An analysis technique for stabilized finite element solution of incompressible flows

Tomás Chacón Rebollo

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2001)

  • Volume: 35, Issue: 1, page 57-89
  • ISSN: 0764-583X

Abstract

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This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed methods. We prove that the stability of stabilized methods follows from an underlying discrete inf-sup condition, plus a uniform separation property between bubble and velocity finite element spaces. We apply the technique introduced to prove the stability of stabilized spectral element methods so as stabilized solution of the primitive equations of the ocean.

How to cite

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Rebollo, Tomás Chacón. "An analysis technique for stabilized finite element solution of incompressible flows." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 35.1 (2001): 57-89. <http://eudml.org/doc/194045>.

@article{Rebollo2001,
abstract = {This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed methods. We prove that the stability of stabilized methods follows from an underlying discrete inf-sup condition, plus a uniform separation property between bubble and velocity finite element spaces. We apply the technique introduced to prove the stability of stabilized spectral element methods so as stabilized solution of the primitive equations of the ocean.},
author = {Rebollo, Tomás Chacón},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Oseen equations; finite elements; mixed methods; stabilized methods; discrete inf-sup condition; spectral methods; primitive equations; stabilized finite element solution; stability; uniform separation property; finite element spaces; primitive equations of ocean},
language = {eng},
number = {1},
pages = {57-89},
publisher = {EDP-Sciences},
title = {An analysis technique for stabilized finite element solution of incompressible flows},
url = {http://eudml.org/doc/194045},
volume = {35},
year = {2001},
}

TY - JOUR
AU - Rebollo, Tomás Chacón
TI - An analysis technique for stabilized finite element solution of incompressible flows
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2001
PB - EDP-Sciences
VL - 35
IS - 1
SP - 57
EP - 89
AB - This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed methods. We prove that the stability of stabilized methods follows from an underlying discrete inf-sup condition, plus a uniform separation property between bubble and velocity finite element spaces. We apply the technique introduced to prove the stability of stabilized spectral element methods so as stabilized solution of the primitive equations of the ocean.
LA - eng
KW - Oseen equations; finite elements; mixed methods; stabilized methods; discrete inf-sup condition; spectral methods; primitive equations; stabilized finite element solution; stability; uniform separation property; finite element spaces; primitive equations of ocean
UR - http://eudml.org/doc/194045
ER -

References

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