FAMILY OF FINITE ELEMENTS WITH PENALISATION FOR THE NUMERICAL SOLUTION OF STOKES AND NAVIER-STOKES EQUATIONS.

M. Bercovier

FAMILY OF FINITE ELEMENTS WITH PENALISATION FOR THE NUMERICAL SOLUTION OF STOKES AND NAVIER-STOKES EQUATIONS.

M. Bercovier^*

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to conference › Paper › peer-review

5 Scopus citations

Abstract

By introducing a proper penalization on an approximate form of the continuity equation, the use of Lagrange multipliers, is avoided without introducing any ill-conditioning in the linear (or non-linear) systems to be solved. This construction is given for several 2D elements. Using the most accurate of these elements, an example is given of a time dependent viscous incompressible flow.

Original language	English
Pages	97-101
Number of pages	5
State	Published - 1977
Event	Inf Process '77, Proc of IFIP (Int Fed for Inf Process) Congr, 6th - Toronto, Ont, Can Duration: 8 Aug 1977 → 12 Aug 1977

Conference

Conference	Inf Process '77, Proc of IFIP (Int Fed for Inf Process) Congr, 6th
City	Toronto, Ont, Can
Period	8/08/77 → 12/08/77

Cite this

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title = "FAMILY OF FINITE ELEMENTS WITH PENALISATION FOR THE NUMERICAL SOLUTION OF STOKES AND NAVIER-STOKES EQUATIONS.",

abstract = "By introducing a proper penalization on an approximate form of the continuity equation, the use of Lagrange multipliers, is avoided without introducing any ill-conditioning in the linear (or non-linear) systems to be solved. This construction is given for several 2D elements. Using the most accurate of these elements, an example is given of a time dependent viscous incompressible flow.",

author = "M. Bercovier",

year = "1977",

language = "אנגלית",

pages = "97--101",

note = "Inf Process '77, Proc of IFIP (Int Fed for Inf Process) Congr, 6th ; Conference date: 08-08-1977 Through 12-08-1977",

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AB - By introducing a proper penalization on an approximate form of the continuity equation, the use of Lagrange multipliers, is avoided without introducing any ill-conditioning in the linear (or non-linear) systems to be solved. This construction is given for several 2D elements. Using the most accurate of these elements, an example is given of a time dependent viscous incompressible flow.

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T2 - Inf Process '77, Proc of IFIP (Int Fed for Inf Process) Congr, 6th

Y2 - 8 August 1977 through 12 August 1977

ER -

FAMILY OF FINITE ELEMENTS WITH PENALISATION FOR THE NUMERICAL SOLUTION OF STOKES AND NAVIER-STOKES EQUATIONS.

Abstract

Conference

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