{"id":"https://openalex.org/W2846817316","doi":"https://doi.org/10.1515/cmam-2018-0024","title":"Low-Rank Space-Time Decoupled Isogeometric Analysis for Parabolic Problems with Varying Coefficients","display_name":"Low-Rank Space-Time Decoupled Isogeometric Analysis for Parabolic Problems with Varying Coefficients","publication_year":2018,"publication_date":"2018-07-07","ids":{"openalex":"https://openalex.org/W2846817316","doi":"https://doi.org/10.1515/cmam-2018-0024","mag":"2846817316"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2018-0024","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0024","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-02271808v1/file/spacetime_lowrank.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003244178","display_name":"Angelos Mantzaflaris","orcid":"https://orcid.org/0000-0001-7135-1084"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Angelos Mantzaflaris","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria","AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)"],"raw_orcid":"https://orcid.org/0000-0001-7135-1084","affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]},{"raw_affiliation_string":"AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034036851","display_name":"Felix Scholz","orcid":"https://orcid.org/0000-0003-3339-0079"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Felix Scholz","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria"],"raw_orcid":"https://orcid.org/0000-0003-3339-0079","affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042196756","display_name":"Ioannis Toulopoulos","orcid":"https://orcid.org/0000-0002-3899-0594"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Ioannis Toulopoulos","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003244178"],"corresponding_institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"],"apc_list":null,"apc_paid":null,"fwci":1.6646,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.8192962,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"19","issue":"1","first_page":"123","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9469000101089478,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isogeometric-analysis","display_name":"Isogeometric analysis","score":0.632381021976471},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6209403872489929},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.619438648223877},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4604611396789551},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.44198042154312134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41758039593696594},{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.4158076047897339},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4107731282711029},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40428945422172546},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23641997575759888},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.12054505944252014},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07417643070220947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0715131163597107}],"concepts":[{"id":"https://openalex.org/C2780737243","wikidata":"https://www.wikidata.org/wiki/Q17082433","display_name":"Isogeometric analysis","level":3,"score":0.632381021976471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6209403872489929},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.619438648223877},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4604611396789551},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44198042154312134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41758039593696594},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.4158076047897339},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4107731282711029},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40428945422172546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23641997575759888},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.12054505944252014},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07417643070220947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0715131163597107},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/cmam-2018-0024","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0024","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02271808v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02271808","pdf_url":"https://inria.hal.science/hal-02271808v1/file/spacetime_lowrank.pdf","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Methods in Applied Mathematics, 2019, 19 (1), pp.123-136. &#x27E8;10.1515/cmam-2018-0024&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02271808v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02271808","pdf_url":"https://inria.hal.science/hal-02271808v1/file/spacetime_lowrank.pdf","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Methods in Applied Mathematics, 2019, 19 (1), pp.123-136. &#x27E8;10.1515/cmam-2018-0024&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7410807000","display_name":null,"funder_award_id":"NFN S117","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2846817316.pdf","grobid_xml":"https://content.openalex.org/works/W2846817316.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W337282944","https://openalex.org/W1521778258","https://openalex.org/W1954993463","https://openalex.org/W1963973528","https://openalex.org/W2000425991","https://openalex.org/W2001440251","https://openalex.org/W2117127065","https://openalex.org/W2227629823","https://openalex.org/W2257863651","https://openalex.org/W2441158876","https://openalex.org/W2509236952","https://openalex.org/W2791306541","https://openalex.org/W2808668272","https://openalex.org/W4237713727"],"related_works":["https://openalex.org/W1940709639","https://openalex.org/W1924025565","https://openalex.org/W3025313650","https://openalex.org/W2361403716","https://openalex.org/W2904061867","https://openalex.org/W4289115725","https://openalex.org/W2967798957","https://openalex.org/W2047537297","https://openalex.org/W3144644423","https://openalex.org/W2024384195"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,90,111],"paper":[3],"we":[4],"present":[5],"a":[6,33,83,94],"space-time":[7,34],"isogeometric":[8],"analysis":[9],"scheme":[10],"for":[11],"the":[12,76,98,108],"discretization":[13],"of":[14,86,97,110],"parabolic":[15],"evolution":[16],"equations":[17],"with":[18,50],"diffusion":[19],"coefficients":[20],"depending":[21],"on":[22],"both":[23],"time":[24,103],"and":[25,65,70,102],"space":[26,101],"variables.":[27],"The":[28],"problem":[29,91],"is":[30,66],"considered":[31],"in":[32,36],"cylinder":[35],"<m:math":[37,51],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[38,52],"<m:msup>":[39],"<m:mi>\u211d</m:mi>":[40],"<m:mrow>":[41,53,56],"<m:mi>d</m:mi>":[42,54],"<m:mo>+</m:mo>":[43],"<m:mn>1</m:mn>":[44],"</m:mrow>":[45,60,61],"</m:msup>":[46],"</m:math>":[47,62],"{\\mathbb{R}^{d+1}}":[48],",":[49,64],"<m:mo>=</m:mo>":[55],"<m:mn>2</m:mn>":[57],"<m:mo>,</m:mo>":[58],"<m:mn>3</m:mn>":[59],"{d=2,3}":[63],"discretized":[67],"using":[68],"higher-order":[69],"highly-smooth":[71],"spline":[72],"spaces.":[73],"This":[74],"makes":[75],"matrix":[77],"formation":[78],"task":[79],"very":[80],"challenging":[81],"from":[82],"computational":[84],"point":[85],"view.":[87],"We":[88],"overcome":[89],"by":[92],"introducing":[93],"low-rank":[95],"decoupling":[96],"operator":[99],"into":[100],"components.":[104],"Numerical":[105],"experiments":[106],"demonstrate":[107],"efficiency":[109],"approach.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
