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Graded finite element methods for elliptic problems in nonsmooth domains

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Graded finite element methods for elliptic problems in nonsmooth domainsby Hengguang Li.
作者:	Li, Hengguang.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	x, 179 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Boundary value problemsNumerical solutions.
電子資源:	https://doi.org/10.1007/978-3-031-05821-9
ISBN:	9783031058219$q(electronic bk.)

Graded finite element methods for elliptic problems in nonsmooth domains
Li, Hengguang.

Graded finite element methods for elliptic problems in nonsmooth domains[electronic resource] /by Hengguang Li. - Cham :Springer International Publishing :2022. - x, 179 p. :ill. (some col.), digital ;24 cm. - Surveys and tutorials in the applied mathematical sciences,v. 102199-4773 ;. - Surveys and tutorials in the applied mathematical sciences ;v.7..

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.

ISBN: 9783031058219$q(electronic bk.)

Standard No.: 10.1007/978-3-031-05821-9doiSubjects--Topical Terms:

185295
Boundary value problems
--Numerical solutions.

LC Class. No.: QA379

Dewey Class. No.: 515.3533

Graded finite element methods for elliptic problems in nonsmooth domains
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