Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Gerasimov, Tymofiy"'
This paper is intended to serve as a low-hurdle introduction to non-locality for graduate students and researchers with an engineering mechanics or physics background who did not have a formal introduction to the underlying mathematical basis. We dep
Externí odkaz:
http://arxiv.org/abs/2306.15674
Autor:
Gerasimov, Tymofiy, De Lorenzis, Laura
We address brittle fracture in anisotropic materials featuring two-fold and four-fold symmetric fracture toughness. For these two classes, we develop two variational phase-field models based on the family of regularizations proposed by Focardi (Focar
Externí odkaz:
http://arxiv.org/abs/2107.13280
Autor:
Gerasimov, Tymofiy, Römer, Ulrich, Vondřejc, Jaroslav, Matthies, Hermann G., De Lorenzis, Laura
In variational phase-field modeling of brittle fracture, the functional to be minimized is not convex, so that the necessary stationarity conditions of the functional may admit multiple solutions. The solution obtained in an actual computation is typ
Externí odkaz:
http://arxiv.org/abs/2005.01332
Autor:
Gerasimov, Tymofiy, De Lorenzis, Laura
Irreversible evolution is one of the central concepts as well as implementation challenges of both the variational approach to fracture by Francfort and Marigo (1998) and its regularized counterpart by Bourdin, Francfort and Marigo (2000, 2007 and 20
Externí odkaz:
http://arxiv.org/abs/1811.05334
In this paper the $h$-adaptive partition-of-unity method and the $h$- and $hp$-adaptive finite element method are applied to partial differential equations arising in quantum mechanics, namely, the Schr\"odinger equation with Coulomb and harmonic pot
Externí odkaz:
http://arxiv.org/abs/1612.02305
Autor:
Gerasimov, Tymofiy, De Lorenzis, Laura
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 February 2022 389
Publikováno v:
SIAM Journal on Numerical Analysis, 2012 Jan 01. 50(3), 1604-1623.
Externí odkaz:
http://dx.doi.org/10.1137/100806151
Publikováno v:
Computational Mechanics. Feb2015, Vol. 55 Issue 2, p383-405. 23p.
Publikováno v:
Computational Mechanics. Aug2013, Vol. 52 Issue 2, p361-376. 16p. 2 Black and White Photographs, 2 Diagrams, 17 Graphs.
Autor:
GERASIMOV, TYMOFIY1 t.gerasimov@tudelft.nl, SWEERS, GUIDO2 gsweers@math.uni-koeln.de
Publikováno v:
Electronic Journal of Differential Equations. 2009, Vol. 2009, Special section p1-54. 54p. 7 Diagrams, 2 Charts, 1 Graph.