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Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method

✍ Scribed by Lewis, Thomas; Neilan, Michael

Book ID
125364018
Publisher
Springer US
Year
2013
Tongue
English
Weight
485 KB
Volume
59
Category
Article
ISSN
0885-7474

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Convergence of a Galerkin method for 2-D
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✍ Jian-Guo Liu; Zhouping Xin πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 75 KB πŸ‘ 1 views

We prove the convergence of a discontinuous Galerkin method approximating the 2-D incompressible Euler equations with discontinuous initial vorticity: Ο‰ 0 ∈ L 2 (Ω). Furthermore, when Ο‰ 0 ∈ L ∞ (Ω), the whole sequence is shown to be strongly convergent. This is the first convergence result in numeri