{"id":"https://openalex.org/W2068340809","doi":"https://doi.org/10.1090/s0025-5718-00-01263-1","title":"Stabilized wavelet approximations of the Stokes problem","display_name":"Stabilized wavelet approximations of the Stokes problem","publication_year":2000,"publication_date":"2000-07-21","ids":{"openalex":"https://openalex.org/W2068340809","doi":"https://doi.org/10.1090/s0025-5718-00-01263-1","mag":"2068340809"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-00-01263-1","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01263-1","pdf_url":"https://www.ams.org/mcom/2001-70-236/S0025-5718-00-01263-1/S0025-5718-00-01263-1.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2001-70-236/S0025-5718-00-01263-1/S0025-5718-00-01263-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007738501","display_name":"Claudio Canuto","orcid":"https://orcid.org/0000-0002-8481-0312"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Claudio Canuto","raw_affiliation_strings":["Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy","Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24 10129 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24 10129 Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033676643","display_name":"Roland Masson","orcid":"https://orcid.org/0009-0006-8713-3069"},"institutions":[{"id":"https://openalex.org/I2540865","display_name":"Institut Fran\u00e7ais","ror":"https://ror.org/047hdnt12","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2540865"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Roland Masson","raw_affiliation_strings":["D\u00c3\u00a9partement Informatique Scientifique et Math\u00c3\u00a9matiques Appliqu\u00c3\u00a9es, Institut Fran\u00c3\u00a7ais du P\u00c3\u00a9trole, BP 311, 92852 Rueil Malmaison Cedex, France","D\u00e9partement Informatique Scientifique et Math\u00e9matiques Appliqu\u00e9es, Institut Fran\u00e7ais du P\u00e9trole, BP 311, 92852 Rueil Malmaison Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00c3\u00a9partement Informatique Scientifique et Math\u00c3\u00a9matiques Appliqu\u00c3\u00a9es, Institut Fran\u00c3\u00a7ais du P\u00c3\u00a9trole, BP 311, 92852 Rueil Malmaison Cedex, France","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement Informatique Scientifique et Math\u00e9matiques Appliqu\u00e9es, Institut Fran\u00e7ais du P\u00e9trole, BP 311, 92852 Rueil Malmaison Cedex, France","institution_ids":["https://openalex.org/I2540865"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3858,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70043103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"70","issue":"236","first_page":"1397","last_page":"1416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7190589308738708},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6350184082984924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5758472681045532},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5700976252555847},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5466225743293762},{"id":"https://openalex.org/keywords/biorthogonal-system","display_name":"Biorthogonal system","score":0.47070595622062683},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3611132502555847},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32735639810562134},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2381267249584198},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2306632697582245},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.21021413803100586}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7190589308738708},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6350184082984924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5758472681045532},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5700976252555847},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5466225743293762},{"id":"https://openalex.org/C158453530","wikidata":"https://www.wikidata.org/wiki/Q864692","display_name":"Biorthogonal system","level":4,"score":0.47070595622062683},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3611132502555847},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32735639810562134},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2381267249584198},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2306632697582245},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.21021413803100586}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1090/s0025-5718-00-01263-1","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01263-1","pdf_url":"https://www.ams.org/mcom/2001-70-236/S0025-5718-00-01263-1/S0025-5718-00-01263-1.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.104.8059","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.8059","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2001-70-236/S0025-5718-00-01263-1/S0025-5718-00-01263-1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.50.3169","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.3169","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://calvino.polito.it/~ccanuto/papers/sstok.ps.gz","raw_type":"text"},{"id":"pmh:oai:porto.polito.it:1398424","is_oa":false,"landing_page_url":"http://porto.polito.it/1398424/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0025-5718","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-00-01263-1","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01263-1","pdf_url":"https://www.ams.org/mcom/2001-70-236/S0025-5718-00-01263-1/S0025-5718-00-01263-1.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2068340809.pdf","grobid_xml":"https://content.openalex.org/works/W2068340809.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1483446983","https://openalex.org/W1539855477","https://openalex.org/W1608434507","https://openalex.org/W1852082788","https://openalex.org/W1966077455","https://openalex.org/W1966823702","https://openalex.org/W1984526005","https://openalex.org/W1986608219","https://openalex.org/W1987030962","https://openalex.org/W2001672622","https://openalex.org/W2002873284","https://openalex.org/W2015219711","https://openalex.org/W2021589053","https://openalex.org/W2025957493","https://openalex.org/W2033686842","https://openalex.org/W2038192551","https://openalex.org/W2041228506","https://openalex.org/W2045050233","https://openalex.org/W2058618683","https://openalex.org/W2064216226","https://openalex.org/W2066090268","https://openalex.org/W2098914003","https://openalex.org/W2102922757","https://openalex.org/W2115566547","https://openalex.org/W2157743882","https://openalex.org/W2250850254","https://openalex.org/W2911695249","https://openalex.org/W3005363104","https://openalex.org/W3132971798","https://openalex.org/W3149667697","https://openalex.org/W3162821801","https://openalex.org/W4236548481","https://openalex.org/W4240786568","https://openalex.org/W6628966664","https://openalex.org/W6795898219"],"related_works":["https://openalex.org/W2277711487","https://openalex.org/W1979962587","https://openalex.org/W2143594841","https://openalex.org/W2392630444","https://openalex.org/W2094417884","https://openalex.org/W2393392404","https://openalex.org/W2596943072","https://openalex.org/W1982938998","https://openalex.org/W4235464119","https://openalex.org/W2089102937"],"abstract_inverted_index":{"We":[0,74],"propose":[1],"a":[2,15,20],"new":[3],"consistent,":[4],"residual-based":[5],"stabilization":[6],"of":[7,23,50,56,78],"the":[8,24,31,51,76,79],"Stokes":[9],"problem.":[10],"The":[11,60],"stabilizing":[12,80],"term":[13,81],"involves":[14],"pseudo-differential":[16],"operator,":[17],"defined":[18],"via":[19],"wavelet":[21],"expansion":[22],"test":[25],"pressures.":[26],"This":[27],"yields":[28],"control":[29],"on":[30],"full":[32],"<inline-formula":[33],"content-type=\"math/mathml\">":[34],"<mml:math":[35],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[36],"alttext=\"upper":[37],"L":[38],"squared\">":[39],"<mml:semantics>":[40],"<mml:msup>":[41],"<mml:mi>L</mml:mi>":[42],"<mml:mn>2</mml:mn>":[43],"</mml:msup>":[44],"<mml:annotation":[45],"encoding=\"application/x-tex\">L^2</mml:annotation>":[46],"</mml:semantics>":[47],"</mml:math>":[48],"</inline-formula>-norm":[49],"resulting":[52],"approximate":[53],"pressure":[54],"independently":[55],"any":[57],"discretization":[58,72],"parameter.":[59],"method":[61],"is":[62],"particularly":[63],"well":[64],"suited":[65],"for":[66],"being":[67],"applied":[68],"within":[69],"an":[70],"adaptive":[71],"strategy.":[73],"detail":[75],"realization":[77],"through":[82],"biorthogonal":[83],"spline":[84],"wavelets,":[85],"and":[86],"we":[87],"provide":[88],"some":[89],"numerical":[90],"results.":[91]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}