Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains: 10 (Surveys and Tutorials in the Applied Mathematical Sciences) - Softcover

Li, Hengguang

 
9783031058202: Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains: 10 (Surveys and Tutorials in the Applied Mathematical Sciences)

Inhaltsangabe

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.

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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.

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Weitere beliebte Ausgaben desselben Titels

9783031058226: Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains

Vorgestellte Ausgabe

ISBN 10:  3031058224 ISBN 13:  9783031058226
Verlag: Springer, 2022
Softcover