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Titlebook: BEM-based Finite Element Approaches on Polytopal Meshes; Steffen Wei?er Book 2019 Springer Nature Switzerland AG 2019 BEM-based FEM.Trefft

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樓主
發(fā)表于 2025-3-21 20:08:28 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱BEM-based Finite Element Approaches on Polytopal Meshes
影響因子2023Steffen Wei?er
視頻videohttp://file.papertrans.cn/181/180082/180082.mp4
發(fā)行地址State-of-the-art introduction, mathematical analysis and applications of the BEM-based FEM combined in one monograph..One of the first methods designed for the treatment of boundary value problems on
學(xué)科分類Lecture Notes in Computational Science and Engineering
圖書封面Titlebook: BEM-based Finite Element Approaches on Polytopal Meshes;  Steffen Wei?er Book 2019 Springer Nature Switzerland AG 2019 BEM-based FEM.Trefft
影響因子.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. .The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations. All theoretical results and considerations discussed in the book are verified and illustrated by several numerical examples and experiments. ?.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
Pindex Book 2019
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沙發(fā)
發(fā)表于 2025-3-21 20:32:50 | 只看該作者
Finite Element Method on Polytopal Meshes,nd engineering. The approach relies on the decomposition of the underlying domain into elements and the construction of a discrete approximation space over the given discretization. The BEM-based finite element method can be seen as a generalization in order to handle more general elements in the me
板凳
發(fā)表于 2025-3-22 02:00:10 | 只看該作者
地板
發(fā)表于 2025-3-22 07:53:07 | 只看該作者
Boundary Integral Equations and Their Approximations,a short introduction into this topic with a special emphasis on its application in the BEM-based FEM. Therefore, the boundary integral operators for the Laplace problem are reviewed in two- and three-dimensions and corresponding boundary integral equations are derived. Their discretization is realiz
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Book 2019 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
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發(fā)表于 2025-3-23 00:55:46 | 只看該作者
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發(fā)表于 2025-3-23 01:51:44 | 只看該作者
Introduction,locally refined meshes with naturally included hanging nodes, and to convection-diffusion-reaction problems, showing stabilizing effects while incorporating the differential equation into the approximation space. All theoretical considerations are substantiated with several numerical tests and examples.
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發(fā)表于 2025-3-23 06:10:41 | 只看該作者
Michael A. Tallon,Xuejun (Jay) Liuver these general meshes. The formulation of the BEM-based FEM is obtained by means of a Galerkin formulation and its convergence and approximation properties are analysed with the help of introduced interpolation operators. Numerical experiments confirm the theoretical findings.
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