A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations

Vivette Girault; Béatrice Rivière; Mary F. Wheeler

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 39, Issue: 6, page 1115-1147
  • ISSN: 0764-583X

Abstract

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In this paper we solve the time-dependent incompressible Navier-Stokes equations by splitting the non-linearity and incompressibility, and using discontinuous or continuous finite element methods in space. We prove optimal error estimates for the velocity and suboptimal estimates for the pressure. We present some numerical experiments.

How to cite

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Girault, Vivette, Rivière, Béatrice, and Wheeler, Mary F.. "A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations." ESAIM: Mathematical Modelling and Numerical Analysis 39.6 (2010): 1115-1147. <http://eudml.org/doc/194299>.

@article{Girault2010,
abstract = { In this paper we solve the time-dependent incompressible Navier-Stokes equations by splitting the non-linearity and incompressibility, and using discontinuous or continuous finite element methods in space. We prove optimal error estimates for the velocity and suboptimal estimates for the pressure. We present some numerical experiments. },
author = {Girault, Vivette, Rivière, Béatrice, Wheeler, Mary F.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Operator splitting; time-dependent Navier-Stokes; SIPG.; finite element methods; optimal error estimates},
language = {eng},
month = {3},
number = {6},
pages = {1115-1147},
publisher = {EDP Sciences},
title = {A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations},
url = {http://eudml.org/doc/194299},
volume = {39},
year = {2010},
}

TY - JOUR
AU - Girault, Vivette
AU - Rivière, Béatrice
AU - Wheeler, Mary F.
TI - A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 39
IS - 6
SP - 1115
EP - 1147
AB - In this paper we solve the time-dependent incompressible Navier-Stokes equations by splitting the non-linearity and incompressibility, and using discontinuous or continuous finite element methods in space. We prove optimal error estimates for the velocity and suboptimal estimates for the pressure. We present some numerical experiments.
LA - eng
KW - Operator splitting; time-dependent Navier-Stokes; SIPG.; finite element methods; optimal error estimates
UR - http://eudml.org/doc/194299
ER -

References

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