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math-ph2022
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,…
math-ph2013
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,…