1 citations · 1 across the 4 of their papers we have counts for
10 papers
DPG approximation of eigenvalue problems
Fleurianne Bertrand, Daniele Boffi, Henrik Schneider
In this paper, the discontinuous Petrov--Galerkin approximation of the Laplace eigenvalue problem is discussed. We consider in particular the primal and ultra weak formulations of…
A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem
F. Bertrand, G. Starke
A posteriori error estimates are constructed for the three-field variational formulation of the Biot problem involving the displacements, the total pressure and the fluid pressure.…
Least Squares Finite Element Method for Hepatic Sinusoidal Blood Flow
Fleurianne Bertrand, Lena Lambers, Tim Ricken
The simulation of complex biological systems such as the description of blood flow in organs requires a lot of computational power as well as a detailed description of the organ ph…
Convergence analysis of the scaled boundary finite element method for the Laplace equation
Fleurianne Bertrand, Daniele Boffi, Gonzalo G. de Diego
The scaled boundary finite element method (SBFEM) is a relatively recent boundary element method that allows the approximation of solutions to PDEs without the need of a fundamenta…
An adaptive finite element scheme for the Hellinger--Reissner elasticity mixed eigenvalue problem
Fleurianne Bertrand, Daniele Boffi, Rui Ma
In this paper we study the approximation of eigenvalues arising from the mixed Hellinger--Reissner elasticity problem by using the simple finite element using partial relaxation of…
Least-squares for linear elasticity eigenvalue problem
Fleurianne Bertrand, Daniele Boffi
We study the approximation of the spectrum of least-squares operators arising from linear elasticity. We consider a two-field (stress/displacement) and a three-field (stress/displa…