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 \((\xi, \eta)\)

DOI10.1016/S0045-7825(99)00060-2zbMath0952.65090MaRDI QIDQ1970191

H. T. Rathod, MD. Shajedul Karim

Publication date: 25 July 2000

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

zbMATH Keywords

finite element methodnumerical examplesrational functionscurved boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

On an efficient octic order sub-parametric finite element method on curved domains

Cites Work

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• Some integration formulas for a four-node isoparametric element
• Analytical integral formulae related to convex quadrilateral finite elements
• Curved, isoparametric, 'quadrilateral' elements for finite element analysis
• 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
• Engineering applications of numerical integration in stiffness methods.

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