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

By:

Li, Hengguang [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook Collection | Surveys and tutorials in the applied mathematical sciences ; Volume 10Publisher: Cham : Springer, 2022Description: 1 Online-Ressource (X, 179 Seiten) : IllustrationenISBN:

9783031058219

Subject(s):

Additional physical formats: 9783031058202 | 9783031058226 | Erscheint auch als: 9783031058202 Druck-Ausgabe | Erscheint auch als: 9783031058226 Druck-AusgabeDOI: DOI: 10.1007/978-3-031-05821-9Online resources:

Summary: 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.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.PPN: PPN: 1815860197Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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