48 citations · 139 across the 10 of their papers we have counts for
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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…
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…
A Geometric Formulation of Linear Elasticity Based on Discrete Exterior Calculus
Pieter D. Boom, Odysseas Kosmas, Lee Margetts +1
A direct formulation of linear elasticity of cell complexes based on discrete exterior calculus is presented. The primary unknown are displacements, represented by primal vector-va…