Mechanical quadrature method and splitting extrapolation for solving Dirichlet boundary integral equation of Helmholtz equation on polygons

DOI10.1155/2014/812505zbMath1442.65459OpenAlexW2045812242WikidataQ59052530 ScholiaQ59052530MaRDI QIDQ2336740

Hu Li, Yanying Ma

Publication date: 19 November 2019

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

Full work available at URL: https://doi.org/10.1155/2014/812505

Mathematics Subject Classification ID

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

Related Items (3)

Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition ⋮ Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations ⋮ New solution to the pressure transient equation in a two-layer reservoir with crossflow

Cites Work

• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• On integral equations of the first kind with logarithmic kernels
• Particular solutions of Laplace's equations on polygons and new models involving mild singularities
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
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