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

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https://doi.org/10.1007/978-3-319-29454-4do not satisfy the classical regularity properties used in the approximation theory and thus they have to be treated in a special way. However, such meshes allow the accurate and efficient approximation of functions featuring anisotropic behaviours near boundary or interior layers.
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Finite Element Method on Polytopal Meshes,ver 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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1439-7358 ds designed for the treatment of boundary value problems on .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 fi
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Developments of Mixed and Problem-Adapted BEM-Based FEM,s lies on two topics: The use of the method within mixed finite element formulations and the generalization of the construction of basis functions to polyhedral elements with polygonal faces in 3D with an application to convection-dominated problems.
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Steffen WeißerState-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
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