A finite element method for the Tricomi problem |
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| Authors: | A. K. Aziz M. Schneider A. Werschulz |
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| Affiliation: | (1) Department of Mathematics, University of Maryland, Baltimore County Campus, Baltimore, MD, USA;(2) Institute for Physical Science and Technology, University of Maryland, Baltimore, MD, USA;(3) Technische Universität Berlin, Berlin, Germany (Fed. Rep.) |
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| Abstract: | Summary We consider the numerical solution of the Tricomi problem. Using a weak formulation based on different spaces of test and trial functions, we construct a new Galerkin procedure for the Tricomi problem. Existence, uniqueness, and uniform stability of the approximate solution is proven, and a priori error bounds are given.Research supported in part by the Department of Energy under contract DOE E(40-1)3443 |
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| Keywords: | AMS (MOS): primary 65M05 65M10 65M15 secondary: 35M05 CR: 5.17 |
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