Boundary integration of polynomials over an arbitrary linear tetrahedron in Euclidean three-dimensional space

DOI10.1016/S0045-7825(97)00041-8zbMath0937.65028OpenAlexW2079819927MaRDI QIDQ1962725

H. T. Rathod, S. V. Hiremath

Publication date: 14 June 2000

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)00041-8

zbMATH Keywords

algorithmsnumerical resulttetrahedronsurface integralsboundary integral equation methodsintegrals of trivariate polynomials

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Highly accurate Lagrangian flux calculation via algebraic quadratures on spline-approximated donating regions ⋮ Boundary integration of polynomials over an arbitrary linear hexahedron in Euclidean three-dimensional space

Cites Work

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• Boundary integration over linear polyhedra
• Integration of polynomials over linear polyhedra in Euclidean three-dimensional space
• Integration of polynomials over \(n\)-dimensional polyhedra
• Integration of polynomials over an arbitrary tetrahedron in Euclidean three-dimensional space

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