{"id":"https://openalex.org/W3093619807","doi":"https://doi.org/10.1137/19m1292618","title":"Mixed-Dimensional Auxiliary Space Preconditioners","display_name":"Mixed-Dimensional Auxiliary Space Preconditioners","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3093619807","doi":"https://doi.org/10.1137/19m1292618","mag":"3093619807"},"language":"en","primary_location":{"id":"doi:10.1137/19m1292618","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1292618","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/A5061001231","display_name":"Ana Budi\u0161a","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ana Budi\u0161a","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065838227","display_name":"Wietse M. Boon","orcid":"https://orcid.org/0000-0003-4080-2369"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wietse M. Boon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029270343","display_name":"Xiaozhe Hu","orcid":"https://orcid.org/0000-0001-7533-0416"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaozhe Hu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0804,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74010046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"42","issue":"5","first_page":"A3367","last_page":"A3396"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T10514","display_name":"Numerical methods in engineering","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8687946200370789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7964226007461548},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.670130729675293},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6128895282745361},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.49653393030166626},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49286961555480957},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4730502665042877},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.46446675062179565},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4587100148200989},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4567888379096985},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3678608536720276},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.21316581964492798},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1722593903541565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09329935908317566}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8687946200370789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7964226007461548},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.670130729675293},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6128895282745361},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.49653393030166626},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49286961555480957},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4730502665042877},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.46446675062179565},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4587100148200989},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4567888379096985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3678608536720276},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.21316581964492798},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1722593903541565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09329935908317566},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1292618","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1292618","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":[{"id":"https://openalex.org/G2125778048","display_name":"SFB 1313: Grenzfl\u00e4chenbeeinflusste Mehrfeldprozesse in por\u00f6sen Medien  Str\u00f6mung, Transport und Deformation","funder_award_id":"327154368","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6763030320","display_name":null,"funder_award_id":"250223","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G8429373620","display_name":null,"funder_award_id":"DMS-1620063","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1548892666","https://openalex.org/W1973709085","https://openalex.org/W1980053021","https://openalex.org/W2005047411","https://openalex.org/W2010804587","https://openalex.org/W2016365515","https://openalex.org/W2023234572","https://openalex.org/W2046324243","https://openalex.org/W2075993982","https://openalex.org/W2138486270","https://openalex.org/W2139155801","https://openalex.org/W2143783905","https://openalex.org/W2147874172","https://openalex.org/W2578146255","https://openalex.org/W2962837672"],"related_works":["https://openalex.org/W4229577910","https://openalex.org/W2800324324","https://openalex.org/W2640255794","https://openalex.org/W2026707481","https://openalex.org/W2791597622","https://openalex.org/W2743060302","https://openalex.org/W2117656216","https://openalex.org/W2626358056","https://openalex.org/W3047336714","https://openalex.org/W2054089597"],"abstract_inverted_index":{"This":[0],"work":[1],"introduces":[2],"nodal":[3,53,58],"auxiliary":[4,65],"space":[5,66],"preconditioners":[6,59,67],"for":[7],"discretizations":[8],"of":[9,31,52,68,85,91],"mixed-dimensional":[10],"partial":[11],"differential":[12],"equations.":[13],"We":[14],"first":[15],"consider":[16],"the":[17,22,29,43,64,83,89],"continuous":[18],"setting":[19],"and":[20,46,70],"generalize":[21],"regular":[23],"decomposition":[24,49],"to":[25,42,63],"this":[26,86],"setting.":[27],"With":[28],"use":[30],"conforming":[32],"mixed":[33],"finite":[34],"element":[35],"spaces,":[36],"we":[37],"then":[38],"expand":[39],"these":[40],"results":[41],"discrete":[44],"case":[45],"obtain":[47],"a":[48],"in":[50,88,93],"terms":[51],"Lagrange":[54],"elements.":[55],"In":[56],"turn,":[57],"are":[60],"proposed":[61],"analogous":[62],"Hiptmair":[69],"Xu":[71],"[SIAM":[72],"J.":[73],"Numer.":[74],"Anal.,":[75],"45":[76],"(2007),":[77],"pp.":[78],"2483--2509].":[79],"Numerical":[80],"experiments":[81],"show":[82],"performance":[84],"preconditioner":[87],"context":[90],"flow":[92],"fractured":[94],"porous":[95],"media.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
