Integration of rational functions of bivariate polynomial numerators with linear denominators over a \((-1,1)\) square in a local parametric two-dimensional space

DOI10.1016/S0045-7825(97)00314-9zbMath0936.65018OpenAlexW1997327337MaRDI QIDQ1808049

Md. Shafiqul Islam, H. T. Rathod

Publication date: 30 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00314-9

zbMATH Keywords

algorithmsfinite elementrational functionsquadrature

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (2)

Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements ⋮ Some analytical integration formulas for trapezoidal shape quadrilateral elements of Lagrange family

Cites Work

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• Some integration formulas for a four-node isoparametric element
• Analytical integral formulae related to convex quadrilateral finite elements
• Analytical integration formulae for linear isoparametric finite elements
• Some analytical integration formulae for a four node isoparametric element
• An accurate finite element formulation for linear elastic torsion calculations

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