Articles with "method fundamental" as a keyword



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Neumann problems of 2D Laplace's equation by method of fundamental solutions

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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… read more here.

Keywords: fundamental solutions; analysis; method fundamental; problems laplace ... See more keywords
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Method of fundamental solutions and high order algorithm to solve nonlinear elastic problems

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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,… read more here.

Keywords: elastic problems; fundamental solutions; solutions high; high order ... See more keywords
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The adaptive algorithm for the selection of sources of the method of fundamental solutions

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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… read more here.

Keywords: fundamental solutions; selection sources; algorithm selection; method fundamental ... See more keywords
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On the use of approximate fundamental solutions: Connections with the method of fundamental solutions and the method of regularized stokeslets

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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… read more here.

Keywords: use approximate; fundamental solutions; regularized stokeslets; method fundamental ... See more keywords
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A multi-level technique for the Method of Fundamental Solutions without regularization and desingularization

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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… read more here.

Keywords: method; fundamental solutions; method fundamental; multi level ... See more keywords
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Two-dimensional elastodynamic and free vibration analysis by the method of fundamental solutions

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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… read more here.

Keywords: fundamental solutions; analysis; method fundamental; solution ... See more keywords
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Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems

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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,… read more here.

Keywords: localized method; anisotropic elasticity; dimensional anisotropic; fundamental solutions ... See more keywords
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The method of fundamental solutions for the Stokes flow with the subdomain technique

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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… read more here.

Keywords: subdomain technique; fundamental solutions; method fundamental; technique ... See more keywords
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Fracture mechanics analysis of bimaterial interface cracks using an enriched method of fundamental solutions: Theory and MATLAB code

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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… read more here.

Keywords: fundamental solutions; method; method fundamental; fracture mechanics ... See more keywords
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Critical analysis of the T-history method: A fundamental approach

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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… read more here.

Keywords: history method; research; critical analysis; fundamental approach ... See more keywords
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Determination of Cerro Blanco volcano deformation field using method of fundamental solutions

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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… read more here.

Keywords: fundamental solutions; volcano; cerro blanco; deformation ... See more keywords