BEM-based Finite Element Approaches on Polytopal Meshes (eBook, PDF)
Steffen Weißer
eBook, PDF

BEM-based Finite Element Approaches on Polytopal Meshes (eBook, PDF)

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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 ...

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