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Computational identification of the source domain in an inverse problem of potential theory
P. N. Vabishchevich
The inverse potential problem consists in determining the density of the volume potential from measurements outside the sources. Its ill-posedness is due both to the non-uniqueness…
Numerical solution of 2D boundary value problems on merged Voronoi-Delaunay meshes
M. M. Chernyshov, P. N. Vabishchevich
Computational technologies for the approximate solution of multidimensional boundary value problems often rely on irregular computational meshes and finite-volume approximations. I…
Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium
P. N. Vabishchevich
In homogenization theory, mathematical models at the macro level are constructed based on the solution of auxiliary cell problems at the micro level within a single periodicity cel…
Numerical solution of BVP for the incompressible Navier-Stokes equations at large Reynolds numbers
D. V. Lomasov, P. N. Vabishchevich
The problems of numerical modeling of viscous incompressible fluid flows are widely considered in computational fluid dynamics. Stationary solutions of boundary value problems for…