Johnny Guzman, Filander A. Sequeira, Chi - Wang Shu:
H(div) conforming and DG methods for the incompressible Euler equations
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).