{"id":"https://openalex.org/W4416904019","doi":"https://doi.org/10.1137/25m1734142","title":"An \\(hp\\) Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations","display_name":"An \\(hp\\) Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations","publication_year":2025,"publication_date":"2025-12-02","ids":{"openalex":"https://openalex.org/W4416904019","doi":"https://doi.org/10.1137/25m1734142"},"language":"en","primary_location":{"id":"doi:10.1137/25m1734142","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1734142","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030213953","display_name":"Nils Margenberg","orcid":"https://orcid.org/0000-0003-2089-5545"},"institutions":[{"id":"https://openalex.org/I4210138551","display_name":"University Hospital Magdeburg","ror":"https://ror.org/03m04df46","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210138551"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nils Margenberg","raw_affiliation_strings":["Corresponding author. University of Magdeburg, Institute for Analysis and Numerics, Universit\u00e4tsplatz 2, 39104 Magdeburg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2089-5545","affiliations":[{"raw_affiliation_string":"Corresponding author. University of Magdeburg, Institute for Analysis and Numerics, Universit\u00e4tsplatz 2, 39104 Magdeburg, Germany","institution_ids":["https://openalex.org/I4210138551"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040109393","display_name":"Markus Bause","orcid":"https://orcid.org/0000-0003-1180-4250"},"institutions":[{"id":"https://openalex.org/I190134885","display_name":"Helmut Schmidt University","ror":"https://ror.org/04e8jbs38","country_code":"DE","type":"education","lineage":["https://openalex.org/I190134885"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Bause","raw_affiliation_strings":["Faculty of Mechanical and Civil Engineering, Helmut Schmidt University, 22043 Hamburg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1180-4250","affiliations":[{"raw_affiliation_string":"Faculty of Mechanical and Civil Engineering, Helmut Schmidt University, 22043 Hamburg, Germany","institution_ids":["https://openalex.org/I190134885"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115844143","display_name":"Peter Munch","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Munch","raw_affiliation_strings":["Faculty of Mathematics, Technical University Berlin, 10623 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Technical University Berlin, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33569911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"6","first_page":"B1503","last_page":"B1529"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.6098999977111816,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.6098999977111816,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.10400000214576721,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.08209999650716782,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6467000246047974},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6168000102043152},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.46140000224113464},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.42980000376701355},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.40560001134872437},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.40149998664855957},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.34369999170303345}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7311000227928162},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6467000246047974},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6168000102043152},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4968000054359436},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.46140000224113464},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45500001311302185},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.42980000376701355},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.40560001134872437},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.40149998664855957},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.34369999170303345},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.3287000060081482},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.31839999556541443},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C2988766672","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference scheme","level":2,"score":0.2612999975681305},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.2590000033378601},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.25440001487731934}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/25m1734142","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m1734142","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1691509152","https://openalex.org/W1969098340","https://openalex.org/W1969605668","https://openalex.org/W2018225490","https://openalex.org/W2033251621","https://openalex.org/W2047496230","https://openalex.org/W2050733052","https://openalex.org/W2052158395","https://openalex.org/W2065884217","https://openalex.org/W2131363101","https://openalex.org/W2402468387","https://openalex.org/W2524221349","https://openalex.org/W2545270568","https://openalex.org/W2581973763","https://openalex.org/W2594128612","https://openalex.org/W2754120606","https://openalex.org/W2775486295","https://openalex.org/W2781806938","https://openalex.org/W2789358514","https://openalex.org/W2802365918","https://openalex.org/W2930992592","https://openalex.org/W2939578506","https://openalex.org/W2978939434","https://openalex.org/W3075242664","https://openalex.org/W3094360093","https://openalex.org/W3120401416","https://openalex.org/W3136794491","https://openalex.org/W3185139506","https://openalex.org/W3213458207","https://openalex.org/W4210830077","https://openalex.org/W4229840132","https://openalex.org/W4230055019","https://openalex.org/W4313334512","https://openalex.org/W4317884298","https://openalex.org/W4319991596","https://openalex.org/W4320501952","https://openalex.org/W4381277789","https://openalex.org/W4384826135","https://openalex.org/W4388506909","https://openalex.org/W4394786034","https://openalex.org/W4396771322","https://openalex.org/W4402555875","https://openalex.org/W4411329670"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-12-02T00:00:00"}