Upstream weighting and mixed finite elements in the simulation of miscible displacements
Monotone (A,B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux
For scalar conservation laws in one space dimension with a flux function discontinuous in space, there exist infinitely many classes of solutions which are contractive. Each class is characterized by a connection () which determines the interface entropy. For solutions corresponding to a connection (), there exists convergent numerical schemes based on Godunov or Engquist−Osher schemes. The natural question is how to obtain schemes, corresponding to computationally less expensive...
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