Maximum principles

Monday, November 1, 2010 - 10:45am - 11:30am
Chi-Wang Shu (Brown University)
We construct uniformly high order accurate discontinuous Galerkin
(DG) and weighted essentially non-oscillatory (WENO) finite volume
(FV) schemes satisfying a strict maximum principle for scalar
conservation laws and passive convection in incompressible flows, and
positivity preserving for density and pressure for compressible Euler
equations. A general framework (for arbitrary order of accuracy) is
established to construct a limiter for the DG or FV method with first order
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