Approximation of tricomi problem with Neumann boundary condition

Vanninathan, M. ; Gowda, G. D. Veerappa (1984) Approximation of tricomi problem with Neumann boundary condition Numerische Mathematik, 44 (3). pp. 371-391. ISSN 0029-599X

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Official URL: http://doi.org/10.1007/BF01405569

Related URL: http://dx.doi.org/10.1007/BF01405569

Abstract

The Tricomi problem with Neumann boundary condition is reduced to a degenerate problem in the elliptic region with a non-local boundary condition and to a Cauchy problem in the hyperbolic region. A variational formulation is given to the elliptic problem and a finite element approximation is studied. Also some regularity results in weighted Sobolev spaces are discussed.

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