A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
We derive energy-norm a posteriori error bounds for an Euler time-stepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems. For accessibility, we address first the spatially semidiscrete case and then move to the fully discrete scheme by introducing the implicit Euler time-stepping. All results are presented …