[图书][B] Wave scattering by small bodies of arbitrary shapes

AG Ramm - 2005 - Springer
The theory of wave scattering by small bodies was initiated by Rayleigh (1871). Thompson
(1893) was the first to understand the role of magnetic dipole radiation. Since then, many …

Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data

M Ikehata - Inverse Problems, 1999 - iopscience.iop.org
We consider a reconstruction problem of the shape of an unknown open set D in a two-
dimensional bounded domain from the Cauchy data on of a nonconstant solution u of the …

An efficient singular superposition technique for cavity detection and shape optimization

E Divo, AJ Kassab, F Rodriguez - Numerical Heat Transfer, Part B …, 2004 - Taylor & Francis
A method is presented for the efficient solution of the inverse geometric problem of detection
of subsurface cavities and flaws using thermographic techniques. Here, a superposition of …

Detection of cavities using the method of fundamental solutions

A Karageorghis, D Lesnic - Inverse Problems in Science and …, 2009 - Taylor & Francis
The determination of the boundary of a cavity, defined here as a perfectly insulated
inclusion, within a conducting medium from a single voltage and current flux measurements …

Cubic spline anchored grid pattern algorithm for high-resolution detection of subsurface cavities by the IR-CAT method

AJ Kassab, JE Pollard - Numerical Heat Transfer, 1994 - Taylor & Francis
An algorithm is presented for the high-resolution detection of irregular-shaped subsurface
cavities within irregular-shaped bodies by the IR-CAT method. The theoretical basis of the …

Integral equations method for solving a Biharmonic inverse problem in detection of Robin coefficients

A Hadj, H Saker - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, we are interested in an inverse problem for the biharmonic equation to recover
the Robin coefficients on a non-accessible part of the boundary in simply connected planar …

[图书][B] Inverse logarithmic potential problem

VG Cherednichenko - 2014 - books.google.com
Page 1 INVERSE AND ILL-POSED PROBLEMS SERIES Inverse Logarithmic Potential Problem
Page 2 Previously published in the Inverse and III-Posed Problems Series: Inverse Problems for …

Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems

A Karageorghis, D Lesnic, L Marin - Inverse Problems in Science …, 2014 - Taylor & Francis
We propose the use of the collocation Trefftz method for the solution of inverse geometric
problems and, in particular, the determination of the boundary of a void. As was the case in …

Nondestructive cavity identification in structures

H Shun-Chieh, M Toshio - International journal of solids and structures, 1993 - Elsevier
An algorithm for solving an inverse problem in elastostatics is developed. In this problem,
the location and shape of the cavity are unknown. Instead, extra experimental data are …

Boundary reconstruction in two-dimensional steady-state anisotropic heat conduction

L Marin, AT Pantea - Numerical Algorithms, 2024 - Springer
We study the reconstruction of an unknown/inaccessible smooth inner boundary from the
knowledge of the Dirichlet condition (temperature) on the entire boundary of a doubly …