13 citations
15 papers
On a semi-discrete model of Maxwell's equations in three and two dimensions
Volodymyr Sushch
In this paper, we develop a geometric, structure-preserving semi-discrete formulation of Maxwell's equations in both three- and two-dimensional settings within the framework of dis…
2D discrete Yang-Mills equations on the torus
Volodymyr Sushch
In this paper, we introduce a discretization scheme for the Yang-Mills equations in the two-dimensional case using a framework based on discrete exterior calculus. Within this fram…
2D discrete Hodge-Dirac operator on the torus
Volodymyr Sushch
We discuss a discretisation of the de Rham-Hodge theory in the two-dimensional case based on a discrete exterior calculus framework. We present discrete analogues of the Hodge-Dira…
Electronic structure and elastic properties of CdSeTe solid state solution: first principles study
A. I. Kashuba, B. Andriyevsky, H. A. Ilchuk +3
The electronic band structure and elastic properties of the CdSeTe solid state solution in the framework of the density functional theory calculations are investi…
Chiral properties of discrete Joyce and Hestenes equations
Volodymyr Sushch
This paper concerns the question of how chirality is realized for discrete counterparts of the Dirac-Kähler equation in the Hestenes and Joyce forms. It is shown that left and righ…
A discrete version of plane wave solutions of the Dirac equation in the Joyce form
Volodymyr Sushch
We construct a discrete version of the plane wave solution to a discrete Dirac-Kähler equation in the Joyce form. A geometric discretisation scheme based on both forward and backwa…