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Bem-Based Finite Element Approaches on Polytopal Meshes
Paperback
Series: Lecture Notes in Computational Science and Engineering, Book 130
General ComputersGeneral Mathematics
ISBN13: 9783030209636
Publisher: Springer Nature
Published: Aug 14 2020
Pages: 246
Weight: 0.83
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes.
Given its scope, the book will be of interest to mathematicians in the field of boundary value problems, engineers with a (mathematical) background in finite element methods, and advanced graduate students.
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