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Application of the numerically obtained fundamental solutions in the field point-source method
Advanced Engineering Research, 2016 The work objective is to obtain an integral equation by which, using the known fundamental solution to the other equation, it is possible to find a fundamental solution to the linear elliptic equation. The concept of a numerical fundamental solution (NFS)
Sergey Yu. Knyazev +1 more
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Modeling the elastic strain fields by point-source method
Advanced Engineering Research, 2015 The aim is to study the efficiency of numerical models of elastic stress fields in deformed solids. The field point-source method (PSM) designated as the method of fundamental solutions (MFS) in the foreign literature is used when creating these models ...
Sergey Yuryevich Knyazev +2 more
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Modeling of three-dimensional elastic strain fields by point-source method
Advanced Engineering Research, 2015 The work objective is to investigate the possibility and efficiency of three-dimensional numerical models of the elastic stress fields in the deformed solids.
Sergey Yu. Knyazev +3 more
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Solving eigenvalues problems for Helmholtz equation by point-source method
Advanced Engineering Research, 2016 A method of problem solution of the eigenvalues and eigenfunctions for the Helmholtz equation in the domains with arbitrary configuration is worked out.
Elena E. Shcherbakova
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Advanced Engineering Research, 2017 Introduction. The work objective is to develop a new universal numerical method for solving boundary value problems for linear elliptic equations. Materials and Methods .
Sergey Yu. Knyazev +1 more
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