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ORCIDFleurianne Bertrand
2020 – today
- 2024
[j26]Fleurianne Bertrand
, Henrik Schneider:
Least-squares finite element method for the simulation of sea-ice motion. Comput. Math. Appl. 172: 38-46 (2024)- [j25]Lothar Banz, Fleurianne Bertrand:
A posteriori error estimate for contact problems in porous media. Comput. Math. Appl. 174: 219-229 (2024) - [j24]Fleurianne Bertrand, Daniele Boffi, Alexander Düster, Jean-Luc Guermond, Norbert Heuer, Jichun Li, Waldemar Rachowicz:
Innovative discretizations of PDEs: Towards an accurate representation of the reality. Comput. Math. Appl. 176: 221-223 (2024) - [j23]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): 533-556 (2024) - [j22]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): 557-576 (2024) - [i20]Maximilian Brodbeck, Fleurianne Bertrand, Tim Ricken:
Adaptive finite element methods based on flux and stress equilibration using FEniCSx. CoRR abs/2410.09764 (2024) - 2023
- [j21]Fleurianne Bertrand, Daniele Boffi, Lucia Gastaldi:
Approximation of the Maxwell eigenvalue problem in a least-squares setting. Comput. Math. Appl. 148: 302-312 (2023) - [j20]Fleurianne Bertrand, Daniele Boffi, Henrik Schneider:
Discontinuous Petrov-Galerkin Approximation of Eigenvalue Problems. Comput. Methods Appl. Math. 23(1): 1-17 (2023) - [j19]Fleurianne Bertrand:
Novel Raviart-Thomas Basis Functions on Anisotropic Finite Elements. Comput. Methods Appl. Math. 23(4): 831-848 (2023) - [j18]Fleurianne Bertrand, Daniele Boffi, Abdul Halim:
Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression. J. Comput. Phys. 495: 112503 (2023) - [j17]Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran:
Stabilization-free HHO a posteriori error control. Numerische Mathematik 154(3-4): 369-408 (2023) - [i19]Fleurianne Bertrand, Daniele Boffi, Abdul Halim:
Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression. CoRR abs/2301.08934 (2023) - [i18]Lothar Banz, Fleurianne Bertrand:
Contact problems in porous media. CoRR abs/2302.02600 (2023) - [i17]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 abs/2303.18064 (2023) - [i16]Fleurianne Bertrand, Daniele Boffi, Lucia Gastaldi:
Approximation of the Maxwell eigenvalue problem in a Least-Squares setting. CoRR abs/2305.08996 (2023) - [i15]Fleurianne Bertrand, Henrik Schneider:
Least-Squares finite element method for the simulation of sea-ice motion. CoRR abs/2305.11635 (2023) - [i14]Fleurianne Bertrand, Vitoriano Ruas:
Improving the accuracy of Raviart-Thomas mixed elements in two-dimensional smooth domains with straight-edged triangles. CoRR abs/2307.03503 (2023) - 2022
- [j16]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): 511-528 (2022) - [i13]Fleurianne Bertrand, Daniele Boffi, Abdul Halim:
A reduced order model for the finite element approximation of eigenvalue problems. CoRR abs/2203.14880 (2022) - [i12]Fleurianne Bertrand, Daniele Boffi:
On the necessity of the inf-sup condition for a mixed finite element formulation. CoRR abs/2206.06968 (2022) - [i11]Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran:
Stabilization-free HHO a posteriori error control. CoRR abs/2207.01038 (2022) - [i10]Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi, Francesca Bonizzoni, Abdul Halim, Gopal Priyadarshi:
On the matching of eigensolutions to parametric partial differential equations. CoRR abs/2207.06145 (2022) - [i9]Fleurianne Bertrand, Henrik Schneider:
Superconvergence of discontinuous Petrov-Galerkin approximations in linear elasticity. CoRR abs/2209.08859 (2022) - 2021
- [j15]Fleurianne Bertrand, Daniele Boffi, Gonzalo Gonzalez de Diego:
Convergence analysis of the scaled boundary finite element method for the Laplace equation. Adv. Comput. Math. 47(3): 34 (2021) - [j14]Fleurianne Bertrand, Alexandre Ern, Florin Adrian Radu:
Robust and reliable finite element methods in poromechanics. Comput. Math. Appl. 91: 1-2 (2021) - [j13]Fleurianne Bertrand, Gerhard Starke:
A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem. Comput. Math. Appl. 91: 3-16 (2021) - [j12]Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan:
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Math. Appl. 95: 1-3 (2021) - [j11]Fleurianne Bertrand, Daniele Boffi:
Least-squares formulations for eigenvalue problems associated with linear elasticity. Comput. Math. Appl. 95: 19-27 (2021) - [j10]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): 501-512 (2021) - [j9]Fleurianne Bertrand, Emilie Pirch:
Least-Squares Finite Element Method for a Meso-Scale Model of the Spread of COVID-19. Comput. 9(2): 18 (2021) - 2020
- [j8]Fleurianne Bertrand, Daniele Boffi, Rolf Stenberg:
Asymptotically Exact A Posteriori Error Analysis for the Mixed Laplace Eigenvalue Problem. Comput. Methods Appl. Math. 20(2): 215-225 (2020) - [p1]Fleurianne Bertrand, Daniele Boffi:
The Prager-Synge theorem in reconstruction based a posteriori error estimation. 75 Years of Mathematics of Computation 2020 - [i8]Fleurianne Bertrand, Daniele Boffi:
First order least-squares formulations for eigenvalue problems. CoRR abs/2002.08145 (2020) - [i7]Fleurianne Bertrand, Daniele Boffi:
Least-squares for linear elasticity eigenvalue problem. CoRR abs/2003.00449 (2020) - [i6]Fleurianne Bertrand, Daniele Boffi, Rui Ma:
An adaptive finite element scheme for the Hellinger-Reissner elasticity mixed eigenvalue problem. CoRR abs/2003.08062 (2020) - [i5]Fleurianne Bertrand, Daniele Boffi, Gonzalo Gonzalez de Diego:
Convergence analysis of the scaled boundary finite element method for the Laplace equation. CoRR abs/2005.02287 (2020) - [i4]Fleurianne Bertrand, Lena Lambers, Tim Ricken:
Least Squares Finite Element Method for Hepatic Sinusoidal Blood Flow. CoRR abs/2008.01512 (2020) - [i3]Fleurianne Bertrand, Gerhard Starke:
A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem. CoRR abs/2010.09318 (2020) - [i2]Fleurianne Bertrand, Daniele Boffi, Henrik Schneider:
DPG approximation of eigenvalue problems. CoRR abs/2012.06623 (2020)
2010 – 2019
- 2019
- [j7]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): 395-397 (2019) - [j6]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): 415-430 (2019) - [j5]Fleurianne Bertrand, Marcel Moldenhauer, Gerhard Starke:
A Posteriori Error Estimation for Planar Linear Elasticity by Stress Reconstruction. Comput. Methods Appl. Math. 19(3): 663-679 (2019) - [i1]Fleurianne Bertrand, Daniele Boffi:
The Prager-Synge theorem in reconstruction based a posteriori error estimation. CoRR abs/1907.00440 (2019) - 2018
- [j4]Fleurianne Bertrand:
First-Order System Least-Squares for Interface Problems. SIAM J. Numer. Anal. 56(3): 1711-1730 (2018) - 2017
- [c1]Fleurianne Bertrand:
An Alternative Proof of a Strip Estimate for First-Order System Least-Squares for Interface Problems. LSSC 2017: 95-102 - 2016
- [j3]Fleurianne Bertrand, Gerhard Starke:
Parametric Raviart-Thomas Elements for Mixed Methods on Domains with Curved Surfaces. SIAM J. Numer. Anal. 54(6): 3648-3667 (2016) - 2014
- [j2]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): 880-894 (2014) - [j1]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): 3165-3180 (2014)
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