Gauss legendre quadrature formulas over a tetrahedron

DOI10.1002/num.20095zbMath1084.65028OpenAlexW2125032273MaRDI QIDQ3370531

B. Venkatesudu, H. T. Rathod, K. V. Nagaraja

Publication date: 7 February 2006

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20095

zbMATH Keywords

finite element methodtetrahedral finite elementslinear three-dimensional elasticityGauss Legendre quadratureGauss Legendre quadrature methodstandard 2-cubestandard tetrahedron

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

Gauss Legendre-Gauss Jacobi quadrature rules over a tetrahedral region ⋮ Modified Lagrange-Galerkin methods of first and second order in time for convection-diffusion problems ⋮ Transformation methods for the numerical integration of three-dimensional singular functions ⋮ Gauss quadrature rules for numerical integration over a standard tetrahedral element by decomposing into hexahedral elements ⋮ Numerical integration method for triple integrals using the second kind Chebyshev wavelets and Gauss-Legendre quadrature ⋮ A nearly-conservative high-order Lagrange-Galerkin method for the resolution of scalar convection-dominated equations in non-divergence-free velocity fields

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