A diagonal-mass-matrix triangular-spectral-element method based on cubature points

DOI10.1007/s10665-006-9085-7zbMath1110.65093OpenAlexW2104724067MaRDI QIDQ870706

N. E. Zubov

Publication date: 14 March 2007

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-006-9085-7

zbMATH Keywords

numerical examplesPoisson equationhyperbolic equationadvection equationelliptic equationshallow-water equationLegendre-Gauss-Lobatto pointsnodal spectral-element methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for first-order hyperbolic systems (35L45) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (16)

Comparison of some isoparametric mappings for curved triangular spectral elements ⋮ Hybrid high-order methods for the acoustic wave equation in the time domain ⋮ Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling ⋮ Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping ⋮ Time-explicit hybrid high-order method for the nonlinear acoustic wave equation ⋮ Fast simplicial finite element algorithms using Bernstein polynomials ⋮ A correction technique for the dispersive effects of mass lumping for transport problems ⋮ Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping ⋮ Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes ⋮ Dispersion analysis of the spectral element method using a triangular mesh ⋮ STABLE MATCHED LAYER FOR THE ACOUSTIC CONSERVATION EQUATIONS IN THE TIME DOMAIN ⋮ Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements ⋮ Spectral Element Methods on Simplicial Meshes ⋮ Spectral element method for wave propagation on irregular domains ⋮ A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods ⋮ High Order Mixed Finite Elements with Mass Lumping for Elasticity on Triangular Grids

Uses Software

• chammp

Cites Work

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