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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
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…
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…