Optimal error estimate for a mixed finite element method for compressible Navier-Stokes system
SCIE
SCOPUS
- Title
- Optimal error estimate for a mixed finite element method for compressible Navier-Stokes system
- Authors
- Kweon, JR
- Date Issued
- 2003-05
- Publisher
- ELSEVIER SCIENCE BV
- Abstract
- A linearized stationary compressible viscous Navier-Stokes system is considered. A mixed finite element method is applied and the unique existence of the solution is established by the inf-sup condition. The convection terms, especially in the continuity equation, were thought of causing non-optimal order convergence, but in this paper error estimates of optimal order are derived by implementing the lowest order Raviart-Thomas elements. The error estimates for the normal and tangential components of velocity are also optimal on the interfaces of the interior triangles. It turns out that the non-symmetric discrete system can be reformulated into a symmetric form. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.
- Keywords
- compressible flows; mixed finite element; optimal convergence; INFLOW BOUNDARY-CONDITION; EQUATIONS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29729
- DOI
- 10.1016/S0168-9274(02)00213-1
- ISSN
- 0168-9274
- Article Type
- Article
- Citation
- APPLIED NUMERICAL MATHEMATICS, vol. 45, no. 2-3, page. 275 - 292, 2003-05
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.