On families of pointwise optimal finite volume ENO approximations

摘要

The present work is devoted to the construction of radial functions which can serve as recovery functions in essentially nonoscillatory (ENO) approximations of hyperbolic conservation laws on unstructured grids. Conditionally positive lambda-definite radial functions are shown to be pointwise optimal and therefore very well suited for use in finite volume schemes. In the present paper we develop the theory of pointwise optimality and give examples. [References: 29]