Preprint 2015-19
Johnny Guzman, Filander A. Sequeira, Chi - Wang Shu:
H(div) conforming and DG methods for the incompressible Euler equations
Abstract:
H(div) conforming and discontinuous Galerkin (DG) methods are designed for the incompressible Euler equation in two and three dimension. Error estimates are proved for both the semi-discrete method and fully-discrete method using backward Euler time stepping. Numerical examples exhibiting the performance of the methods are given.
This preprint gave rise to the following definitive publication(s):
Johnny GUZMAN, Filander A. SEQUEIRA, Chi - Wang SHU: H(div) conforming and DG methods for the incompressible Euler equations. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 1733-1771, (2017).