Convergence of the T-matrix approach in scattering theory. II

DOI10.1063/1.525635zbMath0536.35059OpenAlexW1990240596MaRDI QIDQ3320780

Gerhard Kristensson, Staffan Ström, Alexander G. Ramm

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525635

zbMATH Keywords

convergenceDirichlet boundary conditionHelmholtz equationnumerical schemesmall perturbationsT-matrixexterior scattering problempenetrable scatterer

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (6)

Scattering of elastic waves by non-planar cracks ⋮ Numerical solution of integral equations in a space of distributions ⋮ Diffraction of waves by inhomogeneous obstacle ⋮ The null-field method: a reconstruction kernel approach ⋮ Calculating resonances (natural frequencies) and extracting them from transient fields ⋮ On connections between boundary integral equations and \(T\)-matrix methods.

Cites Work

• Acoustic scattering and radiation problems, and the null-field method
• Matrix theory of elastic wave scattering
• Scattering matrix for elastic waves. I. Theory
• Scattering by periodic surfaces
• New Formulation of Acoustic Scattering

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