Overview
- Suitable for researchers as well as graduate and postdoc students
- Uniquely presents both theory and numerical algorithms for singularities
- Focuses on refining techniques with cross-disciplinary applications
Part of the book series: Surveys and Tutorials in the Applied Mathematical Sciences (STAMS, volume 10)
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Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains
Authors: Hengguang Li
Series Title: Surveys and Tutorials in the Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-031-05821-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Softcover ISBN: 978-3-031-05820-2Published: 03 September 2022
eBook ISBN: 978-3-031-05821-9Published: 01 September 2022
Series ISSN: 2199-4765
Series E-ISSN: 2199-4773
Edition Number: 1
Number of Pages: X, 179
Number of Illustrations: 23 b/w illustrations, 27 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Analysis