4 papers · 1 filter
A posteriori error bounds for pseudo-parabolic equations using semigroups
Martin Ossadnik, Torsten Linß
A class of pseudo-parabolic partial differential equations is considered. We derive a posteriori error bounds for approximations obtained by FEMs in space and a BDF formula in time…
On norms and traces of the derivatives of the -projection error
Torsten Linß, Christos Xenophontos
We provide error bounds on the traces and norms of the derivative of the projection of an function onto the space of polynomials of degree . The bounds are ex…
Tensor finite elements for smectic liquid crystals
Thomas Führer, Norbert Heuer, Torsten Linß
We present a tensor-based finite element scheme for a smectic-A liquid crystal model. We propose a simple Céa-type finite element projection in the linear case and prove its quasi-…
Balanced norm estimates for -Finite Element Methods applied to singularly perturbed fourth order boundary value problems
Torsten Linß, Christos Xenophontos
We establish robust exponential convergence for -Finite Element Methods (FEMs) applied to fourth order singularly perturbed boundary value problems, in a \emph{balanced norm} w…