{"id":"https://openalex.org/W4361279799","doi":"https://doi.org/10.3390/computation11040071","title":"Online Multiscale Finite Element Simulation of Thermo-Mechanical Model with Phase Change","display_name":"Online Multiscale Finite Element Simulation of Thermo-Mechanical Model with Phase Change","publication_year":2023,"publication_date":"2023-03-29","ids":{"openalex":"https://openalex.org/W4361279799","doi":"https://doi.org/10.3390/computation11040071"},"language":"en","primary_location":{"id":"doi:10.3390/computation11040071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11040071","pdf_url":"https://www.mdpi.com/2079-3197/11/4/71/pdf?version=1680086187","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/4/71/pdf?version=1680086187","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030409601","display_name":"Dmitry Ammosov","orcid":"https://orcid.org/0000-0002-8616-9397"},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Dmitry Ammosov","raw_affiliation_strings":["Laboratory of Computational Technologies for Modeling Multiphysical and Multiscale Permafrost Processes, North-Eastern Federal University, 677980 Yakutsk, Russia"],"affiliations":[{"raw_affiliation_string":"Laboratory of Computational Technologies for Modeling Multiphysical and Multiscale Permafrost Processes, North-Eastern Federal University, 677980 Yakutsk, Russia","institution_ids":["https://openalex.org/I131550537"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056227060","display_name":"Maria Vasilyeva","orcid":"https://orcid.org/0000-0001-8664-8921"},"institutions":[{"id":"https://openalex.org/I96749437","display_name":"Texas A&M University \u2013 Corpus Christi","ror":"https://ror.org/01mrfdz82","country_code":"US","type":"education","lineage":["https://openalex.org/I96749437"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Maria Vasilyeva","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas A&M University-Corpus Christi, Corpus Christi, TX 78412, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas A&M University-Corpus Christi, Corpus Christi, TX 78412, USA","institution_ids":["https://openalex.org/I96749437"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056227060"],"corresponding_institution_ids":["https://openalex.org/I96749437"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.7865,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74495553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"11","issue":"4","first_page":"71","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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/T11558","display_name":"Composite Material Mechanics","score":0.9995999932289124,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9990000128746033,"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/linearization","display_name":"Linearization","score":0.7126957774162292},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7125720977783203},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6409306526184082},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.5021460056304932},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5009467601776123},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4746471047401428},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.466748982667923},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.44819700717926025},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.4479210674762726},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4216480851173401},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4179522395133972},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38255563378334045},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3432355523109436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.289515882730484},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.271652489900589},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.17550164461135864},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.17431208491325378},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.1708434522151947},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16930899024009705},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15855056047439575},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09361058473587036}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7126957774162292},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7125720977783203},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6409306526184082},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5021460056304932},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5009467601776123},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4746471047401428},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.466748982667923},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.44819700717926025},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4479210674762726},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4216480851173401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4179522395133972},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38255563378334045},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3432355523109436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.289515882730484},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.271652489900589},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.17550164461135864},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.17431208491325378},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.1708434522151947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16930899024009705},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15855056047439575},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09361058473587036},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation11040071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11040071","pdf_url":"https://www.mdpi.com/2079-3197/11/4/71/pdf?version=1680086187","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:63a4da4cc31948a5bc5595df9ef0bcc2","is_oa":true,"landing_page_url":"https://doaj.org/article/63a4da4cc31948a5bc5595df9ef0bcc2","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 4, p 71 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/11/4/71/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation11040071","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation; Volume 11; Issue 4; Pages: 71","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation11040071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11040071","pdf_url":"https://www.mdpi.com/2079-3197/11/4/71/pdf?version=1680086187","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3087226799","display_name":null,"funder_award_id":"23-71-30013","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4361279799.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W612879516","https://openalex.org/W1498712972","https://openalex.org/W1568256341","https://openalex.org/W1973712431","https://openalex.org/W1979258861","https://openalex.org/W1999265542","https://openalex.org/W2003289481","https://openalex.org/W2011301426","https://openalex.org/W2035407113","https://openalex.org/W2040981140","https://openalex.org/W2053477124","https://openalex.org/W2075211410","https://openalex.org/W2126028850","https://openalex.org/W2158189140","https://openalex.org/W2172103961","https://openalex.org/W2317469244","https://openalex.org/W2397681181","https://openalex.org/W2594677851","https://openalex.org/W2755750300","https://openalex.org/W2755848975","https://openalex.org/W2804137839","https://openalex.org/W2906203044","https://openalex.org/W2938865440","https://openalex.org/W2984569295","https://openalex.org/W2989573061","https://openalex.org/W3081286942","https://openalex.org/W3097397708","https://openalex.org/W3119434003","https://openalex.org/W3193909341","https://openalex.org/W4245654886","https://openalex.org/W4254697896","https://openalex.org/W4281707898","https://openalex.org/W4285499386","https://openalex.org/W4293244084","https://openalex.org/W4311462016","https://openalex.org/W6629924883"],"related_works":["https://openalex.org/W2393554192","https://openalex.org/W2359463116","https://openalex.org/W2362875760","https://openalex.org/W392422591","https://openalex.org/W1968527418","https://openalex.org/W2392518446","https://openalex.org/W2214518107","https://openalex.org/W2122637380","https://openalex.org/W2362127092","https://openalex.org/W2011733828"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,25,59,116],"thermo-mechanical":[4,20],"model":[5,21,57,106,125],"with":[6,115,203],"phase":[7,146,152,172],"transition":[8,153,173],"considering":[9],"changes":[10,140],"in":[11,141],"the":[12,16,36,67,75,78,82,85,95,109,123,127,133,145,151,163,171,181,184,192,200],"mechanical":[13],"properties":[14],"of":[15,27,55,77,84,112,135,150,159,183,206],"medium.":[17],"The":[18,64,148,157,175],"proposed":[19,176],"is":[22,62,71],"described":[23],"by":[24,46,139],"system":[26],"partial":[28],"differential":[29],"equations":[30],"for":[31,121],"temperature":[32],"and":[33,48,89,126,168],"displacements.":[34],"In":[35],"model,":[37],"soil":[38,114,136],"deformations":[39],"occur":[40],"due":[41,143],"to":[42,73,144,170],"porosity":[43,142],"growth":[44],"caused":[45,138],"ice":[47],"water":[49],"density":[50],"differences.":[51],"A":[52,104],"finite-element":[53],"approximation":[54],"this":[56],"on":[58,94],"fine":[60],"grid":[61],"presented.":[63],"linearization":[65],"from":[66],"previous":[68],"time":[69],"step":[70],"used":[72],"handle":[74],"nonlinearity":[76],"problem.":[79],"For":[80],"reducing":[81],"size":[83,182],"discrete":[86,185],"problem,":[87],"offline":[88,201],"online":[90,193],"multiscale":[91,128,177,194],"approaches":[92,178],"based":[93],"Generalized":[96],"Multiscale":[97],"Finite":[98],"Element":[99],"Method":[100],"(GMsFEM)":[101],"are":[102],"proposed.":[103],"two-dimensional":[105],"problem":[107,186],"simulating":[108],"heaving":[110,137],"process":[111,134],"heterogeneous":[113],"stiff":[117],"inclusion":[118],"was":[119,155,166],"considered":[120],"testing":[122],"mathematical":[124],"approaches.":[129],"Numerical":[130],"solutions":[131],"depict":[132],"transition.":[147],"movement":[149],"interface":[154],"observed.":[156],"change":[158],"medium":[160],"properties,":[161],"including":[162],"elastic":[164],"modulus,":[165],"traced":[167],"corresponds":[169],"interface.":[174],"significantly":[179],"reduce":[180],"while":[187],"maintaining":[188],"reasonable":[189],"accuracy.":[190],"However,":[191],"approach":[195,202],"achieves":[196],"better":[197],"accuracy":[198],"than":[199],"fewer":[204],"degrees":[205],"freedom.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}