On an approximate solution of a class of boundary integral equations of the first kind

DOI10.1134/S0012266116090147zbMath1359.65279MaRDI QIDQ507721

Elnur H. Khalilov

Publication date: 7 February 2017

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemerror estimatesHelmholtz equationcollocationhypersingular integral operatorcubature estimatesfirst kind boundary integral equationsecond kind Fredholm integral operators

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

A QUADRATURE FORMULA FOR THE DERIVATIVE OF LOGARITHMIC POTENTIALS ⋮ ON THE DERIVATIVE OF THE DOUBLE-LAYER LOGARITHMIC POTENTIAL ⋮ ИССЛЕДОВАНИЕ ПРИБЛИЖЕННОГО РЕШЕНИЯ НЕКОТОРЫХ КЛАССОВ ПОВЕРХНОСТНЫХ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ ПЕРВОГО РОДА ⋮ Properties of the Operator Generated by the Derivative of the Acoustic Single Layer Potential ⋮ Substantiation of the collocation method for one class of systems of integral equations ⋮ Constructive method for solving a boundary value problem with impedance boundary condition for the Helmholtz equation

Cites Work

• Some properties of the operators generated by a derivative of the acoustic double layer potential
• Curved finite element methods for the solution of singular integral equations on surfaces in \(R^3\)
• A finite element method for some integral equations of the first kind
• Potential-based numerical solution of Dirichlet problems for the Helmholtz equation
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
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