Efficient Quadrature Rules for Computing the Stiffness Matrices of Mass-Lumped Tetrahedral Elements for Linear Wave Problems

DOI10.1137/18M1198557zbMath1414.65014arXiv1905.10104WikidataQ128084338 ScholiaQ128084338MaRDI QIDQ4632006

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Publication date: 25 April 2019

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

Full work available at URL: https://arxiv.org/abs/1905.10104

zbMATH Keywords

wave equationspectral element methodquadrature rulemass lumpingtetrahedral element

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32)

Related Items

More continuous mass-lumped triangular finite elements, A new family of high‐order triangular weight functions for mass lumping in vibration analysis, Unisolvence of symmetric node patterns for polynomial spaces on the simplex, High-order implicit time integration scheme based on Padé expansions, PI-type fully symmetric quadrature rules on the 3-, \dots, 6-simplexes, Isoparametric numerical integration on enriched 4D simplicial elements

Uses Software

• polyquad

Cites Work

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