Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains - Hengguang Li

Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains

(Autor)

Buch | Softcover
X, 179 Seiten
2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-05820-2 (ISBN)
53,49 inkl. MwSt

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.

The Finite Element Method.- The Function Space.- Singularities and Graded Mesh Algorithms.- Error Estimates in Polygonal Domains.- Regularity Estimates and Graded Meshes in Polyhedral Domains.- Anisotropic Error Estimates in Polyhedral Domains.

Erscheinungsdatum
Reihe/Serie Surveys and Tutorials in the Applied Mathematical Sciences
Zusatzinfo X, 179 p. 50 illus., 27 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 281 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte anisotropic mesh algorithm • Elliptic boundary value problem • graded finite element method • Mixed boundary condition • nonsmooth domain • optimal convergence • Regularity Analysis • Singular solution • weighted Sobolev space
ISBN-10 3-031-05820-8 / 3031058208
ISBN-13 978-3-031-05820-2 / 9783031058202
Zustand Neuware
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