analysis and mesh adaptation.

Get Anisotropic hp-Mesh Adaptation Methods by Georg May, Vít Dolejší at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Birkhauser Verlag AG and it has 252 pages.