A stable finite element for the stokes equations
Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies t...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Arnold, D. N. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1984 |
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| Schlagwörter: |
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| Anmerkung: |
© Instituto di Elaborazione della Informazione del CNR 1984 |
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| Übergeordnetes Werk: |
Enthalten in: Calcolo - Springer-Verlag, 1964, 21(1984), 4 vom: Dez., Seite 337-344 |
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| Übergeordnetes Werk: |
volume:21 ; year:1984 ; number:4 ; month:12 ; pages:337-344 |
| Links: |
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| DOI / URN: |
10.1007/BF02576171 |
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| Katalog-ID: |
OLC2069157369 |
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| 520 | |a Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element. | ||
| 650 | 4 | |a Stokes Problem | |
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10.1007/BF02576171 doi (DE-627)OLC2069157369 (DE-He213)BF02576171-p DE-627 ger DE-627 rakwb eng 510 VZ Arnold, D. N. verfasserin aut A stable finite element for the stokes equations 1984 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Instituto di Elaborazione della Informazione del CNR 1984 Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element. Stokes Problem Mixed Finite Element Mixed Finite Element Method Bubble Function Finite Element Method Solution Brezzi, F. aut Fortin, M. aut Enthalten in Calcolo Springer-Verlag, 1964 21(1984), 4 vom: Dez., Seite 337-344 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:21 year:1984 number:4 month:12 pages:337-344 https://doi.org/10.1007/BF02576171 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 AR 21 1984 4 12 337-344 |
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10.1007/BF02576171 doi (DE-627)OLC2069157369 (DE-He213)BF02576171-p DE-627 ger DE-627 rakwb eng 510 VZ Arnold, D. N. verfasserin aut A stable finite element for the stokes equations 1984 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Instituto di Elaborazione della Informazione del CNR 1984 Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element. Stokes Problem Mixed Finite Element Mixed Finite Element Method Bubble Function Finite Element Method Solution Brezzi, F. aut Fortin, M. aut Enthalten in Calcolo Springer-Verlag, 1964 21(1984), 4 vom: Dez., Seite 337-344 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:21 year:1984 number:4 month:12 pages:337-344 https://doi.org/10.1007/BF02576171 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 AR 21 1984 4 12 337-344 |
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10.1007/BF02576171 doi (DE-627)OLC2069157369 (DE-He213)BF02576171-p DE-627 ger DE-627 rakwb eng 510 VZ Arnold, D. N. verfasserin aut A stable finite element for the stokes equations 1984 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Instituto di Elaborazione della Informazione del CNR 1984 Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element. Stokes Problem Mixed Finite Element Mixed Finite Element Method Bubble Function Finite Element Method Solution Brezzi, F. aut Fortin, M. aut Enthalten in Calcolo Springer-Verlag, 1964 21(1984), 4 vom: Dez., Seite 337-344 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:21 year:1984 number:4 month:12 pages:337-344 https://doi.org/10.1007/BF02576171 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 AR 21 1984 4 12 337-344 |
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10.1007/BF02576171 doi (DE-627)OLC2069157369 (DE-He213)BF02576171-p DE-627 ger DE-627 rakwb eng 510 VZ Arnold, D. N. verfasserin aut A stable finite element for the stokes equations 1984 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Instituto di Elaborazione della Informazione del CNR 1984 Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element. Stokes Problem Mixed Finite Element Mixed Finite Element Method Bubble Function Finite Element Method Solution Brezzi, F. aut Fortin, M. aut Enthalten in Calcolo Springer-Verlag, 1964 21(1984), 4 vom: Dez., Seite 337-344 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:21 year:1984 number:4 month:12 pages:337-344 https://doi.org/10.1007/BF02576171 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 AR 21 1984 4 12 337-344 |
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Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element. © Instituto di Elaborazione della Informazione del CNR 1984 |
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Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element. © Instituto di Elaborazione della Informazione del CNR 1984 |
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Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element. © Instituto di Elaborazione della Informazione del CNR 1984 |
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N.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A stable finite element for the stokes equations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1984</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Instituto di Elaborazione della Informazione del CNR 1984</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stokes Problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mixed Finite Element</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mixed Finite Element Method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bubble Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite Element Method Solution</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Brezzi, F.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fortin, M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Calcolo</subfield><subfield code="d">Springer-Verlag, 1964</subfield><subfield code="g">21(1984), 4 vom: Dez., Seite 337-344</subfield><subfield code="w">(DE-627)129456330</subfield><subfield code="w">(DE-600)199549-2</subfield><subfield code="w">(DE-576)014819511</subfield><subfield code="x">0008-0624</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:21</subfield><subfield code="g">year:1984</subfield><subfield code="g">number:4</subfield><subfield code="g">month:12</subfield><subfield code="g">pages:337-344</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02576171</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2004</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4046</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">21</subfield><subfield code="j">1984</subfield><subfield code="e">4</subfield><subfield code="c">12</subfield><subfield code="h">337-344</subfield></datafield></record></collection>
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