Anisotropic hp-Mesh Adaptation Methods eBook
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Anisotropic hp-Mesh Adaptation Methods

Theory, implementation and applications

Vít Dolejší, Georg May


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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.

About the book
Author
Vít  Dolejší , Georg  May
Imprint
Birkhäuser
Collection
Necas Center Series
Publication date
2022-06-06
Pages
252 pages
Print ISBN
9783031042782
Language
English
Ebook informations
EAN PDF
9783031042799
Price
£74.50
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Copy count 2
Print count 25
File size 16435 Ko
Ce livre est accessible aux handicaps   Informations accessibility
EAN EPUB
9783031042799
Price
£74.50
Read more
Copy count 2
Print count 25
File size 58378 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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About author(s)


Defaut-Illustration Vít Dolejší
Defaut-Illustration Georg May

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