# An analysis technique for stabilized finite element solution of incompressible flows

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

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

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topRebollo, Tomás Chacón. "An analysis technique for stabilized finite element solution of incompressible flows." ESAIM: Mathematical Modelling and Numerical Analysis 35.1 (2010): 57-89. <http://eudml.org/doc/197444>.

@article{Rebollo2010,

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 sta bi li ty 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},

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},

month = {3},

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/197444},

volume = {35},

year = {2010},

}

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

DA - 2010/3//

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 sta bi li ty 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/197444

ER -

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