Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains: Surveys and Tutorials in the Applied Mathematical Sciences, cartea 10
Autor Hengguang Lien Limba Engleză Paperback – 3 sep 2022
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Specificații
ISBN-13: 9783031058202
ISBN-10: 3031058208
Pagini: 179
Ilustrații: X, 179 p. 50 illus., 27 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.3 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Surveys and Tutorials in the Applied Mathematical Sciences
Locul publicării:Cham, Switzerland
ISBN-10: 3031058208
Pagini: 179
Ilustrații: X, 179 p. 50 illus., 27 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.3 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Surveys and Tutorials in the Applied Mathematical Sciences
Locul publicării:Cham, Switzerland
Cuprins
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.
Textul de pe ultima copertă
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.
Caracteristici
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