{"id":"https://openalex.org/W2786554260","doi":"https://doi.org/10.1090/mcom/3423","title":"Conditioning of the finite volume element method for diffusion problems with general simplicial meshes","display_name":"Conditioning of the finite volume element method for diffusion problems with general simplicial meshes","publication_year":2019,"publication_date":"2019-02-06","ids":{"openalex":"https://openalex.org/W2786554260","doi":"https://doi.org/10.1090/mcom/3423","mag":"2786554260"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3423","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3423","pdf_url":"https://www.ams.org/mcom/2019-88-320/S0025-5718-2019-03423-3/S0025-5718-2019-03423-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2019-88-320/S0025-5718-2019-03423-3/S0025-5718-2019-03423-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100389061","display_name":"Xiang Wang","orcid":"https://orcid.org/0000-0003-1504-0921"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiang Wang","raw_affiliation_strings":["School of Mathematics, Jilin University, Changchun 130012, People\u00e2\u0080\u0099s Republic of China","School of Mathematics, Jilin University, Changchun 130012, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun 130012, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun 130012, People's Republic of China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041682967","display_name":"Weizhang Huang","orcid":"https://orcid.org/0000-0002-7510-8230"},"institutions":[{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weizhang Huang","raw_affiliation_strings":["Department of Mathematics, The University of Kansas, Lawrence, Kansas 66045"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Kansas, Lawrence, Kansas 66045","institution_ids":["https://openalex.org/I146416000"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027694340","display_name":"Yonghai Li","orcid":"https://orcid.org/0000-0002-2415-7622"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yonghai Li","raw_affiliation_strings":["School of Mathematics, Jilin University, Changchun 130012, People\u00e2\u0080\u0099s Republic of China","School of Mathematics, Jilin University, Changchun 130012, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun 130012, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun 130012, People's Republic of China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100389061"],"corresponding_institution_ids":["https://openalex.org/I194450716"],"apc_list":null,"apc_paid":null,"fwci":1.1646,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75051664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"88","issue":"320","first_page":"2665","last_page":"2696"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8465293645858765},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7873269319534302},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5993900895118713},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.512854814529419},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.4918935298919678},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4856189787387848},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.44722145795822144},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.347956120967865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32033026218414307},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23937159776687622},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.09781116247177124},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.05063223838806152},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.042581140995025635}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8465293645858765},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7873269319534302},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5993900895118713},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.512854814529419},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.4918935298919678},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4856189787387848},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.44722145795822144},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.347956120967865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32033026218414307},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23937159776687622},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.09781116247177124},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.05063223838806152},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.042581140995025635},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/3423","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3423","pdf_url":"https://www.ams.org/mcom/2019-88-320/S0025-5718-2019-03423-3/S0025-5718-2019-03423-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1802.01416","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.01416","pdf_url":"https://arxiv.org/pdf/1802.01416","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/mcom/3423","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3423","pdf_url":"https://www.ams.org/mcom/2019-88-320/S0025-5718-2019-03423-3/S0025-5718-2019-03423-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1484251189","display_name":null,"funder_award_id":"JCKY2016212A502","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1710957623","display_name":null,"funder_award_id":"JCKY2016212A502","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2346247619","display_name":null,"funder_award_id":"U1630249","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2383639406","display_name":null,"funder_award_id":"201506170088","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G2397568677","display_name":null,"funder_award_id":"201506170088","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2475817594","display_name":null,"funder_award_id":"11701211","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G3071332044","display_name":null,"funder_award_id":"U1630249","funder_id":"https://openalex.org/F4320321536","funder_display_name":"China Academy of Engineering Physics"},{"id":"https://openalex.org/G4063232438","display_name":null,"funder_award_id":"2017M620106","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4485104995","display_name":null,"funder_award_id":"201506170088","funder_id":"https://openalex.org/F4320321536","funder_display_name":"China Academy of Engineering Physics"},{"id":"https://openalex.org/G4761072973","display_name":null,"funder_award_id":"U1630249","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G5453823671","display_name":null,"funder_award_id":"11701211","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G6095438660","display_name":null,"funder_award_id":"11701211","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6475279454","display_name":null,"funder_award_id":"201506170088","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7121499890","display_name":null,"funder_award_id":"U1630249","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G7226060615","display_name":null,"funder_award_id":"2017M620106","funder_id":"https://openalex.org/F4320321536","funder_display_name":"China Academy of Engineering Physics"},{"id":"https://openalex.org/G740841598","display_name":null,"funder_award_id":"2017M620106","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7508195076","display_name":null,"funder_award_id":"JCKY2016212A502","funder_id":"https://openalex.org/F4320321536","funder_display_name":"China Academy of Engineering Physics"},{"id":"https://openalex.org/G8124296993","display_name":null,"funder_award_id":"11701211","funder_id":"https://openalex.org/F4320321536","funder_display_name":"China Academy of Engineering Physics"},{"id":"https://openalex.org/G8367451141","display_name":null,"funder_award_id":"2017M620106","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G8649945304","display_name":null,"funder_award_id":"JCKY2016212A502","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321536","display_name":"China Academy of Engineering Physics","ror":"https://ror.org/039vqpp67"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2786554260.pdf","grobid_xml":"https://content.openalex.org/works/W2786554260.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W118271839","https://openalex.org/W135868273","https://openalex.org/W1174663876","https://openalex.org/W1492326914","https://openalex.org/W1505377314","https://openalex.org/W1521920611","https://openalex.org/W1586307467","https://openalex.org/W1601728065","https://openalex.org/W1866311589","https://openalex.org/W1963872100","https://openalex.org/W1978321922","https://openalex.org/W1981510480","https://openalex.org/W1982494491","https://openalex.org/W1982519991","https://openalex.org/W1986550841","https://openalex.org/W1989806103","https://openalex.org/W2004719710","https://openalex.org/W2004874682","https://openalex.org/W2022527567","https://openalex.org/W2022591932","https://openalex.org/W2023963475","https://openalex.org/W2032916960","https://openalex.org/W2033130775","https://openalex.org/W2036818032","https://openalex.org/W2038162840","https://openalex.org/W2051995249","https://openalex.org/W2055271100","https://openalex.org/W2068395392","https://openalex.org/W2076642757","https://openalex.org/W2085540192","https://openalex.org/W2090813019","https://openalex.org/W2094855393","https://openalex.org/W2118348882","https://openalex.org/W2121613024","https://openalex.org/W2150242204","https://openalex.org/W2150874139","https://openalex.org/W2159595645","https://openalex.org/W2282164966","https://openalex.org/W2510657622","https://openalex.org/W2613462647","https://openalex.org/W2615932191","https://openalex.org/W2616246801","https://openalex.org/W2891273113","https://openalex.org/W2962831842","https://openalex.org/W4211221555","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W2017968036","https://openalex.org/W2752501457","https://openalex.org/W2376992165","https://openalex.org/W3016132316","https://openalex.org/W1601688333","https://openalex.org/W3174219354","https://openalex.org/W2171421712","https://openalex.org/W3106617480","https://openalex.org/W2784995402","https://openalex.org/W2056259617"],"abstract_inverted_index":{"The":[0,19],"conditioning":[1],"of":[2,27,32,40,55,97,113,168],"the":[3,25,28,33,37,49,52,56,62,69,75,85,94,98,105,111,114,117,119,124,128,133,137,146,152,155,160],"linear":[4,64],"finite":[5],"volume":[6],"element":[7],"discretization":[8],"for":[9,61,74,84,93,165],"general":[10],"diffusion":[11,139],"equations":[12],"is":[13,22,46,66,77,102,142],"studied":[14],"on":[15,108],"arbitrary":[16],"simplicial":[17],"meshes.":[18],"condition":[20],"number":[21,112],"defined":[23],"as":[24],"ratio":[26,76],"maximal":[29,86],"singular":[30,87],"value":[31,88],"stiffness":[34],"matrix":[35],"to":[36],"minimal":[38,58,95],"eigenvalue":[39,96],"its":[41],"symmetric":[42,99],"part.":[43,100],"This":[44],"definition":[45],"motivated":[47],"by":[48,68,79,136],"fact":[50],"that":[51,104,145],"convergence":[53],"rate":[54],"generalized":[57],"residual":[59],"method":[60],"corresponding":[63],"systems":[65],"determined":[67],"ratio.":[70],"An":[71],"upper":[72,82],"bound":[73,83,92,106],"established":[78],"developing":[80],"an":[81],"and":[89,127,173],"a":[90,166],"lower":[91],"It":[101,141],"shown":[103,144],"depends":[107],"three":[109,174],"factors:":[110],"elements":[115],"in":[116,123,132,159,170],"mesh,":[118],"mesh":[120,129,156],"nonuniformity":[121,130,157],"measured":[122,131,158],"Euclidean":[125,161],"metric,":[126],"metric":[134],"specified":[135],"inverse":[138],"matrix.":[140],"also":[143],"diagonal":[147],"scaling":[148],"can":[149],"effectively":[150],"eliminate":[151],"effects":[153],"from":[154],"metric.":[162],"Numerical":[163],"results":[164],"selection":[167],"examples":[169],"one,":[171],"two,":[172],"dimensions":[175],"are":[176],"presented.":[177]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":4}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2018-02-23T00:00:00"}