Galerkin time-stepping methods for nonlinear parabolic equations
(EN)
Akrivis, G.
(EN)
Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας
(EL)
Akrivis, G.
(EN)
We consider discontinuous as well as continuous Calerkin methods for the time discretization of a class of nonlinear parabolic equations. We show existence and local uniqueness and derive optimal order optimal regularity a priori error estimates. We establish the results in an abstract Hilbert space setting and apply them to a quasilinear parabolic equation.
(EN)
