1 citations · 1 across the 3 of their papers we have counts for
5 papers
Weak Solutions for the Unregularised Hibler Momentum Equation with Degenerate Coefficients
Henrik Schneider
We study the momentum equation of the decoupled unregularised Hibler sea-ice model with non-negative ice mass and ice strength, both of which may vanish. The ocean drag provides co…
Least-Squares Finite Element Methods for nonlinear problems: A unified framework
Fleurianne Bertrand, Maximilian Brodbeck, Tim Ricken +1
This paper presents a unified Least-Squares framework for solving nonlinear partial differential equations by recasting the governing system as a residual minimisation problem. A L…
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…
Superconvergence of discontinuous Petrov-Galerkin approximations in linear elasticity
Fleurianne Bertrand, Henrik Schneider
Existing a priori convergence results of the discontinuous Petrov-Galerkin method to solve the problem of linear elasticity are improved. Using duality arguments, we show that high…
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…