The Resistive and Conductive Problems for the Exterior Helmholtz Equation

DOI10.1137/0150095zbMath0724.35032OpenAlexW2026996912MaRDI QIDQ5758553

Frank Hettlich, Ralph E. Kleinman, Thomas S. Angell

Publication date: 1990

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0150095

zbMATH Keywords

existenceuniquenessacoustic scatteringHelmholtz equationcontinuous dependence

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)

Related Items (12)

Uniqueness of the inverse transmission scattering with a conductive boundary condition ⋮ Reconstruction algorithms of an inverse conductive scattering problem for the Helmholtz equation ⋮ Discontinuous Galerkin method for the Helmholtz transmission problem in two-level homogeneous media ⋮ Numerical methods for direct and inverse problems in acoustics and photothermal science ⋮ Inverse problems of 3D ultrasonic tomography with complete and incomplete range data ⋮ The direct scattering problem for penetrable obstacles included in a cavity ⋮ Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem ⋮ Boundary element simulation of thermal waves ⋮ A system of boundary integral equations for the transmission problem in acoustics ⋮ Boundary element simulation of thermal waves ⋮ Schwarz-type lemmas associated to a Helmholtz equation ⋮ Generalized impedance boundary conditions for the maxwell equations as singular perturbations problems

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