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Graded finite element methods for el...

Li, Hengguang.

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Graded finite element methods for elliptic problems in nonsmooth domains

Record Type:	Electronic resources : Monograph/item
Title/Author:	Graded finite element methods for elliptic problems in nonsmooth domains/ by Hengguang Li.
Author:	Li, Hengguang.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	x, 179 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Boundary value problems - Numerical solutions. -
Online resource:	https://doi.org/10.1007/978-3-031-05821-9
ISBN:	9783031058219

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. 10..

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

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

532731
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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245 1 0 $a Graded finite element methods for elliptic problems in nonsmooth domains $h [electronic resource] / $c by Hengguang Li.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
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490 1 $a Surveys and tutorials in the applied mathematical sciences, $x 2199-4773 ; $v v. 10
505 0 $a 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.
520 $a 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.
650 0 $a Boundary value problems $x Numerical solutions. $3 532731
650 0 $a Differential equations, Elliptic $x Numerical solutions. $3 704930
650 1 4 $a Computational Mathematics and Numerical Analysis. $3 891040
650 2 4 $a Differential Equations. $3 907890
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950 $a Mathematics and Statistics (SpringerNature-11649)