Comparison of some isoparametric mappings for curved triangular spectral elements

DOI10.1016/j.jcp.2016.04.038zbMath1349.65654OpenAlexW2336857914MaRDI QIDQ2375249

Richard Pasquetti

Publication date: 5 December 2016

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

Full work available at URL: https://hal.univ-cotedazur.fr/hal-01307076/file/note_revised_2.pdf

zbMATH Keywords

spectral element methodFekete pointsFekete-Gauss approximationcurved triangular elementsisoparametric mappings

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Analysis/application of stabilization by the over-integration technique in CBS-SEM for incompressible flow ⋮ Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes ⋮ Spectral element method for wave propagation on irregular domains

Uses Software

• CHEASE
• XTOR
• ECOM

Cites Work

• ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria
• A diagonal-mass-matrix triangular-spectral-element method based on cubature points
• The CHEASE code for toroidal MHD equilibria
• Spectral element methods on unstructured meshes: comparisons and recent advances
• Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• GLOBAL C¹ MAPS ON GENERAL DOMAINS
• Fekete-Gauss Spectral Elements for Incompressible Navier-Stokes Flows: The Two-Dimensional Case
• Computing with hp-ADAPTIVE FINITE ELEMENTS

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