3 papers
math.NA2024
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…
math.NA2023
Multicontinuum homogenization. General theory and applications
E. Chung, Y. Efendiev, J. Galvis +1
In this paper, we discuss a general framework for multicontinuum homogenization. Multicontinuum models are widely used in many applications and some derivations for these models ar…
math.NA2022
Finite difference and finite element methods for partial differential equations on fractals
Fernando Contreras, Juan Galvis
In this paper, we present numerical procedures to compute solutions of partial differential equations posed on fractals. In particular, we consider the strong form of the equation…