Numerical integrations over an arbitrary quadrilateral region

DOI10.1016/j.amc.2009.01.030zbMath1162.65323OpenAlexW2000890511MaRDI QIDQ1021555

Md. Shafiqul Islam, M. Alamgir Hossain

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.030

zbMATH Keywords

numerical integrationGaussian quadraturedouble integralquadrilateral and triangular finite element

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (4)

Generalized Gaussian quadrature rules over two-dimensional regions with linear sides ⋮ Quadrature rules for numerical integration based on Haar wavelets and hybrid functions ⋮ Numerical integration method for triple integrals using the second kind Chebyshev wavelets and Gauss-Legendre quadrature ⋮ Numerical integration of multi-dimensional highly oscillatory, gentle oscillatory and non-oscillatory integrands based on wavelets and radial basis functions

Cites Work

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• Numerical quadrature and solution of ordinary differential equations. A textbook for a beginning course in numerical analysis
• Computation of double integrals over a triangle
• On the application of two symmetric Gauss-Legendre quadrature rules for composite numerical integration over a triangular surface
• Numerical Integration Over Simplexes and Cones
• Numerical Integration Over Simplexes
• Numerical Evaluation of Multiple Integrals II
• Some analytical integration formulae for a four node isoparametric element
• Numerical integration on a triangle
• Some criteria for numerically integrated matrices and quadrature formulas for triangles
• Gaussian quadrature formulas for triangles

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