Ein Finite-Element-Verfahren zur numerischen Lösung von Erhaltungsgleichungen.
Please always quote using this URN: urn:nbn:de:0297-zib-4597
- A new approach for the discretisation of hyperbolic conservation laws via a finite element method is developed and analysed. Appropriate forms of the Eulers equation of gas dynamic are considered to employ the algorithm in a reasonable way for this system of nonlinear equations. Both mathematical and physical stability results are obtained. A main part of the paper is devoted to the convergence proof with energy methods under strong regularity of the solution of a scalar nonlinear conservation law. Some hints on the implementation and numerical results for the calculation of transonic gasflow through a Laval nozzle are given. The necessary amount of numerical work is compared to an established finite difference method and the efficiency of the algorithm is shown. A survey on recent literature about finite element methods for hyperbolic problem is included.
Author: | Artur Walter |
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Document Type: | ZIB-Report |
Date of first Publication: | 1989/02/16 |
Series (Serial Number): | ZIB-Report (TR-89-03) |
ZIB-Reportnumber: | TR-89-03 |