Titlebook: Numerical Methods for PDEs; State of the Art Tec Daniele Antonio Di Pietro,Alexandre Ern,Luca Forma Book 2018 Springer Nature Switzerland A

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Mimetic Spectral Element Method for Anisotropic Diffusion,parse incidence matrices, while weighted mass matrices play the role of metric-dependent Hodge matrices. The resulting mixed formulation is point-wise divergence-free if the right hand side function .?=?0. The method is inf-sup stable; no stabilization is required and the method displays optimal con

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An Introduction to Hybrid High-Order Methods,s features: the support of arbitrary approximation orders on general polyhedral meshes, the reproduction at the discrete level of relevant continuous properties, and a reduced computational cost thanks to static condensation and compact stencil. After establishing the discrete setting, we introduce

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Oration

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Adaptive Tree Approximation with Finite Element Functions: A First Look,n technique can be seen as a benchmark for adaptive finite element methods, but may be also used therein for the approximation of data and coarsening. Correspondingly, we focus on approximation problems related to adaptive finite element methods, the design and performance of algorithms, and the res