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Maximum-norm a posteriori error bounds for parabolic equations discretised by the extrapolated Euler method in time and FEM in space
Torsten Linß, Goran Radojev
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 orde…
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…
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…
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…
Maximum-norm a posteriori error bounds for an extrapolated Euler/finite element discretisation of parabolic equations
Torsten Linß, Goran Radojev
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 Eul…