A new method for numerical integration of singular functions on the plane
type: Item
instance of: scholarly article
title: A new method for numerical integration of singular functions on the plane
zbMATH Open document ID: 1311.65027
author: Alfredo Cano
author: Carlos Moreno
published in: Numerical Algorithms
publication date: 2015-03-23T00:00:00Z
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 6418190
zbMATH Keywords: Gaussian quadrature
zbMATH Keywords: shape function
zbMATH Keywords: singularity
zbMATH Keywords: Duffy transformation
zbMATH Keywords: numerical example
describes a project that uses: NUMINT
describes a project that uses: XFEM
describes a project that uses: Ial.m
MaRDI profile type: Publication
full work available at URL: s11075-014-9860-x
OpenAlex ID: W1969682948
cites work: Q3323133
cites work: Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
cites work: Q3115111
cites work: High-order extended finite element method for cracked domains
cites work: On finite element integration in natural co-ordinates
cites work: Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics
cites work: Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method
cites work: Numerical quadrature in n dimensions
cites work: A mapping method for numerical evaluation of two-dimensional integrals with \(1/r\) singularity
cites work: Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems
cites work: Numerical Evaluation of High-Dimensional Integrals
cites work: Q4158394
cites work: Q5535928
cites work: Q3564656
DOI: 10.1007/S11075-014-9860-X
description: scientific article; zbMATH DE number 6418190