Analytical integral formulae related to convex quadrilateral finite elements

DOI10.1016/0045-7825(81)90113-4zbMath0469.65011OpenAlexW2053210033MaRDI QIDQ1157094

Masayuki Okabe

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90113-4

zbMATH Keywords

finite elementsrational functionsquadrature formulaeisoparametricalsubparametrical rectangular interpolations

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements, Synthetic division based integration of rational functions of bivariate polynomial numerators with linear denominators over a unit triangle \(\{0 \leq \xi, \eta\leq 1, \xi + \eta\leq 1\}\) in the local parametric space \((\xi, \eta)\), Some analytical integration formulas for trapezoidal shape quadrilateral elements of Lagrange family, On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation, Semi-analytical integration of the elastic stiffness matrix of an axisymmetric eight-noded finite element, Distortion, degeneracy and rezoning in finite element -- a survey., Integration of rational functions of bivariate polynomial numerators with linear denominators over a \((-1,1)\) square in a local parametric two-dimensional space, Affine approximation of isoparametric elements

Cites Work

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