6 papers
A variant of the Raviart-Thomas method to handle smooth domains using straight-edged triangles. Part II -- Approximation results
Fleurianne Bertrand, Vitoriano Ruas
In arXiv:2307.03503 [math.NA] we commenced to study a variant of the Raviart-Thomas mixed finite element method for triangles, to solve second order elliptic equations in a curved…
Least-Squares finite element method for the simulation of sea-ice motion
Fleurianne Bertrand, Henrik Schneider
A nonlinear sea-ice problem is considered in a least-squares finite element setting. The corresponding variational formulation approximating simultaneously the stress tensor and th…
Approximation of the Maxwell eigenvalue problem in a Least-Squares setting
Fleurianne Bertrand, Daniele Boffi, Lucia Gastaldi
We discuss the approximation of the eigensolutions associated with the Maxwell eigenvalues problem in the framework of least-squares finite elements. We write the Maxwell curl curl…
Contact problems in porous media
L. Banz, F. Bertrand
The Biot problem of poroelasticity is extended by Signorini contact conditions. The resulting Biot contact problem is formulated and analyzed as a two field variational inequality…
Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression
Fleurianne Bertrand, Daniele Boffi, Abdul Halim
In this article, we propose a data-driven reduced basis (RB) method for the approximation of parametric eigenvalue problems. The method is based on the offline and online paradigms…
On the matching of eigensolutions to parametric partial differential equations
Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi +3
In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one…