1 citations · 1 across the 5 of their papers we have counts for
5 papers
Propagation of Waves from Finite Sources Arranged in Line Segments within an Infinite Triangular Lattice
David Kapanadze, Zurab Vashakidze
This paper examines the propagation of time-harmonic waves in a two-dimensional triangular lattice with a lattice constant . The sources are positioned along line segments w…
Exterior diffraction problems for a triangular lattice
David Kapanadze, Ekaterina Pesetskaya
Exterior Dirichlet problems for two-dimensional lattice waves on the semi-infinite triangular lattice are considered. Namely, we study Dirichlet problems for the two-dimensional di…
Half-plane diffraction problems on a triangular lattice
David Kapanadze, Ekaterina Pesetskaya
We investigate thin-slit diffraction problems for two-dimensional lattice waves. The peculiar structure allows us to consider the problems on the semi-infinite triangular lattice,…
Exact solution to a nonlinear heat conduction problem in doubly periodic 2D composite materials
David Kapanadze, Gennady Mishuris, Ekaterina Pesetskaya
An analytic solution to a stationary heat conduction problem in 2D unbounded doubly periodic composite materials with temperature dependent conductivities of their components is gi…
Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials
David Kapanadze, Gennady Mishuris, Ekaterina Pesetskaya
We consider a boundary value problem in unbounded 2D doubly periodic composite with circular inclusions having arbitrary constant conductivities. By introducing complex potentials,…