Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods

DOI10.1007/s10444-011-9181-8zbMath1381.45005OpenAlexW2055469022MaRDI QIDQ429798

Guang Zeng, Xiaoming He, Jin Huang, Zi Cai Li

Publication date: 20 June 2012

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-011-9181-8

zbMATH Keywords

stability analysissingularitya posteriori estimatefirst-kind boundary integral equationmechanical quadrature methodsplitting extrapolation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Numerical integration (65D30) Integral equations with kernels of Cauchy type (45E05)

Related Items (5)

High-accuracy quadrature methods for solving boundary integral equations of steady-state anisotropic heat conduction problems with Dirichlet conditions ⋮ 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 ⋮ Extrapolation method for solving two-dimensional Volterra integral equations of the second kind ⋮ New solution to the pressure transient equation in a two-layer reservoir with crossflow

Uses Software

• SERBA

Cites Work

• The delta-trigonometric method using the single-layer potential representation
• Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs
• A splitting extrapolation for solving nonlinear elliptic equations with \(d\)-quadratic finite elements
• 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
• An optimal order collocation method for first kind boundary integral equations on polygons
• Heritage and early history of the boundary element method
• Particular solutions of Laplace's equations on polygons and new models involving mild singularities
• A Finite Element Splitting Extrapolation for Second Order Hyperbolic Equations
• 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
• An Alternating Potential-Based Approach To The Cauchy Problem For The Laplace Equation In A Planar Domain With A Cut
• Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements
• 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 Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
• Inverse scattering from an open arc
• The Numerical Solution of Integral Equations of the Second Kind
• Inverse scattering for a locally perturbed half-plane
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