3 papers
math.NA2026
Meshfree GMsFEM-based exponential integration for multiscale 3D advection-diffusion problems
Djulustan Nikiforov, Leonardo A. Poveda, Dmitry Ammosov +3
In this work, we extend the meshfree generalized multiscale exponential integration framework introduced in Nikiforov et al. (2025) to the simulation of three-dimensional advection…
math.NA2024
Meshfree Generalized Multiscale Exponential Integration Method for Parabolic Problems
Djulustan Nikiforov, Leonardo A. Poveda, Dmitry Ammosov +2
This paper considers flow problems in multiscale heterogeneous porous media. The multiscale nature of the modeled process significantly complicates numerical simulations due to the…
math.NA2024
Meshfree multiscale method with partially explicit time discretization
Djulustan Nikiforov
In this paper, a multiscale approach with partially explicit time discretization is proposed. The idea is to use a partially explicit time scheme, considering a filtration problem…