3 papers
math.GM2026
Incidence-based Combinatorial Geometry on Cell Complexes
Andrey P. Jivkov, Muhammad Azeem, Aneirin Griffiths +1
Combinatorial Mesh Calculus (CMC) formulates conservation laws directly on cell complexes using combinatorial differential forms and their cochain representations. This note develo…
physics.app-ph2026
Analysis of heat transfer and water flow with phase change in saturated porous media by bond-based peridynamics
Petr Nikolaev, Majid Sedighi, Andrey P Jivkov +1
A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. f…
math-ph2026
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…