149 citations · 414 across the 23 of their papers we have counts for
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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…
math.NA2012★ 34 cited
Energy consistent DG methods for the Navier-Stokes-Korteweg system
Jan Giesselmann, Charalambos Makridakis, Tristan Pryer
We design consistent discontinuous Galerkin finite element schemes for the approximation of the Euler-Korteweg and the Navier-Stokes-Korteweg systems. We show that the scheme for t…