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Approximation of tricomi problem with Neumann boundary condition

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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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  1. T.I.F.R. Centre, P.O. Box 1234, 560012, Bangalore, India

    M. Vanninathan & G. D. Veerappa Gowda

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  1. M. Vanninathan
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  2. G. D. Veerappa Gowda
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Vanninathan, M., Gowda, G.D.V. Approximation of tricomi problem with Neumann boundary condition. Numer. Math. 44, 371–391 (1984). https://doi.org/10.1007/BF01405569

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