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A finite element method and stabilization method for a non-linear tricomi problem

✍ Scribed by N. A. Lar'kin; M. Schneider

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
513 KB
Volume
17
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We prove using the Faedo‐Galerkin method the existence of a generalized solution of an initial‐boundary value problem for the non‐linear evolution equationmagnified image0 β©½ Q β©½ 2, in a cylinder Q~T~ = Ξ© Γ— (0, T), where 𝒯 u = yu~xx~ + u~yy~ is the Tricomi operator and l(u) a special differential operator of first order. We then show that the approximate generalized solution of problem (*) converges to the approximate generalized solution of the corresponding stationary boundary value problem as t β†’ ∞.

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