A stable mixed finite element method on truncated exterior domains

Paul Deuring

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1998)

  • Volume: 32, Issue: 3, page 283-305
  • ISSN: 0764-583X

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Deuring, Paul. "A stable mixed finite element method on truncated exterior domains." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 32.3 (1998): 283-305. <http://eudml.org/doc/193875>.

@article{Deuring1998,
author = {Deuring, Paul},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {exterior domain; Stokes flow; mixed finite element method; Babuška-Brezzi condition},
language = {eng},
number = {3},
pages = {283-305},
publisher = {Dunod},
title = {A stable mixed finite element method on truncated exterior domains},
url = {http://eudml.org/doc/193875},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Deuring, Paul
TI - A stable mixed finite element method on truncated exterior domains
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1998
PB - Dunod
VL - 32
IS - 3
SP - 283
EP - 305
LA - eng
KW - exterior domain; Stokes flow; mixed finite element method; Babuška-Brezzi condition
UR - http://eudml.org/doc/193875
ER -

References

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  1. [1] S. C. BRENNER, L. R. SCOTT, The mathematical theory of finite element methods, Springer, New York e.a., 1994. Zbl0804.65101MR1278258
  2. [2] F. BREZZI, M. FORTIN, Mixed and hybrid finite element methods, Springer, New York e.a., 1991. Zbl0788.73002MR1115205
  3. [3] P. DEURING, Finite element methods for the Stokes system in exterior domains, Meth. Meth. Appl. Sci., 20 (1997), pp. 245-269. Zbl0870.76041MR1430495
  4. [4] G. P. GALDI, An introduction to the mathematical theory of the Navier Stokes equations. Volume I. Lineanzed steady problems, Springer, New York e.a., 1994. Zbl0949.35004MR1284205
  5. [5] V. GIRAULT, P.- A. RAVIART, Finite element methods for Navier-Stokes equations, Springer, Berlin e.a., 1986. Zbl0585.65077MR851383
  6. [6] C. I. GOLDSTEIN, The finite element method with nonuniform mesh sizes for unbounded domains, Math. Comp., 36 (1981), pp. 387-404. Zbl0467.65058MR606503
  7. [7] C. I. Goldstein, Multigrid methods for elliptic problems in unbounded domains, SIAM J. Numer. Anal., 30 (1993), pp. 159-183. Zbl0772.65075MR1202661

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