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math.NA2019
Approximations of energy minimization in cell-induced phase transitions of fibrous biomaterials: -convergence analysis
Georgios Grekas, Konstantinos Koumatos, Charalambos Makridakis +1
We consider a model of energy minimization arising in the study of the mechanical behavior caused by cell contraction within a fibrous biological medium. The macroscopic model is b…
math.NA2012★ 3 cited
On atomistic-to-continuum couplings without ghost forces in three dimensions
Charalambos Makridakis, Dimitrios Mitsoudis, Phoebus Rosakis
In this paper we construct energy based numerical methods free of ghost forces in three dimensional lattices arising in crystalline materials. The analysis hinges on establishing a…