A rotated nonconforming rectangular mixed element for elasticity
Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as...
Ausführliche Beschreibung
Autor*in: |
Awanou, Gerard [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2009 |
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Schlagwörter: |
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Anmerkung: |
© Springer-Verlag Italia 2009 |
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Übergeordnetes Werk: |
Enthalten in: Calcolo - Springer Milan, 1964, 46(2009), 1 vom: März, Seite 49-60 |
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Übergeordnetes Werk: |
volume:46 ; year:2009 ; number:1 ; month:03 ; pages:49-60 |
Links: |
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DOI / URN: |
10.1007/s10092-009-0159-6 |
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Katalog-ID: |
OLC2069161129 |
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10.1007/s10092-009-0159-6 doi (DE-627)OLC2069161129 (DE-He213)s10092-009-0159-6-p DE-627 ger DE-627 rakwb eng 510 VZ Awanou, Gerard verfasserin aut A rotated nonconforming rectangular mixed element for elasticity 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 2009 Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconforming H2 element related to the rotated Q1 element. Mixed method nonconforming finite element elasticity Enthalten in Calcolo Springer Milan, 1964 46(2009), 1 vom: März, Seite 49-60 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:46 year:2009 number:1 month:03 pages:49-60 https://doi.org/10.1007/s10092-009-0159-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4700 AR 46 2009 1 03 49-60 |
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10.1007/s10092-009-0159-6 doi (DE-627)OLC2069161129 (DE-He213)s10092-009-0159-6-p DE-627 ger DE-627 rakwb eng 510 VZ Awanou, Gerard verfasserin aut A rotated nonconforming rectangular mixed element for elasticity 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 2009 Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconforming H2 element related to the rotated Q1 element. Mixed method nonconforming finite element elasticity Enthalten in Calcolo Springer Milan, 1964 46(2009), 1 vom: März, Seite 49-60 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:46 year:2009 number:1 month:03 pages:49-60 https://doi.org/10.1007/s10092-009-0159-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4700 AR 46 2009 1 03 49-60 |
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10.1007/s10092-009-0159-6 doi (DE-627)OLC2069161129 (DE-He213)s10092-009-0159-6-p DE-627 ger DE-627 rakwb eng 510 VZ Awanou, Gerard verfasserin aut A rotated nonconforming rectangular mixed element for elasticity 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 2009 Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconforming H2 element related to the rotated Q1 element. Mixed method nonconforming finite element elasticity Enthalten in Calcolo Springer Milan, 1964 46(2009), 1 vom: März, Seite 49-60 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:46 year:2009 number:1 month:03 pages:49-60 https://doi.org/10.1007/s10092-009-0159-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4700 AR 46 2009 1 03 49-60 |
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10.1007/s10092-009-0159-6 doi (DE-627)OLC2069161129 (DE-He213)s10092-009-0159-6-p DE-627 ger DE-627 rakwb eng 510 VZ Awanou, Gerard verfasserin aut A rotated nonconforming rectangular mixed element for elasticity 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 2009 Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconforming H2 element related to the rotated Q1 element. Mixed method nonconforming finite element elasticity Enthalten in Calcolo Springer Milan, 1964 46(2009), 1 vom: März, Seite 49-60 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:46 year:2009 number:1 month:03 pages:49-60 https://doi.org/10.1007/s10092-009-0159-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4700 AR 46 2009 1 03 49-60 |
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10.1007/s10092-009-0159-6 doi (DE-627)OLC2069161129 (DE-He213)s10092-009-0159-6-p DE-627 ger DE-627 rakwb eng 510 VZ Awanou, Gerard verfasserin aut A rotated nonconforming rectangular mixed element for elasticity 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Italia 2009 Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconforming H2 element related to the rotated Q1 element. Mixed method nonconforming finite element elasticity Enthalten in Calcolo Springer Milan, 1964 46(2009), 1 vom: März, Seite 49-60 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:46 year:2009 number:1 month:03 pages:49-60 https://doi.org/10.1007/s10092-009-0159-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4700 AR 46 2009 1 03 49-60 |
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Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconforming H2 element related to the rotated Q1 element. © Springer-Verlag Italia 2009 |
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Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconforming H2 element related to the rotated Q1 element. © Springer-Verlag Italia 2009 |
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Abstract We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconforming H2 element related to the rotated Q1 element. © Springer-Verlag Italia 2009 |
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