3 papers
math.NA2024
High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
Rodolfo Bermejo, Manuel Colera
We introduce in this paper the numerical analysis of high order both in time and space Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equatio…
math.NA2023
New error estimates of Lagrange-Galerkin methods for the advection equation
Rodolfo Bermejo, Jaime Carpio, Laura Saavedra
We study in this paper new developments of the Lagrange-Galerkin method for the advection equation. In the first part of the article we present a new improved error estimate of the…
math.NA2021
Numerical analysis of a finite element formulation of the P2D model for Lithium-ion cells
Rodolfo Bermejo
The mathematical P2D model is a system of strongly coupled nonlinear parabolic-elliptic equations that describes the electrodynamics of lithium-ion batteries. In this paper, we pre…