A possible counterexample to wellposedness of entropy solutions and to Godunov scheme convergence

Details A possible counterexample to wellposedness of entropy solutions and to Godunov scheme convergence A possible counterexample to wellposedness of entropy solutions and to Godunov scheme convergence

2005-09-15

arxiv.org/abs/math/0509333v1

Mathematics

Numerical Analysis

Scientific paper

10.1090/S0025-5718-06-01863-1

A particular case of initial data for the two-dimensional Euler equations is
studied numerically. The results show that the Godunov method does not always
converge to the physical solution, at least not on feasible grids. Moreover,
they suggest that entropy solutions (in the weak entropy inequality sense) are
not well-posed.

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