Math @ Duke

Publications [#246930] of JianGuo Liu
Papers Published
 Liu, JG; Xin, Z, Convergence of a Galerkin method for 2D discontinuous Euler flows,
Communications on Pure and Applied Mathematics, vol. 53 no. 6
(2000),
pp. 786798, WILEY [doi]
(last updated on 2019/04/18)
Abstract: We prove the convergence of a discontinuous Galerkin method approximating the 2D incompressible Euler equations with discontinuous initial vorticity: ω0∈ L2(Ω). Furthermore, when ω0∈ L∞(Ω), the whole sequence is shown to be strongly convergent. This is the first convergence result in numerical approximations of this general class of discontinuous flows. Some important flows such as vortex patches belong to this class. © 2000 John Wiley & Sons, Inc.


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