Browsing by Subject "Method of fundamental solutions (MFS)"
Now showing items 1-10 of 10
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A matrix decomposition MFS algorithm for biharmonic problems in annular domains
(2004)The Method of Fundamental Solutions (MFS) is a boundary-type method for the solution of certain elliptic boundary value problems. In this work, we develop an efficient matrix decomposition MFS algorithm for the solution ...
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Article
A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains
(2006)In this work we apply the Method of Fundamental Solutions (MFS) with fixed singularities and boundary collocation to certain axisymmetric harmonic and biharmonic problems. By exploiting the block circulant structure of the ...
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Article
The method of fundamental solutions for inhomogeneous elliptic problems
(1998)We investigate the use of the Method of Fundamental Solutions (MFS) for solving inhomogeneous harmonic and biharmonic problems. These are transformed to homogeneous problems by subtracting a particular solution of the ...
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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
Methods of fundamental solutions for harmonic and biharmonic boundary value problems
(1998)In this work, the use of the Method of Fundamental Solutions (MFS) for solving elliptic partial differential equations is investigated, and the performance of various least squares routines used for the solution of the ...
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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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Article
The MFS-MPS for two-dimensional steady-state thermoelasticity problems
(2013)We consider the numerical approximation of the boundary and internal thermoelastic fields in the case of two-dimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...
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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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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 ...