Justification of the collocation method for a class of surface integral equations

DOI10.1134/S0001434620030335zbMath1442.35081OpenAlexW3017820389MaRDI QIDQ2192017

Elnur H. Khalilov

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620030335

zbMATH Keywords

collocation methodHelmholtz equationexterior Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (8)

A QUADRATURE FORMULA FOR THE DERIVATIVE OF LOGARITHMIC POTENTIALS ⋮ Justification of collocation method for one class of curvilinear integral equations ⋮ ИССЛЕДОВАНИЕ ПРИБЛИЖЕННОГО РЕШЕНИЯ НЕКОТОРЫХ КЛАССОВ ПОВЕРХНОСТНЫХ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ ПЕРВОГО РОДА ⋮ Analysis of approximate solution for a class of systems of integral equations ⋮ On an approximate solution of a class of systems of curvilinear integral equations ⋮ Investigation of an approximate solution of the integral equation of the exterior Dirichlet boundary value problem for the Helmholtz equation in the two-dimensional space ⋮ Justification of the collocation method for an integral equation of the exterior Dirichlet problem for the Laplace equation ⋮ Study of approximate solution to integral equation associated with mixed boundary value problem for Laplace equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some properties of the operators generated by a derivative of the acoustic double layer potential
• Justification of the collocation method for the integral equation for a mixed boundary value problem for the Helmholtz equation
• Constructive method for solving a boundary value problem with impedance boundary condition for the Helmholtz equation
• Boundary integral equations in time-harmonic acoustic scattering
• On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem
• Justification of the collocation method for a class of boundary integral equations
• Potential-based numerical solution of Dirichlet problems for the Helmholtz equation
• The collocation method for the solution of boundary integral equations
• Justification of a quadrature method for an integral equation to the external Neumann problem for the Helmholtz equation
• On certain one- and two-dimensional hypersingular integral equations

This page was built for publication: Justification of the collocation method for a class of surface integral equations