A Localized Version of the Method of Fundamental Solutions in a Multi-level Context [PDF]
Periodica Polytechnica Civil Engineering, 2023 The Method of Fundamental Solutions is applied to the Laplace equation. Instead of using the traditional approach with external source points and boundary collocation points, the original domain decomposed into a lot of smaller, overlapping subdomains, and the Method of Fundamental Solutions is used to the individual local subdomains. After eliminating
Gáspár, Csaba
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Gaussian Process Regression for Data Fulfilling Linear Differential Equations with Localized Sources [PDF]
Entropy, 2020 Specialized Gaussian process regression is presented for data that are known to fulfill a given linear differential equation with vanishing or localized sources.
Christopher G. Albert, Katharina Rath
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
, 2012 This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +7 more
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Constructive proofs for localized radial solutions of semilinear elliptic systems on $\mathbb{R}^d$ [PDF]
, 2023 Ground state solutions of elliptic problems have been analyzed extensively in the theory of partial differential equations, as they represent fundamental spatial patterns in many model equations. While the results for scalar equations, as well as certain
Hénot, Olivier +2 more
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Stress analysis of elastic bi-materials by using the localized method of fundamental solutions
AIMS Mathematics, 2021 <abstract> <p>The localized method of fundamental solutions belongs to the family of meshless collocation methods and now has been successfully tried for many kinds of engineering problems. In the method, the whole computational domain is divided into a set of overlapping local subdomains where the classical method of fundamental ...
Juan Wang +3 more
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A thermo-mechanically consistent Burnett regime continuum flow equation without Chapman-Enskog expansion [PDF]
, 2013 Chapman-Enskog expansion is the orthodox approach to derive continuum flow models from Boltzmann’s kinetic equation for dilute gases. Beyond the Navier-Stokes-Fourier order, these models known as Burnett hydrodynamic-regime equations violate a number of ...
Dadzie, Kokou, Dadzie, Kokou; id_orcid
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Granular Crystals: Controlling Mechanical Energy with Nonlinearity and Discreteness [PDF]
, 2011 The presence of structural discreteness and periodicity can affect the propagation of phonons, sound, and other mechanical waves. A fundamental property of many of the periodic structures and materials designed for this purpose is the presence of ...
Boechler, Nicholas Sebastian
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AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zengtao Chen, Fajie Wang
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Damage analysis and fracture toughness evaluation in a thin woven composite laminate under static tension using infrared thermography [PDF]
, 2013 This work deals with the issue of damage growth in thin woven composite laminates subjected to tensile loading. The conducted tensile tests were monitored on-line with an infrared camera, and tested specimens were analysed using Scanning Electron ...
Margueres, Philippe +9 more
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