{"id":"https://openalex.org/W7164882357","doi":"https://doi.org/10.48550/arxiv.2606.16293","title":"Isogeometric Analysis for Explicit Wave Propagation in Poroelastic Media","display_name":"Isogeometric Analysis for Explicit Wave Propagation in Poroelastic Media","publication_year":2026,"publication_date":"2026-06-15","ids":{"openalex":"https://openalex.org/W7164882357","doi":"https://doi.org/10.48550/arxiv.2606.16293"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.16293","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.16293","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2606.16293","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5117412242","display_name":"Maarten M. Hodzelmans","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hodzelmans, Maarten M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137297715","display_name":"Ren\u00e9 R. Hiemstra","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hiemstra, Ren\u00e9 R.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087674895","display_name":"Joris J. C. Remmers","orcid":"https://orcid.org/0000-0001-5823-2558"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Remmers, Joris J. C.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000097351","display_name":"Clemens V. Verhoosel","orcid":"https://orcid.org/0000-0001-9319-1552"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Verhoosel, Clemens V.","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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.7961000204086304,"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":0.7961000204086304,"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/T10514","display_name":"Numerical methods in engineering","score":0.0722000002861023,"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":0.024700000882148743,"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/poromechanics","display_name":"Poromechanics","score":0.8378000259399414},{"id":"https://openalex.org/keywords/isogeometric-analysis","display_name":"Isogeometric analysis","score":0.7635999917984009},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.757099986076355},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.6259999871253967},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5666999816894531},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4627000093460083},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4336000084877014},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.43149998784065247}],"concepts":[{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.8378000259399414},{"id":"https://openalex.org/C2780737243","wikidata":"https://www.wikidata.org/wiki/Q17082433","display_name":"Isogeometric analysis","level":3,"score":0.7635999917984009},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.757099986076355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6581000089645386},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.6259999871253967},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5666999816894531},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5590000152587891},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4627000093460083},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4336000084877014},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.43149998784065247},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4099000096321106},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.40310001373291016},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.40209999680519104},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.3982999920845032},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3671000003814697},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.34779998660087585},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.3434999883174896},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3240000009536743},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2955000102519989},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.2903999984264374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2856999933719635},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.26930001378059387}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.16293","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.16293","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.16293","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.16293","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.759750485420227}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"For":[0,123],"higher-order":[1],"discretizations":[2],"of":[3,41,73,102,184,193,214,236],"explicit":[4],"dynamics":[5],"problems,":[6],"Isogeometric":[7],"Analysis":[8,20],"(IGA)":[9],"has":[10],"several":[11],"favorable":[12],"properties":[13],"as":[14,112,114,145,147,246],"compared":[15],"to":[16,85,190],"classical":[17],"Finite":[18],"Element":[19],"(FEA).":[21],"While":[22],"FEA":[23],"produces":[24],"spurious":[25],"modes":[26,64],"at":[27],"orders":[28],"beyond":[29],"linear,":[30],"this":[31,77,241],"is":[32,56,121,226,233],"not":[33],"the":[34,54,67,74,86,100,103,106,110,119,135,142,153,162,181,191,199,231,237],"case":[35],"for":[36,45,59,134,141],"IGA.":[37],"Consequently,":[38,223],"fewer":[39],"degrees":[40],"freedom":[42],"are":[43,65,99,169],"required":[44],"comparable":[46],"accuracy,":[47],"larger":[48],"timesteps":[49],"can":[50],"be":[51],"taken,":[52],"and":[53,109,159,204],"method":[55],"more":[57],"robust":[58],"nonlinear":[60],"problems.":[61],"If":[62],"outlier":[63],"removed,":[66],"timestep":[68,232,242],"even":[69],"becomes":[70],"virtually":[71],"independent":[72,235],"order.":[75,238],"In":[76,195],"paper,":[78],"we":[79,126,157,178,197],"investigate":[80],"how":[81],"these":[82,215],"advantages":[83],"apply":[84],"poroelastic":[87],"continuum":[88],"model.":[89],"We":[90,239],"consider":[91],"both":[92,167],"a":[93,115,148],"primal":[94,143],"formulation,":[95],"wherein":[96,118],"our":[97,124],"variables":[98],"displacement":[101,137],"matrix":[104],"material,":[105],"fluid":[107,136],"displacement,":[108],"pressure,":[111],"well":[113,146],"reduced":[116,154],"form":[117],"pressure":[120],"eliminated.":[122],"discretizations,":[125],"employ":[127],"divergence-conforming":[128],"spline":[129,132,173],"spaces.":[130,174],"Conforming":[131],"spaces":[133],"ensure":[138],"inf-sup":[139],"stability":[140],"form,":[144],"correct":[149],"null":[150],"space":[151],"in":[152,221,244],"form.":[155],"Furthermore,":[156],"prove":[158],"demonstrate":[160],"that":[161,180],"two":[163],"formulations":[164],"coincide":[165],"when":[166,224],"displacements":[168],"discretized":[170,227],"with":[171,228],"conforming":[172],"Through":[175],"spectral":[176],"analysis,":[177],"find":[179],"aforementioned":[182],"benefits":[183],"IGA":[185],"do":[186],"carry":[187],"over":[188],"directly":[189],"context":[192],"poroelasticity.":[194],"1D,":[196],"split":[198],"discrete":[200],"spectrum":[201],"into":[202],"fast":[203],"slow":[205],"waves.":[206],"When":[207],"normalized":[208],"against":[209],"an":[210],"analytical":[211],"solution,":[212],"each":[213],"sub-spectra":[216],"closely":[217],"resembles":[218],"results":[219],"known":[220],"elasticity.":[222],"poroelasticity":[225],"outlier-free":[229],"IGA,":[230],"essentially":[234],"show":[240],"scaling":[243],"2D":[245],"well.":[247]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-17T00:00:00"}