A meshless like method for the approximate solution of integral equations over polygons

DOI10.1016/j.apm.2013.04.049zbMath1427.65420OpenAlexW2070403893MaRDI QIDQ1792279

Mahmoud Hadizadeh, Najmeh Masoudipour

Publication date: 11 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.04.049

zbMATH Keywords

integral equationprojection methodnumerical treatmentGauss-like cubaturepolygon domain

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Unnamed Item
• Meshless cubature by Green's formula
• Meshless cubature over the disk using thin-plate splines
• An adaptive numerical integration algorithm for polygons
• Product Gauss cubature over polygons based on Green's integration formula
• Numerical solutions for weakly singular Hammerstein equations and their superconvergence
• The collocation method for solving the radiosity equation for unoccluded surfaces
• TWODQD an adaptive routine for two-dimensional integration
• Symmetric quadrature rules on a triangle
• A fast matrix--vector multiplication method for solving the radiosity equation
• An Algorithm for Automatic Integration Over a Triangle Using Nonlinear Extrapolation
• A quadrilateral finite element including vertex rotations for plane elasticity analysis
• The Numerical Solution of Integral Equations of the Second Kind
• On the Approximation of Fixed Points of Nonlinear Compact Operators
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
• The Numerical Evaluation of Fixed Points for Completely Continuous Operators

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