{"id":"https://openalex.org/W1971771898","doi":"https://doi.org/10.1007/s10107-006-0014-3","title":"Mesh shape-quality optimization using the inverse mean-ratio metric","display_name":"Mesh shape-quality optimization using the inverse mean-ratio metric","publication_year":2006,"publication_date":"2006-08-01","ids":{"openalex":"https://openalex.org/W1971771898","doi":"https://doi.org/10.1007/s10107-006-0014-3","mag":"1971771898"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-006-0014-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0014-3","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086190700","display_name":"Todd Munson","orcid":"https://orcid.org/0000-0002-0030-3648"},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Todd Munson","raw_affiliation_strings":["Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, 60439, USA","Argonne National Laboratory, Mathematics and Computer Science Division, 60439, Argonne, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, 60439, USA","institution_ids":["https://openalex.org/I1282105669"]},{"raw_affiliation_string":"Argonne National Laboratory, Mathematics and Computer Science Division, 60439, Argonne, IL, USA#TAB#","institution_ids":["https://openalex.org/I1282105669"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086190700"],"corresponding_institution_ids":["https://openalex.org/I1282105669"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.5214,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.95915975,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"110","issue":"3","first_page":"561","last_page":"590"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9984999895095825,"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/preconditioner","display_name":"Preconditioner","score":0.8088973760604858},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7092939019203186},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6643706560134888},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5741065740585327},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5253697633743286},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5227394700050354},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5076454877853394},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.468900591135025},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4225974977016449},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33520057797431946},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.21671020984649658},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20743349194526672},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12261980772018433}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8088973760604858},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7092939019203186},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6643706560134888},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5741065740585327},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5253697633743286},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5227394700050354},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5076454877853394},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.468900591135025},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4225974977016449},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33520057797431946},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.21671020984649658},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20743349194526672},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12261980772018433},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-006-0014-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0014-3","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.100.9681","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.100.9681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mcs.anl.gov/~tmunson/papers/shape.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.101.873","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.873","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mcs.anl.gov/~tmunson/papers/shape_tet.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"No poverty","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/1"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W21024468","https://openalex.org/W60870657","https://openalex.org/W612879516","https://openalex.org/W1480098164","https://openalex.org/W1488751037","https://openalex.org/W1490180844","https://openalex.org/W1492326914","https://openalex.org/W1506342804","https://openalex.org/W1508335918","https://openalex.org/W1550210730","https://openalex.org/W1560207203","https://openalex.org/W1579057532","https://openalex.org/W1585773866","https://openalex.org/W1969811075","https://openalex.org/W1971536112","https://openalex.org/W1972446443","https://openalex.org/W1979382551","https://openalex.org/W1983864872","https://openalex.org/W1986604141","https://openalex.org/W2012229545","https://openalex.org/W2028914463","https://openalex.org/W2031140167","https://openalex.org/W2045622192","https://openalex.org/W2071166325","https://openalex.org/W2090963365","https://openalex.org/W2093404847","https://openalex.org/W2095420020","https://openalex.org/W2102779916","https://openalex.org/W2117774341","https://openalex.org/W2118536731","https://openalex.org/W2119946195","https://openalex.org/W2129412583","https://openalex.org/W2137373077","https://openalex.org/W2141717881","https://openalex.org/W2142477230","https://openalex.org/W2150874139","https://openalex.org/W2160317488","https://openalex.org/W2166173515","https://openalex.org/W2786741601","https://openalex.org/W2917891345","https://openalex.org/W3022352883","https://openalex.org/W3029645440","https://openalex.org/W4249667877","https://openalex.org/W4293775970","https://openalex.org/W4299512035","https://openalex.org/W6607772399","https://openalex.org/W6662484094"],"related_works":["https://openalex.org/W2357336958","https://openalex.org/W4281839678","https://openalex.org/W2159515580","https://openalex.org/W1972467547","https://openalex.org/W2091325992","https://openalex.org/W2059625160","https://openalex.org/W2006453807","https://openalex.org/W3194092090","https://openalex.org/W2062932012","https://openalex.org/W1758973489"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-09T15:46:55.921056","created_date":"2025-10-10T00:00:00"}