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Math @ Duke
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Publications [#58664] of John 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 well-posed, and applies the finite element method. Error estimates in weighted Sobolev spaces are proved
Keywords: finite element analysis;
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