Graded Finite Element Methods for Elliptic Problems in Nonsmooth 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 addr...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2022, 2022
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| Edition: | 1st ed. 2022 |
| Series: | Surveys and Tutorials in the Applied Mathematical Sciences
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
| Summary: | 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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| Physical Description: | X, 179 p. 50 illus., 27 illus. in color online resource |
| ISBN: | 9783031058219 |