Math @ Duke

Publications [#58664] of John A. Trangenstein
Papers Published
 Trangenstein, J.A., A finite element method for the Tricomi problem in the elliptic region,
SIAM J. Numer. Anal. (USA), vol. 14 no. 6
(1977),
pp. 1066  77
(last updated on 2007/04/09)
Abstract: The Tricomi problem is divided into an elliptic problem, involving a nonlocal boundary condition on a line of parabolic degeneracy, and a hyperbolic problem. The author converts the elliptic problem into an equivalent variational form, shows it to be wellposed, and applies the finite element method. Error estimates in weighted Sobolev spaces are proved
Keywords: finite element analysis;


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