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A “natural” norm for the method of characteristics using discontinuous finite elements: 2D and 3D case. (English) Zbl 0948.65094
Error estimates for the numerical approximation of a first-order stationary hyperbolic equation in the 2D and 3D case by the method of characteristics using discontinuous finite elements are proved.

MSC:
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35L45 Initial value problems for first-order hyperbolic systems
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