Browsing by Subject "Regularization"
Now showing items 1-10 of 10
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Article
Estimation of rotational frequency responses
(2003)Rotational frequency response functions are potentially valuable for structural damage detection but are difficult to obtain because of the practical problems of applying a pure moment. In the literature various indirect ...
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Article
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 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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Article
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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Conference Object
The MFS for the detection of inner boundaries in linear elasticity
(2011)We propose a nonlinear minimization method of fundamental solutions for the detection (shape, size and location) of unknown inner boundaries corresponding to either a rigid inclusion or a cavity inside a linear elastic ...
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Article
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
The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional stokes flow
(2010)In this paper we consider a geometric inverse problem which requires detecting an unknown obstacle such as a submarine or an aquatic mine immersed in a Stokes slow viscous stationary flow of an incompressible fluid, from ...
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Article
Regularized MFS solution of inverse boundary value problems in three-dimensional steady-state linear thermoelasticity
(2016)We investigate the numerical reconstruction of the missing thermal and mechanical boundary conditions on an inaccessible part of the boundary in the case of three-dimensional linear isotropic thermoelastic materials from ...
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Article
Regularized MFS-Based boundary identification in two-dimensional Helmholtz-type equations
(2009)We study the stable numerical identification of an unknown portion of the boundary on which a given boundary condition is provided and additional Cauchy data are given on the remaining known portion of the boundary of a ...
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Article
A survey of applications of the MFS to inverse problems
(2011)The method of fundamental solutions (MFS) is a relatively new method for the numerical solution of boundary value problems and initial/boundary value problems governed by certain partial differential equations. The ease ...