Graded finite element methods for elliptic problems in nonsmooth domains [electronic resource]

• 作者： Li, Hengguang.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Surveys and tutorials in the applied mathematical sciences ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Surveys and tutorials in the applied mathematical sciences,v. 10
• 主題： Boundary value problems--Numerical solutions. , Differential equations, Elliptic--Numerical solutions. , Computational Mathematics and Numerical Analysis. , Differential Equations.
• ISBN： 9783031058219 (electronic bk.) 、 9783031058202 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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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