{"id":"https://openalex.org/W7203637925","doi":"https://doi.org/10.48550/arxiv.2608.14162","title":"TOGEARI: Interaction-Space Preconditioning for Condensed Finite-Element Systems with IPC Contact","display_name":"TOGEARI: Interaction-Space Preconditioning for Condensed Finite-Element Systems with IPC Contact","publication_year":2026,"publication_date":"2026-08-14","ids":{"openalex":"https://openalex.org/W7203637925","doi":"https://doi.org/10.48550/arxiv.2608.14162"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.14162","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.14162","pdf_url":"https://arxiv.org/pdf/2608.14162","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.14162","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147347748","display_name":"Yanlin Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Liu, Yanlin","raw_affiliation_strings":["The University of Melbourne"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Melbourne","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5147351530","display_name":"Chao Huang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huang, Chao","raw_affiliation_strings":["Shanghai Jiao Tong University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137701169","display_name":"Kaixiang Yao","orcid":"https://orcid.org/0009-0004-4096-5007","observed_orcids":["https://orcid.org/0009-0004-4096-5007"]},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao, Kaixiang","raw_affiliation_strings":["Southern University of Science,Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southern University of Science,Technology","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036188864","display_name":"Yao Shen","orcid":"https://orcid.org/0000-0002-5228-2471","observed_orcids":["https://orcid.org/0000-0002-5228-2471","https://orcid.org/0009-0005-8603-2314","https://orcid.org/0009-0008-6301-1395"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shen, Yao","raw_affiliation_strings":["Shanghai Jiao Tong University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.8583999872207642,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.8583999872207642,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.08749999850988388,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.03359999880194664,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/krylov-subspace-acceleration","display_name":"Krylov subspace acceleration","score":0.6990000009536743},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.7379999756813049},{"id":"https://openalex.org/keywords/perturbation-bounds","display_name":"perturbation bounds","score":0.7710000276565552},{"id":"https://openalex.org/keywords/newton-s-method","display_name":"Newton's method","score":0.5320000052452087},{"id":"https://openalex.org/keywords/frictional-contact","display_name":"frictional contact","score":0.39100000262260437}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5271000266075134},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5060999989509583},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5034000277519226},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.4927000105381012},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.48429998755455017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4794999957084656},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4733000099658966},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4487000107765198},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4343999922275543},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.40470001101493835},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.3928999900817871},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38359999656677246},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.3783999979496002},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.3716000020503998},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3596000075340271},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.3434999883174896},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2824000120162964},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27950000762939453},{"id":"https://openalex.org/C203311528","wikidata":"https://www.wikidata.org/wiki/Q34132","display_name":"Cylinder","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.26019999384880066},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.2574000060558319},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25270000100135803}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.14162","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.14162","pdf_url":"https://arxiv.org/pdf/2608.14162","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.14162","doi":"https://doi.org/10.48550/arxiv.2608.14162","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.14162","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.14162","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.14162","pdf_url":"https://arxiv.org/pdf/2608.14162","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203637925.pdf","grobid_xml":"https://content.openalex.org/works/W7203637925.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W91529423","https://openalex.org/W2024621437","https://openalex.org/W2041876368","https://openalex.org/W2057796127","https://openalex.org/W2090927004","https://openalex.org/W2934320772","https://openalex.org/W2943113976","https://openalex.org/W2963631308","https://openalex.org/W3048889784","https://openalex.org/W3208239223","https://openalex.org/W4224903327","https://openalex.org/W4286616168","https://openalex.org/W4389574995","https://openalex.org/W4391282611","https://openalex.org/W4400267018","https://openalex.org/W4405110744","https://openalex.org/W4410166062","https://openalex.org/W4414991612","https://openalex.org/W7138844945","https://openalex.org/W7152032364","https://openalex.org/W7155415229","https://openalex.org/W7168734030"],"related_works":["https://openalex.org/W4232703256","https://openalex.org/W4252681859","https://openalex.org/W1514228496","https://openalex.org/W2516529284","https://openalex.org/W7016354021","https://openalex.org/W4281660948","https://openalex.org/W1848849174","https://openalex.org/W2887450379","https://openalex.org/W4414991612","https://openalex.org/W4239656840"],"abstract_inverted_index":{"TOGEARI":[0],"constructs":[1],"a":[2,26,35,68,97,159],"compressed":[3,175],"contact":[4,13,20,61],"correction":[5],"for":[6],"condensed":[7],"finite-element":[8],"equations":[9],"with":[10,127,168],"incremental":[11],"potential":[12],"(IPC).":[14],"A":[15,72,143,174],"core-conditioned":[16],"interaction":[17],"matrix":[18],"ranks":[19],"combinations":[21],"by":[22],"their":[23,217],"mechanical":[24],"responses;":[25],"raw-factor":[27],"proxy":[28],"acquires":[29],"only":[30],"the":[31,39,43,83,171,209,213],"retained":[32],"responses.":[33],"For":[34],"symmetric":[36],"positive-definite":[37],"core,":[38],"reference":[40,219],"analysis":[41],"gives":[42],"exact":[44],"spectrum,":[45],"scaled":[46],"inverse":[47],"error":[48],"and":[49,67,76,92,123,133,155,188,193,220],"optimal":[50],"worst":[51],"omitted":[52],"interaction.":[53],"The":[54,204],"selected":[55,102],"responses":[56],"are":[57],"maintained":[58],"through":[59],"signed":[60],"changes":[62],"using":[63],"supported":[64],"operator":[65,211],"images":[66],"small":[69],"coarse":[70],"matrix.":[71],"complementary":[73],"Schur":[74],"spectrum":[75],"perturbation":[77],"bounds":[78],"connect":[79],"this":[80],"construction":[81],"to":[82,110],"full":[84,113],"current":[85],"linear":[86],"equation,":[87],"damped":[88],"local":[89,221],"Newton":[90,206],"steps":[91],"compatible":[93],"episode":[94],"reuse.":[95],"On":[96],"325,260-coordinate":[98],"finger/cup":[99],"problem,":[100],"eight":[101],"directions":[103],"reduce":[104],"Krylov":[105],"work":[106],"from":[107],"eleven":[108],"columns":[109],"five,":[111],"matching":[112,120],"contact.":[114],"Two":[115],"reversed-order":[116],"load":[117],"studies":[118],"give":[119],"anchored":[121],"displacements":[122],"accepted":[124],"normal":[125],"reactions,":[126],"28.8-29.3":[128],"percent":[129,135,149,157],"less":[130,136],"warm":[131],"time":[132,138,152,167],"5.1-5.3":[134],"complete":[137,205],"than":[139],"per-step":[140],"direct":[141,154],"refactorization.":[142],"completed":[144],"twelve-episode":[145],"run":[146],"saves":[147],"18.8":[148],"of":[150],"total":[151],"against":[153,158],"2.8":[156],"held":[160],"factor.":[161],"Full":[162],"response":[163,172],"caching":[164],"has":[165],"comparable":[166],"7.5":[169],"times":[170],"storage.":[173],"repeat":[176],"terminates":[177],"at":[178],"an":[179],"energy":[180],"line":[181],"search;":[182],"separate":[183],"diagnostics":[184],"identify":[185],"constitutive":[186],"cancellation":[187],"terminal-backtracking":[189],"sensitivity.":[190],"Larger-contact,":[191],"held-out-load":[192],"frictional":[194],"comparisons":[195],"show":[196],"where":[197],"compression":[198],"or":[199],"preparation":[200],"loses":[201],"its":[202],"advantage.":[203],"equation":[207],"remains":[208],"residual":[210],"throughout;":[212],"convergence":[214],"guarantees":[215],"retain":[216],"stated":[218],"hypotheses.":[222]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-18T00:00:00"}