no. 2
Galerkin time-stepping methods for nonlinear parabolic equations
ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 2, pp. 261-289

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 a priori error estimates. We establish the results in an abstract Hilbert space setting and apply them to a quasilinear parabolic equation.

DOI : 10.1051/m2an:2004013
Classification : 65M15, 65M50
Keywords: nonlinear parabolic equations, local Lipschitz condition, continuous and discontinuous Galerkin methods, a priori error analysis, monotone operators 
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     title = {Galerkin time-stepping methods for nonlinear parabolic equations},
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Akrivis, Georgios; Makridakis, Charalambos. Galerkin time-stepping methods for nonlinear parabolic equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 2, pp. 261-289. doi: 10.1051/m2an:2004013

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