Browsing by Subject "Inverse problem"
Now showing items 1-14 of 14
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Article
Application of the MFS to inverse obstacle scattering problems
(2011)In this paper, the method of fundamental solutions (MFS) is used to detect the shape, size and location of a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure ...
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Article
Detection of cavities using the method of fundamental solutions
(2009)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 on the accessible boundary of the medium, can ...
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Article
An inverse method to assign receptances by using classical vibration absorbers
(2009)The classical mass-spring absorber can be thought of as a very simple structural modification. In this paper the inverse problem of assigning receptances to a dynamic system by using one or more simple mass-spring absorbers ...
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Article
A meshless numerical identification of a sound-hard obstacle
(2012)We propose a simple meshless method for detecting a rigid (sound-hard) scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered near field. This inverse problem is ill-posed since ...
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Article
The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity
(2014)The inverse problem of coupled static thermo-elasticity in which one has to determine the thermo-elastic stress state in a body from displacements and temperature given on a subset of the boundary is considered. A regularized ...
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Article
The method of fundamental solutions for solving direct and inverse Signorini problems
(2015)Signorini problems model phenomena in which a known or unknown portion of the boundary is subjected to alternating Dirichlet and Neumann boundary conditions. In this paper, we apply the method of fundamental solutions (MFS) ...
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The method of fundamental solutions for the detection of rigid inclusions and cavities in plane linear elastic bodies
(2012)We investigate the numerical reconstruction of smooth star-shaped voids (rigid inclusions and cavities) which are compactly contained in a two-dimensional isotropic linear elastic body from a single non-destructive measurement ...
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Article
The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering
(2012)In this paper we propose a simple meshless method of fundamental solutions (MFS) for detecting a sound-soft scatterer embedded in a host acoustic homogeneous medium from the measurement of the far-field pattern of the ...
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Article
The method of fundamental solutions for the inverse conductivity problem
(2010)In this article, we propose a simple method for detecting an inclusion Ω2 embedded in a host electrostatic medium Ω1 from a single Cauchy pair of voltage and current flux measurements on the exterior boundary of Ω1. A ...
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Article
The MFS for numerical boundary identification in two-dimensional harmonic problems
(2011)In this study, we briefly review the applications of the method of fundamental solutions to inverse problems over the last decade. Subsequently, we consider the inverse geometric problem of identifying an unknown part of ...
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The MFS for the Cauchy problem in two-dimensional steady-state linear thermoelasticity
(2013)We study the reconstruction of the missing thermal and mechanical fields on an inaccessible part of the boundary for two-dimensional linear isotropic thermoelastic materials from over-prescribed noisy (Cauchy) data on the ...
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The MFS for the identification of a sound-soft interior acoustic scatterer
(2017)We employ the method of fundamental solutions (MFS) for detecting a sound-soft scatterer surrounding a host acoustic homogeneous medium due to a given point source inside it. The measurements are taken inside the medium ...
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Article
A moving pseudo-boundary MFS for three-dimensional void detection
(2013)We propose a new moving pseudo-boundary method of fundamental solutions (MFS) for the determination of the boundary of a three-dimensional void (rigid inclusion or cavity) within a conducting homogeneous host medium from ...
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Article
A moving pseudo-boundary MFS for void detection in two-dimensional thermoelasticity
(2014)We investigate the numerical reconstruction of smooth star-shaped voids contained in a two-dimensional isotropic linear thermoelastic material from the knowledge of a single non-destructive measurement of the temperature ...