1 citations · 1 across the 7 of their papers we have counts for
7 papers
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…
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 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…
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…
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…
An Weak Galerkin FEM for singularly perturbed problems
Torsten Linß, Christos Xenophontos
We present the analysis for an weak Galerkin-FEM for singularly perturbed reaction-convection-diffusion problems in one-dimension. Under the analyticity of the data assumption…
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…