Finite-part integrals over polygons by an 8-node quadrilateral spline finite element
type: Item
instance of: scholarly article
title: Finite-part integrals over polygons by an 8-node quadrilateral spline finite element
zbMATH Open document ID: 1204.65026
author: Chong-Jun Li
author: V. Demichelis
author: Catterina Dagnino
published in: BIT
publication date: 2010-07-02T00:00:00Z
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 5729748
zbMATH Keywords: cubature formulas
zbMATH Keywords: finite part integral
zbMATH Keywords: Cauchy principal value
zbMATH Keywords: spline finite element method
zbMATH Keywords: bivariate splines
zbMATH Keywords: subdivision
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
describes a project that uses: Mathematica
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s10543-010-0262-8
OpenAlex ID: W1997180647
cites work: Finite part integrals of local bivariate \(C^1\) quasi-interpolating splines
cites work: An adaptive numerical integration algorithm for polygons
cites work: A new 8-node quadrilateral spline finite element
cites work: Numerical integration over polygons using an eight-node quadrilateral spline finite element
cites work: The Numerical Evaluation of a 2-D Cauchy Principal Value Integral Arising in Boundary Integral Equation Methods
cites work: Numerical evaluation of hypersingular integrals
cites work: Definitions, properties and applications of finite-part integrals
cites work: On the numerical evaluation of two-dimensional principal value integrals
cites work: Q4225664
cites work: Q5706234
DOI: 10.1007/S10543-010-0262-8
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description: scientific article; zbMATH DE number 5729748