Weighted quadrature rules for finite element methods

DOI10.1016/j.cam.2008.07.007zbMath1162.65013OpenAlexW2157699917MaRDI QIDQ1012500

Alexandre L. Madureira, Frédéric Valentin, Saulo Pomponet Oliveira

Publication date: 21 April 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.07.007

zbMATH Keywords

numerical integrationfinite element methodnumerical examplessymbolic integrationreaction-diffusion equationquadrature rules

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (4)

An efficient and rapid numerical quadrature to generate element matrices for quadrilateral and hexahedral elements in functionally graded materials (FGMs) ⋮ Numerical multiscale methods for a reaction-dominated model ⋮ Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines ⋮ A new numerical integration over arbitrary quadrilateral element based on smoothed strain energy and Richardson extrapolation

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