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Graded finite element methods for elliptic problems in nonsmooth domains / Hengguang Li.

9783031058219 (electronic bk.)
3031058216 (electronic bk.)
9783031058202
3031058208

Cham : Springer, [2022]

©2022

English

1 online resource (x, 179 pages) : illustrations (some color).

10.1007/978-3-031-05821-9 doi

QA379

515/.3533

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.

Includes bibliographical references and index.

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Description based on print version record.

Surveys and tutorials in the applied mathematical sciences ; 10.

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