A Comparison of High Order Interpolation Nodes for the Pyramid

DOI10.1137/141000105zbMath1323.65118arXiv1412.4138OpenAlexW1958241752MaRDI QIDQ2947050

Jesse Chan, Timothy Warburton

Publication date: 21 September 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4138

zbMATH Keywords

interpolationfinite element methodnumerical experimenthigh orderLebesgue constanthex-dominant meshes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Enabling four-dimensional conformal hybrid meshing with cubic pyramids ⋮ Bernstein-Bézier finite elements on tetrahedral-hexahedral-pyramidal partitions ⋮ Second-order pyramid element formulations suitable for lumped-mass explicit methods in nonlinear solid mechanics ⋮ On nodal point sets for flux reconstruction ⋮ Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. I: Volume integration ⋮ Orthogonal Bases for Vertex-Mapped Pyramids ⋮ Serendipity and Tensor Product Affine Pyramid Finite Elements ⋮ A lowest-order composite finite element exact sequence on pyramids ⋮ A mortar method based on NURBS for curved interfaces ⋮ On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes ⋮ Skew-symmetric entropy stable modal discontinuous Galerkin formulations ⋮ Recursive, Parameter-Free, Explicitly Defined Interpolation Nodes for Simplices

Uses Software

• LEBFEK

Cites Work

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