Mohammad Sabawi NTCCIT-2018 Presentation ...

Optimal order a posteriori error bounds in L∞(L2) norm are derived for semidiscrete semilinear parabolic problems using various assumptions on the forcing term. Standard continuous Galerkin (conforming) finite element method is employed. Our main tools in deriving these error estimates are the energy arguments and elliptic reconstruction technique, with the aid of Gr ̈onwall’s lemma and continuation argument. ...