{"id":"https://openalex.org/W2052084709","doi":"https://doi.org/10.1090/s0025-5718-00-01270-9","title":"Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle","display_name":"Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle","publication_year":2000,"publication_date":"2000-05-23","ids":{"openalex":"https://openalex.org/W2052084709","doi":"https://doi.org/10.1090/s0025-5718-00-01270-9","mag":"2052084709"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-00-01270-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01270-9","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01270-9/S0025-5718-00-01270-9.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":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01270-9/S0025-5718-00-01270-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061709350","display_name":"Sergey Korotov","orcid":"https://orcid.org/0000-0003-1995-2450"},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Sergey Korotov","raw_affiliation_strings":["University of Jyv\u00c3\u00a4skyl\u00c3\u00a4, Department of Mathematical Information Technology, P.O. Box 35, FIN\u00e2\u0080\u009340351 Jyv\u00c3\u00a4skyl\u00c3\u00a4, Finland","University of Jyv\u00e4skyl\u00e4, Department of Mathematical Information Technology, P.O. Box 35, FIN-40351 Jyv\u00e4skyl\u00e4, Finland"],"affiliations":[{"raw_affiliation_string":"University of Jyv\u00c3\u00a4skyl\u00c3\u00a4, Department of Mathematical Information Technology, P.O. Box 35, FIN\u00e2\u0080\u009340351 Jyv\u00c3\u00a4skyl\u00c3\u00a4, Finland","institution_ids":["https://openalex.org/I94722563"]},{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4, Department of Mathematical Information Technology, P.O. Box 35, FIN-40351 Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026285170","display_name":"Michal K\u0159\u00ed\u017eek","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Michal K\u0159\u00ed\u017eek","raw_affiliation_strings":["Mathematical Institute, Academy of Sciences, \u017ditn\u00e1 25, CZ-11567 Prague 1, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences, \u017ditn\u00e1 25, CZ-11567 Prague 1, Czech Republic","institution_ids":["https://openalex.org/I4210120266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006710481","display_name":"Pekka Neittaanm\u00e4ki","orcid":"https://orcid.org/0000-0001-6629-8100"},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Pekka Neittaanm\u00e4ki","raw_affiliation_strings":["University of Jyv\u00c3\u00a4skyl\u00c3\u00a4, Department of Mathematical Information Technology, P.O. Box 35, FIN\u00e2\u0080\u009340351 Jyv\u00c3\u00a4skyl\u00c3\u00a4, Finland","University of Jyv\u00e4skyl\u00e4, Department of Mathematical Information Technology, P.O. Box 35, FIN-40351 Jyv\u00e4skyl\u00e4, Finland"],"affiliations":[{"raw_affiliation_string":"University of Jyv\u00c3\u00a4skyl\u00c3\u00a4, Department of Mathematical Information Technology, P.O. Box 35, FIN\u00e2\u0080\u009340351 Jyv\u00c3\u00a4skyl\u00c3\u00a4, Finland","institution_ids":["https://openalex.org/I94722563"]},{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4, Department of Mathematical Information Technology, P.O. Box 35, FIN-40351 Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061709350"],"corresponding_institution_ids":["https://openalex.org/I94722563"],"apc_list":null,"apc_paid":null,"fwci":1.7669,"has_fulltext":true,"cited_by_count":130,"citation_normalized_percentile":{"value":0.83782934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"70","issue":"233","first_page":"107","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9988999962806702,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.9097793698310852},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6302827596664429},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5895677208900452},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5875290036201477},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5769214630126953},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5708290338516235},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.5560761094093323},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.549376904964447},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.5329034924507141},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5260410308837891},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4872495234012604},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4849088788032532},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.4835086166858673},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4829499125480652},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.42104634642601013},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4143970310688019},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.32144731283187866},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.08689650893211365}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9097793698310852},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6302827596664429},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5895677208900452},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5875290036201477},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5769214630126953},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5708290338516235},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.5560761094093323},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.549376904964447},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.5329034924507141},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5260410308837891},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4872495234012604},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4849088788032532},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.4835086166858673},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4829499125480652},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42104634642601013},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4143970310688019},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32144731283187866},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.08689650893211365},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-00-01270-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01270-9","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01270-9/S0025-5718-00-01270-9.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:CiteSeerX.psu:10.1.1.102.9707","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.9707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2001-70-233/S0025-5718-00-01270-9/S0025-5718-00-01270-9.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.207.2731","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.207.2731","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/2001-70-233/S0025-5718-00-01270-9/S0025-5718-00-01270-9.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-00-01270-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01270-9","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01270-9/S0025-5718-00-01270-9.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":[{"id":"https://metadata.un.org/sdg/11","score":0.4399999976158142,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G3609107129","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2052084709.pdf","grobid_xml":"https://content.openalex.org/works/W2052084709.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W41827812","https://openalex.org/W1866311589","https://openalex.org/W1980189987","https://openalex.org/W2015872029","https://openalex.org/W2034029678","https://openalex.org/W2034843240","https://openalex.org/W2035156567","https://openalex.org/W2038254501","https://openalex.org/W2044355921","https://openalex.org/W2057747669","https://openalex.org/W2078987050","https://openalex.org/W2098990162","https://openalex.org/W2144047659","https://openalex.org/W2164375431","https://openalex.org/W2569133694","https://openalex.org/W2620713005","https://openalex.org/W3035235874","https://openalex.org/W4229625517","https://openalex.org/W4255625201","https://openalex.org/W4292360407","https://openalex.org/W4293032004"],"related_works":["https://openalex.org/W2771042763","https://openalex.org/W4211240924","https://openalex.org/W2031281152","https://openalex.org/W4302321938","https://openalex.org/W2031042701","https://openalex.org/W2155570364","https://openalex.org/W2078009219","https://openalex.org/W1577749127","https://openalex.org/W4292923857","https://openalex.org/W2345591051"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"a":[3,26,43,50],"discrete":[4],"maximum":[5],"principle":[6],"holds":[7],"for":[8,15,58],"continuous":[9],"piecewise":[10],"linear":[11],"finite":[12],"element":[13],"approximations":[14],"the":[16,20,29,54,59],"Poisson":[17],"equation":[18],"with":[19],"Dirichlet":[21],"boundary":[22],"condition":[23,27,57],"also":[24],"under":[25],"of":[28,31,38,40,42,53],"existence":[30],"some":[32],"obtuse":[33],"internal":[34],"angles":[35],"between":[36],"faces":[37],"terahedra":[39],"triangulations":[41],"given":[44],"space":[45],"domain.":[46],"This":[47],"result":[48],"represents":[49],"weakened":[51],"form":[52],"acute":[55],"type":[56],"three-dimensional":[60],"case.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}