engleski

Transport-collapse scheme for heterogeneous scalar conservation laws with boundary conditions

We extend Brenier's transport collapse scheme on heterogeneous scalar conservation laws with initial and boundary data. It is based on averaging out the solution to the corresponding kinetic equation, and it necessarily converges toward the entropy admissible solution to the considered problem. We also provide numerical examples.

heterogeneous scalar conservation law; mixed problem; transport-collapse scheme; kinetic formulation

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