{"id":"https://openalex.org/W3131202234","doi":"https://doi.org/10.1007/s00211-022-01331-x","title":"Newton\u2013Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model","display_name":"Newton\u2013Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model","publication_year":2022,"publication_date":"2022-11-08","ids":{"openalex":"https://openalex.org/W3131202234","doi":"https://doi.org/10.1007/s00211-022-01331-x","mag":"3131202234"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-022-01331-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-022-01331-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-022-01331-x.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-022-01331-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029295864","display_name":"Ngoc Mai Monica Huynh","orcid":"https://orcid.org/0000-0003-3639-5844"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ngoc Mai Monica Huynh","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 degli Studi di Pavia, Pavia, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3639-5844","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Pavia, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029295864"],"corresponding_institution_ids":["https://openalex.org/I25217355"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.3758,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.7971134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"152","issue":"4","first_page":"841","last_page":"879"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.994700014591217,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.994700014591217,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9937999844551086,"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/discretization","display_name":"Discretization","score":0.7688460946083069},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.6335457563400269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6029577851295471},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.586707592010498},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5802298784255981},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5711115002632141},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4811176657676697},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4523991346359253},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4479745924472809},{"id":"https://openalex.org/keywords/bidomain-model","display_name":"Bidomain model","score":0.4139358699321747},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3359169363975525},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3067340850830078},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25196051597595215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2413434088230133},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11134928464889526},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10109871625900269},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.06263574957847595}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7688460946083069},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.6335457563400269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6029577851295471},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.586707592010498},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5802298784255981},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5711115002632141},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4811176657676697},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4523991346359253},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4479745924472809},{"id":"https://openalex.org/C2778674958","wikidata":"https://www.wikidata.org/wiki/Q4904213","display_name":"Bidomain model","level":2,"score":0.4139358699321747},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3359169363975525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3067340850830078},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25196051597595215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2413434088230133},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11134928464889526},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10109871625900269},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.06263574957847595},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-022-01331-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-022-01331-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-022-01331-x.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2102.08736","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.08736","pdf_url":"https://arxiv.org/pdf/2102.08736","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s00211-022-01331-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-022-01331-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-022-01331-x.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322874","display_name":"Universit\u00e0 degli Studi di Pavia","ror":"https://ror.org/00s6t1f81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3131202234.pdf","grobid_xml":"https://content.openalex.org/works/W3131202234.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W133512119","https://openalex.org/W308857445","https://openalex.org/W906907082","https://openalex.org/W1548589512","https://openalex.org/W1550726172","https://openalex.org/W1971812145","https://openalex.org/W1976561044","https://openalex.org/W1977098804","https://openalex.org/W1982935319","https://openalex.org/W1984617357","https://openalex.org/W1990431915","https://openalex.org/W2000867371","https://openalex.org/W2009375605","https://openalex.org/W2019221864","https://openalex.org/W2028146834","https://openalex.org/W2036041154","https://openalex.org/W2036874203","https://openalex.org/W2040702578","https://openalex.org/W2042294250","https://openalex.org/W2068395392","https://openalex.org/W2071953960","https://openalex.org/W2082451374","https://openalex.org/W2096585592","https://openalex.org/W2103486983","https://openalex.org/W2106619956","https://openalex.org/W2114516874","https://openalex.org/W2119718628","https://openalex.org/W2130321115","https://openalex.org/W2140153041","https://openalex.org/W2157071675","https://openalex.org/W2164004956","https://openalex.org/W2164870423","https://openalex.org/W2419555779","https://openalex.org/W2497351868","https://openalex.org/W2515366205","https://openalex.org/W2603136976","https://openalex.org/W2740364290","https://openalex.org/W2748930739","https://openalex.org/W2770488629","https://openalex.org/W2796049844","https://openalex.org/W2797243013","https://openalex.org/W2802851452","https://openalex.org/W2802932066","https://openalex.org/W2898458682","https://openalex.org/W2946033751","https://openalex.org/W2962098197","https://openalex.org/W3084357525","https://openalex.org/W3119350200"],"related_works":["https://openalex.org/W2083456832","https://openalex.org/W122199293","https://openalex.org/W1988019892","https://openalex.org/W4242744943","https://openalex.org/W2125018991","https://openalex.org/W2052114622","https://openalex.org/W4205192118","https://openalex.org/W2886067037","https://openalex.org/W2562964647","https://openalex.org/W4311074794"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"novel":[2],"theoretical":[3],"convergence":[4,79],"rate":[5,80],"estimate":[6],"for":[7,17,66,82,106],"a":[8,41,47,78],"Balancing":[9],"Domain":[10],"Decomposition":[11],"by":[12,93],"Constraints":[13],"algorithm":[14],"is":[15,55,91],"proven":[16],"the":[18,21,26,29,33,58,63,67,70,83,99,111],"solution":[19,49,68],"of":[20,28,69,101,110],"cardiac":[22,34],"bidomain":[23,112],"model,":[24],"describing":[25],"propagation":[27],"electric":[30],"impulse":[31],"in":[32],"tissue.":[35],"The":[36,51,89],"non-linear":[37,71],"system":[38,60],"arises":[39],"from":[40,57],"fully":[42],"implicit":[43,107],"time":[44,108],"discretization":[45],"and":[46,76,103],"monolithic":[48],"approach.":[50],"preconditioned":[52],"non-symmetric":[53],"operator":[54],"constructed":[56],"linearized":[59],"arising":[61],"within":[62],"Newton\u2013Krylov":[64],"approach":[65],"problem;":[72],"we":[73],"theoretically":[74],"analyze":[75],"prove":[77],"bound":[81],"Generalised":[84],"Minimal":[85],"Residual":[86],"iterations\u2019":[87],"residual.":[88],"theory":[90],"confirmed":[92],"extensive":[94],"parallel":[95],"numerical":[96],"tests,":[97],"widening":[98],"class":[100],"robust":[102],"efficient":[104],"solvers":[105],"discretizations":[109],"model.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
