Graded finite element methods for elliptic problems in nonsmooth domains / Hengguang Li.
Li, Hengguang, author.
2022
QA379
Available Online

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Title Graded finite element methods for elliptic problems in nonsmooth domains / Hengguang Li.
Author Li, Hengguang, author.
ISBN 9783031058219 (electronic bk.)
3031058216 (electronic bk.)
9783031058202
3031058208
DOI https://doi.org/10.1007/978-3-031-05821-9
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource (x, 179 pages) : illustrations (some color).
Other Standard Identifiers 10.1007/978-3-031-05821-9 doi
Call Number QA379
Dewey Decimal Classification 515/.3533
Summary This book develops a class of graded finite element methods to solve singular elliptic boundary value problems in two- and three-dimensional domains. It provides an approachable and self-contained presentation of the topic, including both the mathematical theory and numerical tools necessary to address the major challenges imposed by the singular solution. Moreover, by focusing upon second-order equations with constant coefficients, it manages to derive explicit results that are accessible to the broader computation community. Although written with mathematics graduate students and researchers in mind, this book is also relevant to applied and computational mathematicians, scientists, and engineers in numerical methods who may encounter singular problems.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Series Surveys and tutorials in the applied mathematical sciences ; 10.
Available in Other Form Graded finite element methods for elliptic problems in nonsmooth domains.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
The Finite Element Method
The Function Space
Singularities and Graded Mesh Algorithms
Error Estimates in Polygonal Domains
Regularity Estimates and Graded Meshes in Polyhedral Domains
Anisotropic Error Estimates in Polyhedral Domains.

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