18 citations · 18 across the 3 of their papers we have counts for
3 papers
Variational formulations of transport phenomena on combinatorial meshes
Kiprian Berbatov, Andrey P. Jivkov
We develop primal and mixed variational formulations of transport phenomena on cell complexes with simple polytope connectivity. This framework addresses materials with internal st…
Calculus with combinatorial differential forms for fluid flow analysis in porous and fractured media
Changhao Liu, Kiprian Berbatov, Majid Sedighi +1
The fabric of porous and fractured media contains solid regions (grains) and voids. The space conducting fluids is a system of connected voids with variable geometries. Relative to…
Diffusion in multi-dimensional solids using Forman's combinatorial differential forms
Kiprian Berbatov, Pieter D. Boom, Andrew L. Hazel +1
The formulation of combinatorial differential forms, proposed by Forman for analysis of topological properties of discrete complexes, is extended by defining the operators required…