A posteriori error estimates¶for nonconforming finite element schemes
Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are co...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kanschat, Guido [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Italia 1999 |
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| Übergeordnetes Werk: |
Enthalten in: Calcolo - Springer-Verlag, 1964, 36(1999), 3 vom: Sept., Seite 129-141 |
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| Übergeordnetes Werk: |
volume:36 ; year:1999 ; number:3 ; month:09 ; pages:129-141 |
| Links: |
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| DOI / URN: |
10.1007/s100920050027 |
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| Katalog-ID: |
OLC2069159787 |
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| 520 | |a Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. | ||
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10.1007/s100920050027 doi (DE-627)OLC2069159787 (DE-He213)s100920050027-p DE-627 ger DE-627 rakwb eng 510 VZ Kanschat, Guido verfasserin aut A posteriori error estimates¶for nonconforming finite element schemes 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 1999 Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. Error Estimate Weight Factor Posteriori Error Trial Function Posteriori Error Estimate Suttmeier, Franz-Theo aut Enthalten in Calcolo Springer-Verlag, 1964 36(1999), 3 vom: Sept., Seite 129-141 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:36 year:1999 number:3 month:09 pages:129-141 https://doi.org/10.1007/s100920050027 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_2409 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 36 1999 3 09 129-141 |
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10.1007/s100920050027 doi (DE-627)OLC2069159787 (DE-He213)s100920050027-p DE-627 ger DE-627 rakwb eng 510 VZ Kanschat, Guido verfasserin aut A posteriori error estimates¶for nonconforming finite element schemes 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 1999 Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. Error Estimate Weight Factor Posteriori Error Trial Function Posteriori Error Estimate Suttmeier, Franz-Theo aut Enthalten in Calcolo Springer-Verlag, 1964 36(1999), 3 vom: Sept., Seite 129-141 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:36 year:1999 number:3 month:09 pages:129-141 https://doi.org/10.1007/s100920050027 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_2409 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 36 1999 3 09 129-141 |
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10.1007/s100920050027 doi (DE-627)OLC2069159787 (DE-He213)s100920050027-p DE-627 ger DE-627 rakwb eng 510 VZ Kanschat, Guido verfasserin aut A posteriori error estimates¶for nonconforming finite element schemes 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 1999 Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. Error Estimate Weight Factor Posteriori Error Trial Function Posteriori Error Estimate Suttmeier, Franz-Theo aut Enthalten in Calcolo Springer-Verlag, 1964 36(1999), 3 vom: Sept., Seite 129-141 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:36 year:1999 number:3 month:09 pages:129-141 https://doi.org/10.1007/s100920050027 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_2409 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 36 1999 3 09 129-141 |
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10.1007/s100920050027 doi (DE-627)OLC2069159787 (DE-He213)s100920050027-p DE-627 ger DE-627 rakwb eng 510 VZ Kanschat, Guido verfasserin aut A posteriori error estimates¶for nonconforming finite element schemes 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 1999 Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. Error Estimate Weight Factor Posteriori Error Trial Function Posteriori Error Estimate Suttmeier, Franz-Theo aut Enthalten in Calcolo Springer-Verlag, 1964 36(1999), 3 vom: Sept., Seite 129-141 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:36 year:1999 number:3 month:09 pages:129-141 https://doi.org/10.1007/s100920050027 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_2409 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 36 1999 3 09 129-141 |
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10.1007/s100920050027 doi (DE-627)OLC2069159787 (DE-He213)s100920050027-p DE-627 ger DE-627 rakwb eng 510 VZ Kanschat, Guido verfasserin aut A posteriori error estimates¶for nonconforming finite element schemes 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 1999 Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. Error Estimate Weight Factor Posteriori Error Trial Function Posteriori Error Estimate Suttmeier, Franz-Theo aut Enthalten in Calcolo Springer-Verlag, 1964 36(1999), 3 vom: Sept., Seite 129-141 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:36 year:1999 number:3 month:09 pages:129-141 https://doi.org/10.1007/s100920050027 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_2409 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 36 1999 3 09 129-141 |
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Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. © Springer-Verlag Italia 1999 |
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Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. © Springer-Verlag Italia 1999 |
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Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes' equations. © Springer-Verlag Italia 1999 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2069159787</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502171405.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s1999 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s100920050027</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2069159787</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s100920050027-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kanschat, Guido</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A posteriori error estimates¶for nonconforming finite element schemes</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1999</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">© Springer-Verlag Italia 1999</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract: We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. 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