Optimal low order finite element methods for incompressible flow

David Silvester

Optimal low order finite element methods for incompressible flow

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we consider the characterization of optimal stabilisation parameters associated with mixed finite element approximations of Stokes flow. We show how the optimal parameter in terms of the approximating power of the method, is related to the parameter value which minimises the condition number of the associated Schur complement system for the pressure field. We illustrate the tightness of our abstract theoretical results in the cases of the Q1-P0 quadrilateral and P1-P1 triangular elements. © 1994.

Original language	English
Pages (from-to)	357-368
Number of pages	11
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	111
Issue number	3-4
Publication status	Published - 1994

Cite this

@article{0f7d8e945d20483d8169f7263d8593c4,

title = "Optimal low order finite element methods for incompressible flow",

abstract = "In this paper we consider the characterization of optimal stabilisation parameters associated with mixed finite element approximations of Stokes flow. We show how the optimal parameter in terms of the approximating power of the method, is related to the parameter value which minimises the condition number of the associated Schur complement system for the pressure field. We illustrate the tightness of our abstract theoretical results in the cases of the Q1-P0 quadrilateral and P1-P1 triangular elements. {\textcopyright} 1994.",

author = "David Silvester",

year = "1994",

language = "English",

volume = "111",

pages = "357--368",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

publisher = "Elsevier BV",

number = "3-4",

}

TY - JOUR

T1 - Optimal low order finite element methods for incompressible flow

AU - Silvester, David

PY - 1994

Y1 - 1994

N2 - In this paper we consider the characterization of optimal stabilisation parameters associated with mixed finite element approximations of Stokes flow. We show how the optimal parameter in terms of the approximating power of the method, is related to the parameter value which minimises the condition number of the associated Schur complement system for the pressure field. We illustrate the tightness of our abstract theoretical results in the cases of the Q1-P0 quadrilateral and P1-P1 triangular elements. © 1994.

AB - In this paper we consider the characterization of optimal stabilisation parameters associated with mixed finite element approximations of Stokes flow. We show how the optimal parameter in terms of the approximating power of the method, is related to the parameter value which minimises the condition number of the associated Schur complement system for the pressure field. We illustrate the tightness of our abstract theoretical results in the cases of the Q1-P0 quadrilateral and P1-P1 triangular elements. © 1994.

M3 - Article

SN - 0045-7825

VL - 111

SP - 357

EP - 368

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 3-4

ER -

Optimal low order finite element methods for incompressible flow

Abstract

Fingerprint

Cite this