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Verfasst von:Li, Hengguang [VerfasserIn]   i
Titel:Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains
Verf.angabe:Hengguang Li
Verlagsort:Cham
Verlag:Springer
E-Jahr:2022
Jahr:2022.
Umfang:1 Online-Ressource (X, 179 Seiten)
Illustrationen:Illustrationen
Gesamttitel/Reihe:Surveys and Tutorials in the Applied Mathematical Sciences ; Volume10
 Springer eBook Collection
ISBN:978-3-031-05821-9
Abstract: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.
 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.
DOI:doi:10.1007/978-3-031-05821-9
URL:Resolving-System: https://doi.org/10.1007/978-3-031-05821-9
 Cover: https://swbplus.bsz-bw.de/bsz1815860197cov.jpg
 DOI: https://doi.org/10.1007/978-3-031-05821-9
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe
 Erscheint auch als : Druck-Ausgabe
K10plus-PPN:1815860197
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