{"id":"https://openalex.org/W7131371255","doi":"https://doi.org/10.48550/arxiv.2602.19854","title":"Optimal $L^2$-norm error estimate of multiphysics finite element method for poroelasticity model and simulating brain edema","display_name":"Optimal $L^2$-norm error estimate of multiphysics finite element method for poroelasticity model and simulating brain edema","publication_year":2026,"publication_date":"2026-02-23","ids":{"openalex":"https://openalex.org/W7131371255","doi":"https://doi.org/10.48550/arxiv.2602.19854"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.19854","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.19854","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2602.19854","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124192777","display_name":"Zhihao Ge","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ge, Zhihao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126687972","display_name":"Yanan He","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"He, Yanan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5126678389","display_name":"Yajie Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Yajie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.26350000500679016,"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":0.26350000500679016,"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/T11487","display_name":"Automotive and Human Injury Biomechanics","score":0.10270000249147415,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.06849999725818634,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiphysics","display_name":"Multiphysics","score":0.906499981880188},{"id":"https://openalex.org/keywords/poromechanics","display_name":"Poromechanics","score":0.826200008392334},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7786999940872192},{"id":"https://openalex.org/keywords/brain-edema","display_name":"Brain edema","score":0.4366999864578247},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4002000093460083},{"id":"https://openalex.org/keywords/brain-tissue","display_name":"Brain tissue","score":0.3774000108242035},{"id":"https://openalex.org/keywords/permeability","display_name":"Permeability (electromagnetism)","score":0.37119999527931213},{"id":"https://openalex.org/keywords/modulus","display_name":"Modulus","score":0.36800000071525574}],"concepts":[{"id":"https://openalex.org/C46435376","wikidata":"https://www.wikidata.org/wiki/Q1829750","display_name":"Multiphysics","level":3,"score":0.906499981880188},{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.826200008392334},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7786999940872192},{"id":"https://openalex.org/C3019162651","wikidata":"https://www.wikidata.org/wiki/Q979168","display_name":"Brain edema","level":2,"score":0.4366999864578247},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4002000093460083},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3822999894618988},{"id":"https://openalex.org/C2986936838","wikidata":"https://www.wikidata.org/wiki/Q492038","display_name":"Brain tissue","level":2,"score":0.3774000108242035},{"id":"https://openalex.org/C120882062","wikidata":"https://www.wikidata.org/wiki/Q28352","display_name":"Permeability (electromagnetism)","level":3,"score":0.37119999527931213},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.36800000071525574},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.35929998755455017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34610000252723694},{"id":"https://openalex.org/C2988879937","wikidata":"https://www.wikidata.org/wiki/Q39552","display_name":"Fluid pressure","level":2,"score":0.34549999237060547},{"id":"https://openalex.org/C2780954326","wikidata":"https://www.wikidata.org/wiki/Q1416096","display_name":"Intracranial pressure","level":2,"score":0.34220001101493835},{"id":"https://openalex.org/C149505630","wikidata":"https://www.wikidata.org/wiki/Q190453","display_name":"Poisson's ratio","level":3,"score":0.3285999894142151},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2806999981403351},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27320000529289246},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27230000495910645},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C113378726","wikidata":"https://www.wikidata.org/wiki/Q7310797","display_name":"Relative permeability","level":3,"score":0.265500009059906},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.26339998841285706},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.26159998774528503},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.26010000705718994}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.19854","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.19854","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2602.19854","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.19854","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,59],"derive":[4],"an":[5,22],"optimal":[6],"$L^2$-norm":[7],"error":[8],"estimate":[9],"of":[10,52,63,101,116],"the":[11,17,32,37,44,61,64,74,78,98,109,113],"multiphysics":[12,38],"finite":[13,39],"element":[14,40],"method":[15,41],"for":[16],"poroelasticity":[18],"model":[19],"by":[20,49],"introducing":[21],"auxiliary":[23],"problem.":[24],"We":[25],"show":[26],"some":[27],"numerical":[28],"tests":[29],"to":[30,42],"verify":[31],"theoretical":[33],"result":[34],"and":[35,71,84,90,112],"apply":[36],"simulate":[43],"brain":[45,69,117],"edema":[46,70],"which":[47],"caused":[48],"abnormal":[50],"accumulation":[51],"cerebrospinal":[53],"fluid":[54],"in":[55],"injured":[56],"areas.":[57],"And":[58],"investigate":[60],"effects":[62],"key":[65],"physical":[66],"parameters":[67],"on":[68,81,97,108],"observed":[72],"that":[73],"permeability":[75],"$K$":[76],"has":[77],"biggest":[79],"influence":[80],"intracranial":[82,102],"pressure":[83],"tissue":[85,110],"deformation,":[86],"Young's":[87],"modulus":[88],"$E$":[89],"Poisson":[91],"ratio":[92],"$\u03bd$":[93],"have":[94,105],"little":[95],"effect":[96,107],"maximum":[99],"value":[100],"pressure,":[103],"but":[104],"great":[106],"deformation":[111],"developing":[114],"speed":[115],"edema.":[118]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-02-26T00:00:00"}
