Math @ Duke
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Publications [#287408] of John A. Trangenstein
Papers Published
- Trangenstein, JA, A Finite Element Method for the Tricomi Problem in the Elliptic Region,
SIAM Journal on Numerical Analysis, vol. 14 no. 6
(December, 1977),
pp. 1066-1077, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 [Gateway.cgi], [doi]
(last updated on 2024/09/17)
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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