Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Linss, Torsten"'
Autor:
Linß, Torsten, Radojev, Goran
A class of linear parabolic equations is considered. We derive a framework for the a posteriori error analysis of time discretisations by Richardson extrapolation of arbitrary order combined with finite element discretisations in space. We use the id
Externí odkaz:
http://arxiv.org/abs/2411.13617
Autor:
Linß, Torsten, Xenophontos, Christos
We establish robust exponential convergence for $rp$-Finite Element Methods (FEMs) applied to fourth order singularly perturbed boundary value problems, in a \emph{balanced norm} which is stronger than the usual energy norm associated with the proble
Externí odkaz:
http://arxiv.org/abs/2309.10387
Autor:
Linß, Torsten, Radojev, Goran
Richardson extrapolation is applied to a simple first-order upwind difference scheme for the approximation of solutions of singularly perturbed convection-diffusion problems in one dimension. Robust a posteriori error bounds are derived for the propo
Externí odkaz:
http://arxiv.org/abs/2308.02264
Autor:
Heuer, Norbert, Linß, Torsten
We analyse a finite-element discretisation of a differential equation describing an axisymmetrically loaded thin shell. The problem is singularly perturbed when the thickness of the shell becomes small. We prove robust convergence of the method in a
Externí odkaz:
http://arxiv.org/abs/2306.12952
A class of linear parabolic equations are considered. We derive a common framework for the a posteriori error analysis of certain second-order time discretisations combined with finite element discretisations in space. In particular we study the Cran
Externí odkaz:
http://arxiv.org/abs/2304.01637
A posteriori error estimates in the maximum norm are studied for various time-semidiscretisations applied to a class of linear parabolic equations. We summarise results from the literature and present some new improved error bounds. Crucial ingredien
Externí odkaz:
http://arxiv.org/abs/2212.11540
Autor:
Linß, Torsten, Xenophontos, Christos
We present the analysis for an $hp$ weak Galerkin-FEM for singularly perturbed reaction-convection-diffusion problems in one-dimension. Under the analyticity of the data assumption, we establish robust exponential convergence, when the error is measu
Externí odkaz:
http://arxiv.org/abs/2211.04224
Autor:
Linß, Torsten, Radojev, Goran
A class of linear parabolic equations are considered. We give a posteriori error estimates in the maximum norm for a method that comprises extrapolation applied to the backward Euler method in time and finite element discretisations in space. We use
Externí odkaz:
http://arxiv.org/abs/2208.08153