Constructive method for solving a boundary value problem with impedance boundary condition for the Helmholtz equation

DOI10.1134/S0012266118040109zbMath1400.35078OpenAlexW2804514861WikidataQ115250768 ScholiaQ115250768MaRDI QIDQ721910

Elnur H. Khalilov

Publication date: 20 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266118040109

zbMATH Keywords

boundary value problemHelmholtz equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

ON THE DERIVATIVE OF THE DOUBLE-LAYER LOGARITHMIC POTENTIAL, Justification of collocation method for one class of curvilinear integral equations, Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions, Justification of the collocation method for a class of surface integral equations, Approximate solution of the boundary value problem for the Helmholtz equation with impedance condition, Study of approximate solution to integral equation associated with mixed boundary value problem for Laplace equation

Cites Work

• On an approximate solution of a class of boundary integral equations of the first kind
• Justification of the collocation method for the integral equation for a mixed boundary value problem 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
• Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
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