Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Numerical results"
Now showing items 1-9 of 9
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Article
Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains
(2013)We consider a two-dimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will contain boundary layers only in the part of ...
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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 problems in static thermo-elasticity with incomplete boundary data
(2017)An inverse problem in static thermo-elasticity is investigated. The aim is to reconstruct the unspecified boundary data, as well as the temperature and displacement inside a body from over-specified boundary data measured ...
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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 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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Conference Object
Performance of GMRES for the MFS
(2009)In this work we present some preliminary numerical results regarding the performance of the Generalized Minimal Residual (GMRES) method when it is applied to the solution of the linear systems arising from the discretization ...
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Article
Robust approximation of singularly perturbed delay differential equations by the hp finite element method
(2013)We consider the finite element approximation of the solution to a singularly perturbed second order differential equation with a constant delay. The boundary value problem can be cast as a singularly perturbed transmission ...
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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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Conference Object
Solution of viscoplastic flows with the finite volume / multigrid method
(National Technical University of Athens, 2013)We investigate the performance of the finite volume method in solving viscoplastic flows. The square lid-driven cavity flow of a Bingham plastic is chosen as the test case and the constitutive equation is regularised as ...