3 papers
math.NA2026
Multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM). Theory and applications to upscaling of two-phase flow
Mohammed Al Kobaisi, Dmitry Ammosov, Yalchin Efendiev +1
We develop a multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM) for constructing coarse-scale models in heterogeneous media that simultaneously provide accurat…
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…