Energy norm a-posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations
نویسندگان
چکیده
We develop the energy norm a-posteriori error analysis of exactly divergence-free discontinuous RTk/Qk Galerkin methods for the incompressible Navier-Stokes equations with small data. We derive upper and local lower bounds for the velocity-pressure error measured in terms of the natural energy norm of the discretization. Numerical examples illustrate the performance of the error estimator within an adaptive refinement strategy. Copyright c © 192007 John Wiley & Sons, Ltd.
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