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Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.04.004
Abstract: Abstract The method of fundamental solutions (MFS) was first used by Kupradze in 1963 [21] . Since then, there have appeared numerous reports of the MFS. Most of the existing analysis for the MFS are…
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Keywords:
fundamental solutions;
analysis;
method fundamental;
problems laplace ... See more keywords
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Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2018.01.007
Abstract: Abstract In this work, we propose an algorithm, which combines the Method of Fundamental Solutions (MFS) and the Asymptotic Numerical Method (ANM), to solve two-dimensional nonlinear elastic problems. Thanks to the development in Taylor series,…
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Keywords:
elastic problems;
fundamental solutions;
solutions high;
high order ... See more keywords
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Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2018.07.008
Abstract: Abstract Despite all the efforts and success for finding the optimal location of the sources outside the domain for the method of fundamental solutions (MFS), this issue continues to attract the attention from researchers for…
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Keywords:
fundamental solutions;
selection sources;
algorithm selection;
method fundamental ... See more keywords
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Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2018.11.001
Abstract: Abstract Approximate fundamental solutions (AFS) are designed to be similar to fundamental solutions but without singularities. They have been used in the context of the Method of Fundamental Solutions and for problems of Stokes flow…
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Keywords:
use approximate;
fundamental solutions;
regularized stokeslets;
method fundamental ... See more keywords
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Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2019.03.006
Abstract: Abstract The traditional Method of Fundamental Solutions is revisited, based on a special strategy of defining the external source points. Unlike the classical Method of Fundamental Solutions, the sources are categorized into groups; the density…
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Keywords:
method;
fundamental solutions;
method fundamental;
multi level ... See more keywords
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Published in 2020 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2020.04.014
Abstract: Abstract In this paper we will present a formulation for solving elastodynamic problems in 2D using the method of fundamental solutions (MFS). The governing equation for the displacement in the elastodynamic problem is expressed by…
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Keywords:
fundamental solutions;
analysis;
method fundamental;
solution ... See more keywords
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Published in 2021 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2021.01.008
Abstract: Abstract The purpose of the presented paper is to develop further the Localized Method of Fundamental Solutions (LMFS) for solving two-dimensional anisotropic elasticity problems. The computational domain is divided into overlapping subdomains. In the LMFS,…
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Keywords:
localized method;
anisotropic elasticity;
dimensional anisotropic;
fundamental solutions ... See more keywords
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Published in 2021 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2021.03.020
Abstract: Abstract The collocation version of the Method of Fundamental Solutions (MFS) with subdomains is introduced in the present work for the solution of the 2D Stokes flow in backward-facing-step geometry, including Dirichlet and Neumann boundary…
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Keywords:
subdomain technique;
fundamental solutions;
method fundamental;
technique ... See more keywords
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Published in 2021 at "Theoretical and Applied Fracture Mechanics"
DOI: 10.1016/j.tafmec.2021.103078
Abstract: Abstract In this paper we study the application of the method of fundamental solutions (MFS) to interface crack analysis in linear elastic bimaterial fracture mechanics. Such problem presents some modelling difficulties because of the oscillatory…
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Keywords:
fundamental solutions;
method;
method fundamental;
fracture mechanics ... See more keywords
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Published in 2017 at "Thermochimica Acta"
DOI: 10.1016/j.tca.2017.02.005
Abstract: The research leading to these results has received funding from the European Commission Seventh Framework Programme (FP/2007-2013) and under Grant agreement NoPIRSES-GA-2013-610692 (INNOSTORAGE), and from the European Union’s Horizon 2020 research and innovation programme under…
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Keywords:
history method;
research;
critical analysis;
fundamental approach ... See more keywords
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Published in 2017 at "Geomatics, Natural Hazards and Risk"
DOI: 10.1080/19475705.2017.1310765
Abstract: ABSTRACT According to geodetic research works, surface deformation in the form of uplift or subsidence in volcanic areas is either a sign of magma moving towards the opening of the volcano (inflation) or removal of…
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Keywords:
fundamental solutions;
volcano;
cerro blanco;
deformation ... See more keywords