An optimal order convergence for a weak formulation of the compressible Stokes system with inflow boundary condition

Authors
Kweon, JR
Citation
Jr. Kweon, An optimal order convergence for a weak formulation of the compressible Stokes system with inflow boundary condition, NUMER MATH, 86(2), 2000, pp. 305-318
Citations number
16
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
86
Issue
2
Year of publication
2000
Pages
305 - 318
Database
ISI
SICI code
0029-599X(200008)86:2<305:AOOCFA>2.0.ZU;2-W
Abstract
We formulate the compressible Stokes system given in (1.1) into a (new) wea k formulation (2.1). A finite element method for this is presented. Existen ce and uniqueness of the finite element method is shown. An optimal error e stimate for the numerical approximation is obtained. Numerical examples are given, showing its efficiency and rates of convergence of the approximate solutions that results from the discrete problem (3.1).