\(hp\)-finite element trace inequalities for the pyramid

DOI10.1016/j.camwa.2015.01.011zbMath1443.65318OpenAlexW1973016109MaRDI QIDQ2006035

Jesse Chan, Timothy Warburton

Publication date: 8 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.01.011

zbMATH Keywords

pyramidfinite elementshigh order

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

A differential quadrature hierarchical finite element method using Fekete points for triangles and tetrahedrons and its applications to structural vibration ⋮ Enabling four-dimensional conformal hybrid meshing with cubic pyramids ⋮ GPU-accelerated discontinuous Galerkin methods on hybrid meshes ⋮ Orthogonal Bases for Vertex-Mapped Pyramids ⋮ Serendipity and Tensor Product Affine Pyramid Finite Elements ⋮ Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion

Cites Work

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• Higher-order finite elements for hybrid meshes using new nodal pyramidal elements
• Spectral methods on triangles and other domains
• On the constants in \(hp\)-finite element trace inverse inequalities.
• An explicit expression for the penalty parameter of the interior penalty method
• Gauss-Radau formulae for Jacobi and Laguerre weight functions
• Numerical integration for high order pyramidal finite elements
• Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
• Shape functions and integration formulas for three‐dimensional finite element analysis

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