{"id":"https://openalex.org/W7127980097","doi":"https://doi.org/10.48550/arxiv.2602.05686","title":"Smoothed aggregation algebraic multigrid for problems with heterogeneous and anisotropic materials","display_name":"Smoothed aggregation algebraic multigrid for problems with heterogeneous and anisotropic materials","publication_year":2026,"publication_date":"2026-02-05","ids":{"openalex":"https://openalex.org/W7127980097","doi":"https://doi.org/10.48550/arxiv.2602.05686"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.05686","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092060642","display_name":"Max Firmbach","orcid":"https://orcid.org/0000-0001-9477-3781"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Firmbach, Max","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125212166","display_name":"Malachi Phillips","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Phillips, Malachi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068013241","display_name":"Christian Glusa","orcid":"https://orcid.org/0000-0003-2247-1914"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Glusa, Christian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069145622","display_name":"Alexander Popp","orcid":"https://orcid.org/0000-0002-8820-466X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Popp, Alexander","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125154185","display_name":"Christopher M. Siefert","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Siefert, Christopher M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5125145786","display_name":"Matthias Mayr","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mayr, Matthias","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5092060642"],"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":0.5627999901771545,"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":0.5627999901771545,"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":0.09049999713897705,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.04320000112056732,"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/multigrid-method","display_name":"Multigrid method","score":0.8317999839782715},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7397000193595886},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6251999735832214},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5113999843597412},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.4869999885559082},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.45910000801086426},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.45649999380111694},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.453900009393692}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8317999839782715},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7397000193595886},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6251999735832214},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5134999752044678},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5113999843597412},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.4869999885559082},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.45910000801086426},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.45649999380111694},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.453900009393692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4449000060558319},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4212999939918518},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.39879998564720154},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.3887999951839447},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36820000410079956},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.367000013589859},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.35899999737739563},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3490000069141388},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34540000557899475},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3407999873161316},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.2727999985218048},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.26089999079704285},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.2581999897956848},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25609999895095825}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.05686","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.05686","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.05686","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":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.05686","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,73,93],"material-aware":[4],"strength-of-connection":[5,29],"measure":[6],"for":[7,17,153],"smoothed":[8],"aggregation":[9],"algebraic":[10,147],"multigrid":[11,148],"methods,":[12],"aimed":[13],"at":[14],"improving":[15],"robustness":[16,133],"scalar":[18],"partial":[19],"differential":[20],"equations":[21],"with":[22,52],"heterogeneous":[23],"and":[24,79,101,117,124,138,142],"anisotropic":[25],"material":[26,48,65,135],"properties.":[27],"Classical":[28],"measures":[30],"typically":[31],"rely":[32],"only":[33],"on":[34],"matrix":[35],"entries":[36],"or":[37,50,105],"geometric":[38],"distances,":[39],"which":[40],"often":[41],"fail":[42],"to":[43,57],"capture":[44],"weak":[45,77],"couplings":[46],"across":[47,134],"interfaces":[49],"align":[51],"anisotropy":[53],"directions,":[54],"ultimately":[55],"leading":[56],"poor":[58],"convergence.":[59],"The":[60],"proposed":[61,130],"approach":[62],"directly":[63],"incorporates":[64],"tensor":[66],"information":[67],"into":[68],"the":[69,85,89,129,146,151],"coarsening":[70],"process,":[71],"enabling":[72],"reliable":[74],"detection":[75],"of":[76,88,114,145],"connections":[78],"ensuring":[80],"that":[81,128],"coarse":[82],"levels":[83],"preserve":[84],"true":[86],"structure":[87],"underlying":[90],"problem.":[91],"As":[92],"result,":[94],"smooth":[95],"error":[96],"components":[97],"are":[98,108],"represented":[99],"properly":[100],"sharp":[102],"coefficient":[103],"jumps":[104],"directional":[106],"anisotropies":[107],"handled":[109],"consistently.":[110],"A":[111],"wide":[112],"range":[113],"academic":[115],"tests":[116],"real-world":[118],"applications,":[119],"including":[120],"thermally":[121],"activated":[122],"batteries":[123],"solar":[125],"cells,":[126],"demonstrate":[127],"method":[131,149],"maintains":[132],"contrasts,":[136],"anisotropies,":[137],"mesh":[139],"variations.":[140],"Scalability":[141],"parallel":[143],"performance":[144],"highlight":[150],"suitability":[152],"large-scale,":[154],"high-performance":[155],"computing":[156],"environments.":[157]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2026-02-07T00:00:00"}
