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20222024
most citedMaximum-norm a posteriori error bounds for an extrapolated upwind scheme applied to a singularly perturbed convection-diffusion problem

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2024

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…

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 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…

math.NA2022

A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations

Torsten Linß, Natalia Kopteva, Goran Radojev +1

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 li…

math.NA2022

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…