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Existence and uniqueness for an equation of mixed type in a rectangle (1982)

Aziz, A. K. ; Bell, J. B. ; Schneider, M. ; [weitere]

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 4 (1982), S. 307-316

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Details

ISSN: 0170-4214

Schlagwort(e): Mathematics and Statistics ; Applied Mathematics

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: A boundary value problem is considered for an equation of mixed type in a rectangle. An energy method is used to prove uniqueness for appropriate boundary conditions. Similar considerations for the adjoint problem allow one to prove the existence of a generalized solution to the problem. It is also shown that the energy method leads naturally to a finite element method. The method is described for a special case and convergence is shown for the resulting numerical procedure.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/mma.1670040121

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