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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Reactions Involving Maleic Anhydrideontinuously during the last few years. This work presents a self-contained and systematic introduction, study and application of the BEM-based FEM with high-order approximation spaces on general polytopal meshes in two and three space dimensions. This approach makes use of local boundary integral fo

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Michael A. Tallon,Xuejun (Jay) Liund 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

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https://doi.org/10.1007/978-3-319-29454-4ns, the application of pointwise interpolation is not well defined and in the presence of layers the use of regular and uniform meshes is not optimal in some sense. For these reasons quasi-interpolation operators for non-smooth functions over polytopal meshes are introduced and analysed in this chap

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https://doi.org/10.1007/978-3-319-29454-4a 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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BEM-based Finite Element Approaches on Polytopal Meshes978-3-030-20961-2Series ISSN 1439-7358 Series E-ISSN 2197-7100

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Adaptive BEM-Based Finite Element Method,al-oriented techniques on general polytopal meshes. Whereas, we derive reliability and efficiency estimates for the first mentioned estimator, we discuss the benefits and potentials of the second one for general meshes.