In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div, Ω)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system. © Springer Science+Business Media New York 2013.
Ayuso De Dios, B., Brezzi, F., Marini, L., Xu, J., Zikatanov, L. (2014). A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. JOURNAL OF SCIENTIFIC COMPUTING, 58(3), 517-547 [10.1007/s10915-013-9758-0].
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem
Ayuso De Dios, B;
2014
Abstract
In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div, Ω)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system. © Springer Science+Business Media New York 2013.
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