Browsing by Subject "Inverse problems"
Now showing items 21-32 of 32
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Article
A moving pseudo-boundary method of fundamental solutions for void detection
(2013)We propose a new moving pseudo-boundary method of fundamental solutions (MFS) for the determination of the boundary of a void. This problem can be modeled as an inverse boundary value problem for harmonic functions. The ...
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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 ...
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Article
A numerical study of the SVDMFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity
(2015)We study the reconstruction of the missing thermal and mechanical data on an inaccessible part of the boundary in the case of two-dimensional linear isotropic thermoelastic materials from overprescribed noisy measurements ...
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Conference Object
Primal and dual problems in electrical impedance imaging
(2005)Ill-posed inverse boundary value problems are usually approached as problems of inference under a given set of boundary observations. The parameters and data are modelled as random variables so that to encompass the ...
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Article
Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems
(2014)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 the solution of such problems using ...
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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
Simultaneous numerical determination of a corroded boundary and its admittance
(2015)In this paper, an inverse geometric problem for Laplace’s equation arising in boundary corrosion detection is considered. This problem, which consists of determining an unknown corroded portion of the boundary of a bounded ...
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Article
Structural modification. Part 1: Rotational receptances
(2005)The inverse problem of assigning natural frequencies and antiresonances by a modification to the stiffness, mass and damping of a structure is addressed. Very simple modifications such as the addition of masses and grounded ...
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Article
Structural modification. Part 2: Assignment of natural frequencies and antiresonances by an added beam
(2005)In this paper the inverse structural modification problem is solved in order to determine the dimensions of the cross-section of a beam that when added to an original structure will assign natural frequencies or antiresonances ...
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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 ...
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Conference Object
Vibration Measurement of Occupational Exposed Workers, Experimental Quantification of the Individual Response Parameters for the Estimation of Uncertainty in the Vertical Direction
(American Society of Civil Engineers (ASCE), 2014)The exposure of seated people to whole body vibration has been extensively researched and modelled during the past two decades. The trend is to use the average biodynamic responses. This paper investigates the relation of ...
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Article
Wavelet analysis and its statistical applications
(2000)In recent years there has been a considerable development in the use of wavelet methods in statistics. As a result, we are now at the stage where it is reasonable to consider such methods to be another standard tool of the ...