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Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. (English) Zbl 0535.76074
Comput. Methods Appl. Mech. Eng. (to appear).
A Petrov-Galerkin finite element formulation is presented for first-order hyperbolic systems of conservation laws with particular emphasis on the compressible Euler equations. Applications of the methodology are made to one- and two-dimensional steady and unsteady flows with shocks. Results obtained suggest the potential of the type of methods developed.

MSC:
76N15 Gas dynamics (general theory)
76L05 Shock waves and blast waves in fluid mechanics
76M99 Basic methods in fluid mechanics