Applied Mathematics and Mechanics

, Volume 29, Issue 2, pp 171–183

Discontinuous element pressure gradient stabilizations for compressible Navier-Stokes equations based on local projections


DOI: 10.1007/s10483-008-0205-z

Cite this article as:
Luo, Y. & Feng, M. Appl. Math. Mech.-Engl. Ed. (2008) 29: 171. doi:10.1007/s10483-008-0205-z


A pressure gradient discontinuous finite element formulation for the compressible Navier-Stokes equations is derived based on local projections. The resulting finite element formulation is stable and uniquely solvable without requiring a B-B stability condition. An error estimate is obtained.

Key words

discontinuous finite element methods pressure gradient projection methods compressible Navier-Stokes equations error estimation 

Chinese Library Classification


2000 Mathematics Subject Classification

76D05 65N30 65N15 

Copyright information

© Editorial Committee of Appl. Math. Mech. and Springer-Verlag 2008

Authors and Affiliations

  • Luo Yan  (骆艳)
    • 1
  • Feng Min-fu  (冯民富)
    • 1
    • 2
  1. 1.School of Applied MathematicsUniversity of Electronic Science and Technology of ChinaChengduP. R. China
  2. 2.School of MathematicsSichuan UniversityChengduP. R. China

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