Fleurianne Bertrand

Publication Activity (10 Years)

Years Active: 2014-2024
Publications (10 Years): 42

Top Topics

Error Estimation

Eigenvalue Problems

Top Venues

Comput. Methods Appl. Math.

Comput. Math. Appl.

SIAM J. Numer. Anal.

Publications

Riccardo Bardin, Fleurianne Bertrand, Olena Palii, Matthias Schlottbom
A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry. Comput. Methods Appl. Math. 24 (3) (2024)
Fleurianne Bertrand, Henrik Schneider
Least-squares finite element method for the simulation of sea-ice motion. Comput. Math. Appl. 172 (2024)
Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi, Abdul Halim
A Data-Driven Method for Parametric PDE Eigenvalue Problems Using Gaussian Process with Different Covariance Functions. Comput. Methods Appl. Math. 24 (3) (2024)
Fleurianne Bertrand, Daniele Boffi, Abdul Halim
Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression. CoRR (2023)
Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
Stabilization-free HHO a posteriori error control. Numerische Mathematik 154 (3-4) (2023)
Fleurianne Bertrand, Daniele Boffi, Lucia Gastaldi
Approximation of the Maxwell eigenvalue problem in a Least-Squares setting. CoRR (2023)
Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi, Abdul Halim
A data-driven method for parametric PDE Eigenvalue Problems using Gaussian Process with different covariance functions. CoRR (2023)
Fleurianne Bertrand, Vitoriano Ruas
Improving the accuracy of Raviart-Thomas mixed elements in two-dimensional smooth domains with straight-edged triangles. CoRR (2023)
Fleurianne Bertrand, Daniele Boffi, Lucia Gastaldi
Approximation of the Maxwell eigenvalue problem in a least-squares setting. Comput. Math. Appl. 148 (2023)
Fleurianne Bertrand, Vitoriano Ruas
A variant of the Raviart-Thomas method to handle smooth domains using straight-edged triangles. Part II - Approximation results. CoRR (2023)
Fleurianne Bertrand
Novel Raviart-Thomas Basis Functions on Anisotropic Finite Elements. Comput. Methods Appl. Math. 23 (4) (2023)
Fleurianne Bertrand, Daniele Boffi, Abdul Halim
Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression. J. Comput. Phys. 495 (2023)
Fleurianne Bertrand, Henrik Schneider
Least-Squares finite element method for the simulation of sea-ice motion. CoRR (2023)
Fleurianne Bertrand, Daniele Boffi, Henrik Schneider
Discontinuous Petrov-Galerkin Approximation of Eigenvalue Problems. Comput. Methods Appl. Math. 23 (1) (2023)
Fleurianne Bertrand, Daniele Boffi, Abdul Halim
A reduced order model for the finite element approximation of eigenvalue problems. CoRR (2022)
Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
Stabilization-free HHO a posteriori error control. CoRR (2022)
Fleurianne Bertrand, Henrik Schneider
Superconvergence of discontinuous Petrov-Galerkin approximations in linear elasticity. CoRR (2022)
Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi, Francesca Bonizzoni, Abdul Halim, Gopal Priyadarshi
On the matching of eigensolutions to parametric partial differential equations. CoRR (2022)
Linda Alzaben, Fleurianne Bertrand, Daniele Boffi
On the Spectrum of an Operator Associated with Least-Squares Finite Elements for Linear Elasticity. Comput. Methods Appl. Math. 22 (3) (2022)
Fleurianne Bertrand, Daniele Boffi
On the necessity of the inf-sup condition for a mixed finite element formulation. CoRR (2022)
Fleurianne Bertrand, Gerhard Starke
A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem. Comput. Math. Appl. 91 (2021)
Fleurianne Bertrand, Emilie Pirch
Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19. Comput. 9 (2) (2021)
Fleurianne Bertrand, Daniele Boffi, Rui Ma
An Adaptive Finite Element Scheme for the Hellinger-Reissner Elasticity Mixed Eigenvalue Problem. Comput. Methods Appl. Math. 21 (3) (2021)
Fleurianne Bertrand, Daniele Boffi, Gonzalo G. de Diego
Convergence analysis of the scaled boundary finite element method for the Laplace equation. Adv. Comput. Math. 47 (3) (2021)
Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Math. Appl. 95 (2021)
Fleurianne Bertrand, Daniele Boffi
Least-squares formulations for eigenvalue problems associated with linear elasticity. Comput. Math. Appl. 95 (2021)
Fleurianne Bertrand, Alexandre Ern, Florin Adrian Radu
Robust and reliable finite element methods in poromechanics. Comput. Math. Appl. 91 (2021)
Fleurianne Bertrand, Daniele Boffi, Henrik Schneider
DPG approximation of eigenvalue problems. CoRR (2020)
Fleurianne Bertrand, Daniele Boffi, Gonzalo G. de Diego
Convergence analysis of the scaled boundary finite element method for the Laplace equation. CoRR (2020)
Fleurianne Bertrand, Daniele Boffi
Least-squares for linear elasticity eigenvalue problem. CoRR (2020)
Fleurianne Bertrand, Daniele Boffi, Rolf Stenberg
Asymptotically Exact A Posteriori Error Analysis for the Mixed Laplace Eigenvalue Problem. Comput. Methods Appl. Math. 20 (2) (2020)
Fleurianne Bertrand, Daniele Boffi
First order least-squares formulations for eigenvalue problems. CoRR (2020)
Fleurianne Bertrand, Gerhard Starke
A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem. CoRR (2020)
Fleurianne Bertrand, Lena Lambers, Tim Ricken
Least Squares Finite Element Method for Hepatic Sinusoidal Blood Flow. CoRR (2020)
Fleurianne Bertrand, Daniele Boffi, Rui Ma
An adaptive finite element scheme for the Hellinger-Reissner elasticity mixed eigenvalue problem. CoRR (2020)
Fleurianne Bertrand, Marcel Moldenhauer, Gerhard Starke
A Posteriori Error Estimation for Planar Linear Elasticity by Stress Reconstruction. Comput. Methods Appl. Math. 19 (3) (2019)
Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan, Norbert Heuer
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Methods Appl. Math. 19 (3) (2019)
Fleurianne Bertrand, Daniele Boffi
The Prager-Synge theorem in reconstruction based a posteriori error estimation. CoRR (2019)
Fleurianne Bertrand, Zhiqiang Cai, Eun Young Park
Least-Squares Methods for Elasticity and Stokes Equations with Weakly Imposed Symmetry. Comput. Methods Appl. Math. 19 (3) (2019)
Fleurianne Bertrand
First-Order System Least-Squares for Interface Problems. SIAM J. Numer. Anal. 56 (3) (2018)
Fleurianne Bertrand
An Alternative Proof of a Strip Estimate for First-Order System Least-Squares for Interface Problems. LSSC (2017)
Fleurianne Bertrand, Gerhard Starke
Parametric Raviart-Thomas Elements for Mixed Methods on Domains with Curved Surfaces. SIAM J. Numer. Anal. 54 (6) (2016)
Fleurianne Bertrand, Steffen Münzenmaier, Gerhard Starke
First-order System Least Squares on Curved Boundaries: Higher-order Raviart-Thomas Elements. SIAM J. Numer. Anal. 52 (6) (2014)
Fleurianne Bertrand, Steffen Münzenmaier, Gerhard Starke
First-Order System Least Squares on Curved Boundaries: Lowest-Order Raviart-Thomas Elements. SIAM J. Numer. Anal. 52 (2) (2014)