Denis Pilipenko

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The phase field method is a very powerful numerical method to solve moving boundary problems. Here we demonstrate how it can be applied to various processes involving sound propagation and fracture. This approach is related to a new theory of fracture which describes in particular the fast growth of cracks. We study the propagation of elastic waves, the(More)
An approach to solve numerically transport equations for plasmas with spontaneously arising and arbitrarily located transport barriers, regions with a strongly reduced transfer of energy, is proposed. The transport equations are written in a form conserving heat flux and solved numerically by using piecewisely exact analytical solutions of linear(More)
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