Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs

DOI10.1016/j.apnum.2009.06.006zbMath1175.65142OpenAlexW1980867546MaRDI QIDQ731958

Jin Huang, Tao Lü, Zi Cai Li

Publication date: 9 October 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.06.006

zbMATH Keywords

a posteriori estimatefirst-kind boundary integral equationmechanical quadrature methodopen arcssplitting extrapolation algorithm

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (18)

A combination method for solving multi-dimensional systems of Volterra integral equations with weakly singular kernels ⋮ Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy's equation on polygons by mechanical quadrature methods ⋮ Stability analysis via condition number and effective condition number for the first kind boundary integral equations by advanced quadrature methods, a comparison ⋮ Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods ⋮ A numerical approach for the system of nonlinear variable-order fractional Volterra integral equations ⋮ Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods ⋮ Advanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace's equation with discontinuity solutions ⋮ The method of fundamental solutions and its combinations for exterior problems ⋮ Productivity formulae of an infinite-conductivity hydraulically fractured well producing at constant wellbore pressure based on numerical solutions of a weakly singular integral equation of the first kind ⋮ Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods ⋮ Mechanical quadrature methods and extrapolation for solving nonlinear problems in elasticity ⋮ Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations ⋮ Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation ⋮ Mechanical quadrature method and splitting extrapolation algorithm for the boundary integral equation of the axisymmetric anisotropic Darcy's equation ⋮ Bernstein series solutions of multidimensional linear and nonlinear Volterra integral equations with fractional order weakly singular kernels ⋮ Extrapolation method for solving two-dimensional Volterra integral equations of the second kind ⋮ Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations ⋮ New solution to the pressure transient equation in a two-layer reservoir with crossflow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• The modified quadrature method for logarithmic-kernel integral equations on closed curves
• Multi-parameter extrapolation methods for boundary integral equations
• A modified discrete spectral collocation method for first kind integral equations with logarithmic kernel
• High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs.
• On integral equations of the first kind with logarithmic kernels
• The numerical solution of Symm's equation on smooth open arcs by spline Galerkin methods
• The Numerical Solution of First-Kind Logarithmic-Kernel Integral Equations on Smooth Open Arcs
• Cosine Change of Variable for Symm's Integral Equation on Open Arcs
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications
• On the Convergence of Collocation Methods for Symm's Integral Equation on Open Curves
• Mesh Grading for Integral Equations of the First Kind with Logarithmic Kernel
• Quadrature methods for logarithmic-kernel integral equations on closed curves
• The Numerical Solution of Integral Equations of the Second Kind
• Superconvergent Approximations to the Solution of a Boundary Integral Equation on Polygonal Domains
• The Splitting Extrapolation Method
• An extrapolation method for a class of boundary integral equations
• Solution of Boundary Value Problems by Integral Equations of the First Kind

This page was built for publication: Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs