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math.NA2025★ 1 cited
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…
math.NA2025
Computational algorithm for downward continuation of gravity anomalies
D. K. Ivanov, L. N. Temirbekova, P. N. Vabishchevich
The downward continuation of potential fields from the Earth's surface into the subsurface is a critical task in gravity exploration, as it helps to identify the sources of gravity…
math.NA2025
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…