Numerical integration for high order pyramidal finite elements

DOI10.1051/m2an/2011042zbMath1276.65083arXiv1003.0495OpenAlexW2128332944MaRDI QIDQ2846145

Joel R. Phillips, Nilima Nigam

Publication date: 5 September 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0495

zbMATH Keywords

convergenceconsistencyquadrature rulediscrete de Rham complexhigher-order conforming pyramidal finite element methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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A Comparison of High Order Interpolation Nodes for the Pyramid ⋮ Enabling four-dimensional conformal hybrid meshing with cubic pyramids ⋮ Bernstein-Bézier finite elements on tetrahedral-hexahedral-pyramidal partitions ⋮ Higher‐order discontinuous Galerkin method for pyramidal elements using orthogonal bases ⋮ \(hp\)-finite element trace inequalities for the pyramid ⋮ GPU-accelerated discontinuous Galerkin methods on hybrid meshes ⋮ Orthogonal Bases for Vertex-Mapped Pyramids ⋮ Serendipity and Tensor Product Affine Pyramid Finite Elements ⋮ A Systematic Construction of Finite Element Commuting Exact Sequences ⋮ A lowest-order composite finite element exact sequence on pyramids

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