A reduced basis method for frictional contact problems formulated with Nitsche's method
We develop an efficient reduced basis method for the frictional contact problem formulated using Nitsche's method. We focus on the regime of small deformations and on Tresca friction. The key idea ensuring the computational efficiency of the method is to treat the nonlinearity resulting from th...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Niakh, Idrissa Drouet, Guillaume Ehrlacher, Virginie Ern, Alexandre |
| description | We develop an efficient reduced basis method for the frictional contact
problem formulated using Nitsche's method. We focus on the regime of small
deformations and on Tresca friction. The key idea ensuring the computational
efficiency of the method is to treat the nonlinearity resulting from the
contact and friction conditions by means of the Empirical Interpolation Method.
The proposed algorithm is applied to the Hertz contact problem between two
half-disks with parameter-dependent radius. We also highlight the benefits of
the present approach with respect to the mixed (primal-dual) formulation. |
| doi_str_mv | 10.48550/arxiv.2307.11541 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2307_11541</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2307_11541</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-bb68203f13e0f7437fefc0cc5e0b66f673c17f384a72a1fbda049738c289c0dd3</originalsourceid><addsrcrecordid>eNo1j71uwyAYRVk6VGkfoFPZOtkFg4GMUdQ_KUqXSB2tjw-QkewQAenP27dJ2-kOR_dIh5Abzlpp-p7dQ_6M720nmG457yW_JG8rmr07onfUQomFzr6OydGQMg05Yo1pDxPFtK-AlR5yspOfy4nPxwnqz-8j1pFuYy04-rt_wRW5CDAVf_23C7J7fNitn5vN69PLerVpQGneWKtMx0TgwrOgpdDBB2SIvWdWqaC0QK6DMBJ0BzxYB0wutTDYmSUy58SC3P5qz2XDIccZ8tdwKhzOheIb_CtM1Q</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A reduced basis method for frictional contact problems formulated with Nitsche's method</title><source>arXiv.org</source><creator>Niakh, Idrissa ; Drouet, Guillaume ; Ehrlacher, Virginie ; Ern, Alexandre</creator><creatorcontrib>Niakh, Idrissa ; Drouet, Guillaume ; Ehrlacher, Virginie ; Ern, Alexandre</creatorcontrib><description>We develop an efficient reduced basis method for the frictional contact
problem formulated using Nitsche's method. We focus on the regime of small
deformations and on Tresca friction. The key idea ensuring the computational
efficiency of the method is to treat the nonlinearity resulting from the
contact and friction conditions by means of the Empirical Interpolation Method.
The proposed algorithm is applied to the Hertz contact problem between two
half-disks with parameter-dependent radius. We also highlight the benefits of
the present approach with respect to the mixed (primal-dual) formulation.</description><identifier>DOI: 10.48550/arxiv.2307.11541</identifier><language>eng</language><subject>Computer Science - Numerical Analysis ; Mathematics - Numerical Analysis</subject><creationdate>2023-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2307.11541$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2307.11541$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Niakh, Idrissa</creatorcontrib><creatorcontrib>Drouet, Guillaume</creatorcontrib><creatorcontrib>Ehrlacher, Virginie</creatorcontrib><creatorcontrib>Ern, Alexandre</creatorcontrib><title>A reduced basis method for frictional contact problems formulated with Nitsche's method</title><description>We develop an efficient reduced basis method for the frictional contact
problem formulated using Nitsche's method. We focus on the regime of small
deformations and on Tresca friction. The key idea ensuring the computational
efficiency of the method is to treat the nonlinearity resulting from the
contact and friction conditions by means of the Empirical Interpolation Method.
The proposed algorithm is applied to the Hertz contact problem between two
half-disks with parameter-dependent radius. We also highlight the benefits of
the present approach with respect to the mixed (primal-dual) formulation.</description><subject>Computer Science - Numerical Analysis</subject><subject>Mathematics - Numerical Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNo1j71uwyAYRVk6VGkfoFPZOtkFg4GMUdQ_KUqXSB2tjw-QkewQAenP27dJ2-kOR_dIh5Abzlpp-p7dQ_6M720nmG457yW_JG8rmr07onfUQomFzr6OydGQMg05Yo1pDxPFtK-AlR5yspOfy4nPxwnqz-8j1pFuYy04-rt_wRW5CDAVf_23C7J7fNitn5vN69PLerVpQGneWKtMx0TgwrOgpdDBB2SIvWdWqaC0QK6DMBJ0BzxYB0wutTDYmSUy58SC3P5qz2XDIccZ8tdwKhzOheIb_CtM1Q</recordid><startdate>20230721</startdate><enddate>20230721</enddate><creator>Niakh, Idrissa</creator><creator>Drouet, Guillaume</creator><creator>Ehrlacher, Virginie</creator><creator>Ern, Alexandre</creator><scope>AKY</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230721</creationdate><title>A reduced basis method for frictional contact problems formulated with Nitsche's method</title><author>Niakh, Idrissa ; Drouet, Guillaume ; Ehrlacher, Virginie ; Ern, Alexandre</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-bb68203f13e0f7437fefc0cc5e0b66f673c17f384a72a1fbda049738c289c0dd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Computer Science - Numerical Analysis</topic><topic>Mathematics - Numerical Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Niakh, Idrissa</creatorcontrib><creatorcontrib>Drouet, Guillaume</creatorcontrib><creatorcontrib>Ehrlacher, Virginie</creatorcontrib><creatorcontrib>Ern, Alexandre</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Niakh, Idrissa</au><au>Drouet, Guillaume</au><au>Ehrlacher, Virginie</au><au>Ern, Alexandre</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A reduced basis method for frictional contact problems formulated with Nitsche's method</atitle><date>2023-07-21</date><risdate>2023</risdate><abstract>We develop an efficient reduced basis method for the frictional contact
problem formulated using Nitsche's method. We focus on the regime of small
deformations and on Tresca friction. The key idea ensuring the computational
efficiency of the method is to treat the nonlinearity resulting from the
contact and friction conditions by means of the Empirical Interpolation Method.
The proposed algorithm is applied to the Hertz contact problem between two
half-disks with parameter-dependent radius. We also highlight the benefits of
the present approach with respect to the mixed (primal-dual) formulation.</abstract><doi>10.48550/arxiv.2307.11541</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2307.11541 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2307_11541 |
| source | arXiv.org |
| subjects | Computer Science - Numerical Analysis Mathematics - Numerical Analysis |
| title | A reduced basis method for frictional contact problems formulated with Nitsche's method |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-05T00%3A57%3A31IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20reduced%20basis%20method%20for%20frictional%20contact%20problems%20formulated%20with%20Nitsche's%20method&rft.au=Niakh,%20Idrissa&rft.date=2023-07-21&rft_id=info:doi/10.48550/arxiv.2307.11541&rft_dat=%3Carxiv_GOX%3E2307_11541%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |