ENO Reconstruction and ENO Interpolation Are Stable |
| |
Authors: | Ulrik S. Fjordholm Siddhartha Mishra Eitan Tadmor |
| |
Affiliation: | 1. Seminar for Applied Mathematics, ETH Zürich, HG J 48, R?mistrasse 101, Zürich, Switzerland 2. Department of Mathematics, Center of Scientific Computation and Mathematical Modeling (CSCAMM), Institute for Physical Sciences and Technology (IPST), University of Maryland, College Park, MD, 20742-4015, USA
|
| |
Abstract: | We prove that the ENO reconstruction and ENO interpolation procedures are stable in the sense that the jump of the reconstructed ENO point values at each cell interface has the same sign as the jump of the underlying cell averages across that interface. Moreover, we prove that the size of these jumps after reconstruction relative to the jump of the underlying cell averages is bounded. Similar sign properties and the boundedness of the jumps hold for the ENO interpolation procedure. These estimates, which are shown to hold for ENO reconstruction and interpolation of arbitrary order of accuracy and on nonuniform meshes, indicate a remarkable rigidity of the piecewise polynomial ENO procedure. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|