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.NA2025
Edge multiscale finite element methods for semilinear parabolic problems with heterogeneous coefficients
Leonardo A. Poveda, Shubin Fu, Guanglian Li +1
We develop a new spatial semidiscrete multiscale method based upon the edge multiscale methods to solve semilinear parabolic problems with heterogeneous coefficients and smooth ini…
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…