Fleurianne Bertrand

University of Twente
Mathematics of Computational Science

Sea Ice Antarctica cruise mixed finite elements
34th FE Symposium 2021 


Special focus on: Inverse Problems, Discontinuous Galerkin Methods, Nonlinear PDE's, Adaptivity

Sea Ice Antarctica cruise mixed finite elements
Oberwolfach, April 2021: Numerical Analysis of Electromagnetic Problems 

(Co-organisation with Matthias Schlottbom and Gerhard Starke)
The aim of this small-scale, week-long interactive mini-workshop jointly organized by the University of Duisburg-Essen and the University of Twente, and kindly hosted at the MFO, is to bring together experts in non-standard and mixed finite elements methods with experts in the field of electromagnetism.

Sea Ice Antarctica cruise mixed finite elements
Oberwolfach Workshop, January 2021: Nonstandard FEM

Abstract: Finite element methodologies dominate the computational approaches for the solution to partial differential equations and nonstandard finite element schemes most urgently require mathematical insight in their design. The hybrid workshop vividly enlightened and discussed innovative nonconforming and polyhedral methods, discrete complex-based finite element methods for tensor-problems, fast solvers and adaptivity, as well as applications to challenging ill-posed and nonlinear problems.

Sea Ice Antarctica cruise mixed finite elements
Oberwolfach Workshop, september 2019: Innovative Approaches to the Numerical Approximation of PDEs 

This workshop was about the numerical solution of PDEs for which classical approaches, such as the finite element method, are not well suited or need further (theoretical) underpinnings. 
Report


Sea Ice Antarctica cruise mixed finite elements
Invited plenary speaker at FEM Symposium on Tour 2019 

I was invited to talk about the new results on Least-Squares methods for the approximation of Eigenvalues

Sea Ice Antarctica cruise mixed finite elements
Minimum Residual and Least-Squares Finite Element Methods in Berlin 

We are organizing this workshop Least-Squares Finite Element Methods and Discontinuous Petrov Galerkin Methods at HU Berlin from September 16th to September 18th, 2019. 

Sea Ice Antarctica cruise mixed finite elements
7th Sino-German Symposium on Computational and Applied Mathematics August 19 - 23, 2019  

Corresponding special issue

Sea Ice Antarctica cruise mixed finite elements
SPP Annual Meeting, Bad Honnef, 01 - 03 July 2019  


Sea Ice Antarctica cruise mixed finite elements
Minisymposium at ICIAM, jointly organised with Markus Weimar (Ruhr Universitaet Bochum) 

Sea Ice Antarctica cruise mixed finite elements
MATH+ Grand Opening 

The decision of the German Research Foundation to support the MATH+ Cluster of Excellence gave reason to the Grand Opening. On 14 May 2019, 800 invited guests met in the Berlin Kosmos and spent entertaining moments together and celebrating the great success that is an outstanding achievement for the city of Berlin and for science in Berlin. Among the guests were many renowned scientists and numerous politicians such as State Secretary Steffen Krach.

Sea Ice Antarctica cruise mixed finite elements
Mafelap, 18 - 21 June 2019

Minisymposium on Adaptive and property preserving finite element methods, jointly organised with Pavel Bochev (Sandia National Laboratories, USA) and Jörg Schröder (UDE, Germany) 

Sea Ice Antarctica cruise mixed finite elements
Cyprus, May 17-18, 2019
17th European Finite Element Fair

Sea Ice Antarctica cruise mixed finite elements
Valencia, May 6-10, 2019
Interpore 2019

I presented the new a posteriori error estimates for the three-field variational formulation of the Biot problem involving the displacements, the total pressure and the fluid pressure of this paper with my Co-author Gerhard Starke.
The discretization under focus is the conforming Taylor–Hood finite element combination, consisting of polynomial degrees for the displacements and the fluid pressure and for the total pressure. The symmetry of the reconstructed stress is allowed to be satisfied only weakly. The reconstructions can be performed locally on a set of vertex patches and lead to a guaranteed upper bound for the error with a constant that depends only on local constants associated with the patches and thus on the shape regularity of the triangulation. Particular emphasis is given to nearly incompressible materials and the error estimates hold uniformly in the incompressible limit. Numerical results on the L-shaped domain confirm the theory and the suitable use of the error estimator in adaptive strategies.

Sea Ice Antarctica cruise mixed finite elements
Berlin, April 15-16, 2019

We are so glad to welcome as speaker

S. Sauter (Universität Zürich)
J. Gedicke (Universität Wien)
D. Peterseim (Universität Augsburg)
T. Vejchodsky (Czech Academy of Sciences)
M. Vohralik (Inria research centre Paris)
J. Storn (Humboldt-Universität zu Berlin)
R. Ma (Humboldt-Universität zu Berlin)
D. Boffi (Università di Pavia)
F. Bertrand (Humboldt-Universität zu Berlin)

Sea Ice Antarctica cruise mixed finite elements
Vienna February 18-22, 2019
Gamm Jahrestagung


Sea Ice Antarctica cruise mixed finite elements
January 18-19, 2019
18th-GAMM-Seminar on Microstructures

Webpage

boffi bertrand mixed finite elements
October 2018: Celebrating 75th years of Mathematics of Computation

With my Co-author Prof. Daniele Boffi we presented our work on a posteriori error estimates for the mixed numerical approximation of the Laplace eigenvalue problem using a reconstruction in the standard conforming space for the primal variable of the mixed Laplace eigenvalue problem. This work compare it with analogous approaches present in the literature for the corresponding source problem. In the case of Raviart–Thomas finite elements of arbitrary polynomial degree, the resulting error estimator constitutes a guaranteed upper bound for the error and is shown to be local efficient. Our reconstruction is performed locally on a set of vertex patches.

Sea Ice Antarctica cruise mixed finite elements
Post-Doc Award of the mathematical faculty in Essen

I received the Post-Doc Award of the mathematical faculty of Essen for my work on parametric finite elements for the mixed approximation of PDEs on domains with curved boundaries.

Sea Ice Antarctica cruise mixed finite elements
Summer 2017, Antarctica cruise



Contact

Fleurianne Bertrand
University of Twente
Electrical Engineering, Mathematics and Computer Science
Campus building Zilverling 3004
Drienerlolaan 5
7522 NB Enschede

Post:
P.O. Box 217
7500 AE Enschede
The Netherlands

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