Global Dynamics of a Discontinuous Galerkin Approximation to aClass of
نویسندگان
چکیده
The long time behavior of arbitrary order fully discrete approximations using the discon-tinuous Galerkin method (see Johnson J]) for the time discretization of a reaction{diiusion equation is studied. The existence of absorbing sets and an attractor is shown for the numerical method. The crucial step in the analysis involves showing the fully discrete scheme has a Lyapunov functional.
منابع مشابه
Global Dynamics of a Discontinuous Galerkin Approximation to aClass of Reaction { Di usion
The long time behavior of arbitrary order fully discrete approximations using the discon-tinuous Galerkin method (see Johnson J]) for the time discretization of a reaction{diiusion equation is studied. The existence of absorbing sets and an attractor is shown for the numerical method. The crucial step in the analysis involves showing the fully discrete scheme has a Lyapunov functional.
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