Finite-part integrals over polygons by an 8-node quadrilateral spline finite element

DOI10.1007/s10543-010-0262-8zbMath1204.65026OpenAlexW1997180647MaRDI QIDQ981673

Vittoria Demichelis, Chong-Jun Li, Cattarina Dagnino

Publication date: 2 July 2010

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-010-0262-8

zbMATH Keywords

Cauchy principal valueconvergencenumerical examplessubdivisioncubature formulasfinite part integralspline finite element methodbivariate splines

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Numerical integration based on trivariate \(C ^{2}\) quartic spline quasi-interpolants

Uses Software

• Mathematica
• Matlab

Cites Work

• Numerical integration over polygons using an eight-node quadrilateral spline finite element
• An adaptive numerical integration algorithm for polygons
• Definitions, properties and applications of finite-part integrals
• Numerical evaluation of hypersingular integrals
• A new 8-node quadrilateral spline finite element
• On the numerical evaluation of two-dimensional principal value integrals
• The Numerical Evaluation of a 2-D Cauchy Principal Value Integral Arising in Boundary Integral Equation Methods
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