Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes

DOI10.1016/j.jcp.2017.07.022zbMath1380.65211OpenAlexW2735613518MaRDI QIDQ683420

Francesca Rapetti, Richard Pasquetti

Publication date: 6 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.07.022

zbMATH Keywords

spectral element methodtriangular elementsFekete pointscubature pointsdiagonal mass matrixFekete-Gauss approximation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping ⋮ A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods

Cites Work

• A diagonal-mass-matrix triangular-spectral-element method based on cubature points
• An explicit construction of interpolation nodes on the simplex
• Polymorphic nodal elements and their application in discontinuous Galerkin methods
• Spectral methods on triangles and other domains
• An encyclopaedia of cubature formulas.
• Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling
• Comparison of some isoparametric mappings for curved triangular spectral elements
• Spectral element methods on unstructured meshes: comparisons and recent advances
• An Algorithm for Computing Fekete Points in the Triangle
• Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
• On Gauss–Lobatto Integration on the Triangle
• On the Existence of Explicit $hp$-Finite Element Methods Using Gauss–Lobatto Integration on the Triangle
• A Lobatto interpolation grid over the triangle
• Fekete-Gauss Spectral Elements for Incompressible Navier-Stokes Flows: The Two-Dimensional Case

This page was built for publication: Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes