Design of an Essentially Nonoscillatory Reconstruction Procedure on Finite-Element-Type Meshes

摘要: In order to construct high-order finite volume schemes on triangular unstructured meshes, we propose in this article an Essentially Nonoscillatory Reconstruction these meshes. Given a function u that may admit discontinuities locally regular curve, consider its Lagrange interpolation and another polynomial approximation is formally average preserving. We analyze the asymptotic behavior of highest-degree coefficients approximations u. These results are then applied derive conservative essentially nonoscillatory type function. Some numerical examples given. They demonstrate efficiency reconstruction.