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＜E-Book＞
Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains / by Hengguang Li
(Surveys and Tutorials in the Applied Mathematical Sciences. ISSN:21994773 ; 10)

Edition	1st ed. 2022.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2022
Language	English
Size	X, 179 p. 50 illus., 27 illus. in color : online resource
Authors	*Li, Hengguang author SpringerLink (Online service)
Subjects	LCSH:Mathematics -- Data processing  All Subject Search LCSH:Differential equations FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-031-05821-9

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