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

Li, Hengguang

Softcover

ISBN 10: 3031058208 ISBN 13: 9783031058202

Publisher: Springer, 2022

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2022
• Language: English
• ISBN 10: 3031058208
• ISBN 13: 9783031058202
• Binding: Paperback
• Edition number: 1
• Number of pages: 189