Displaying similar documents to “Crank-Nicolson-Galerkin approximation of the periodic solutions of weakly nonlinear parabolic equations”

Galerkin time-stepping methods for nonlinear parabolic equations

Georgios Akrivis, Charalambos Makridakis (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

We consider discontinuous as well as continuous Galerkin methods for the time discretization of a class of nonlinear parabolic equations. We show existence and local uniqueness and derive optimal order optimal regularity error estimates. We establish the results in an abstract Hilbert space setting and apply them to a quasilinear parabolic equation.