Publications (5)
A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L ^\infty -Coefficients
M. Weymuth, S. Sauter, S. Repin
We consider elliptic problems with complicated, discontinuous diffusion tensor . One of the standard approaches to numerically treat such problems is to…
Perihelion precession and deflection of light in gravitational field of wormholes
V. Strokov, S. Repin
Quite exotic relativistic objects known as wormholes are hypothetical candidates for central machine of active galactic nuclei as well as black holes. We find the magnitude of the…
Rank structured approximation method for quasi--periodic elliptic problems
B. Khoromskij, S. Repin
We consider an iteration method for solving an elliptic type boundary value problem , where a positive definite operator is generated by a quasi--per…
Poincaé type inequalities for vector functions with zero mean normal traces on the boundary and applications to interpolation methods
S. Repin
In the paper, we consider inequalities of the Poincaré--Steklov type for subspaces of -functions defined in a bounded domain $Ω\in \Rd$ with Lipschitz boundary .…
Two-sided estimates of the solution set for the reaction-diffusion problem with uncertain data
O. Mali, S. Repin
We consider linear reaction--diffusion problems with mixed Diriclet-Neumann-Robin conditions. The diffusion matrix, reaction coefficient, and the coefficient in the Robin boundary…