1 citations · 1 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
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…
Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media
Leonardo A. Poveda, Shubin Fu, Eric T. Chung +1
This paper presents and analyses a Constraint Energy Minimization Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving single-phase non-linear compressible flows i…
On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere
Leonardo A. Poveda, Pedro Peixoto
In this paper, we give pointwise estimates of a Voronoï-based finite volume approximation of the Laplace-Beltrami operator on Voronoï-Delaunay decompositions of the sphere. These e…
Elliptic Equations in High-Contrast Media and Applications
Leonardo A. Poveda
In this manuscript we review some recent results about approximation of solutions of elliptic problems with high-contrast coefficients. In particular, we detail the derivation of a…
Asymptotic Expansions for High-Contrast Linear Elasticity
Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo +1
We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous ela…
Localized Harmonic Characteristic Basis Functions for Multiscale Finite Element Methods
Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo +1
We solve elliptic systems of equations posed on highly heterogeneous materials. Examples of this class of problems are composite structures and geological processes. We focus on a…