2 papers
math.NA2025
A finite element scheme for an optimal control problem on steady Navier-Stokes-Brinkman equations
Jorge Aguayo Araneda, Julie Merten
This paper presents a rigorous finite element framework for solving an optimal control problem governed by the steady Navier-Stokes-Brinkman equations, focusing on identifying a sc…
math.NA2024
Adaptive finite element approximations of the first eigenpair associated with -Laplacian
Guanglian Li, Jing Li, Julie Merten +2
In this paper, we propose an adaptive finite element method for computing the first eigenpair of the -Laplacian problem. We prove that starting from a fine initial mesh our prop…