4 papers · 1 filter
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…
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…
Generalized multiscale finite element method for a nonlinear elastic strain-limiting Cosserat model
Dmitry Ammosov, Tina Mai, Juan Galvis
For nonlinear Cosserat elasticity, we consider multiscale methods in this paper. In particular, we explore the generalized multiscale finite element method (GMsFEM) to solve an iso…
A second-order exponential integration constraint energy minimizing generalized multiscale method for parabolic problems
Leonardo A. Poveda, Juan Galvis, Eric Chung
This paper investigates an efficient exponential integrator generalized multiscale finite element method for solving a class of time-evolving partial differential equations in boun…