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math.NA2023★ 1 cited
Maximum-norm a posteriori error bounds for an extrapolated upwind scheme applied to a singularly perturbed convection-diffusion problem
Torsten Linß, Goran Radojev
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…
math.NA2023
A balanced finite-element method for an axisymmetrically loaded thin shell
Norbert Heuer, Torsten Linß
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 th…
math.NA2023
A unified approach to maximum-norm a posteriori error estimation for second-order time discretisations of parabolic equations
Torsten Linß, Martin Ossadnik, Goran Radojev
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 fi…