{"id":"https://openalex.org/W2071582219","doi":"https://doi.org/10.1137/s1064827595293594","title":"Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results","display_name":"Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results","publication_year":1998,"publication_date":"1998-09-01","ids":{"openalex":"https://openalex.org/W2071582219","doi":"https://doi.org/10.1137/s1064827595293594","mag":"2071582219"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827595293594","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827595293594","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5108209720","display_name":"I. Aavatsmark","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"I. Aavatsmark","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044114746","display_name":"T. Barkve","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. Barkve","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035452728","display_name":"\u00d8. B\u00f8e","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"O. B\u00f8e","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006406763","display_name":"Trond Mannseth","orcid":"https://orcid.org/0000-0001-6171-6545"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. Mannseth","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108209720"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.343,"has_fulltext":false,"cited_by_count":189,"citation_normalized_percentile":{"value":0.92007797,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"19","issue":"5","first_page":"1717","last_page":"1736"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9976000189781189,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9944000244140625,"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/discretization","display_name":"Discretization","score":0.91794753074646},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.8322098851203918},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.645148515701294},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.575724720954895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.552547037601471},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5017578601837158},{"id":"https://openalex.org/keywords/rotational-invariance","display_name":"Rotational invariance","score":0.49404123425483704},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48674488067626953},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4746571183204651},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37518811225891113},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36274388432502747},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25292500853538513},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24643436074256897},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2168911099433899},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18318116664886475},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11927935481071472}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.91794753074646},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.8322098851203918},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.645148515701294},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.575724720954895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.552547037601471},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5017578601837158},{"id":"https://openalex.org/C33098168","wikidata":"https://www.wikidata.org/wiki/Q108537107","display_name":"Rotational invariance","level":2,"score":0.49404123425483704},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48674488067626953},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4746571183204651},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37518811225891113},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36274388432502747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25292500853538513},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24643436074256897},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2168911099433899},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18318116664886475},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11927935481071472},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827595293594","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827595293594","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1967005434","https://openalex.org/W1979821272","https://openalex.org/W2007628212","https://openalex.org/W2007882808","https://openalex.org/W2021867586","https://openalex.org/W2024054122","https://openalex.org/W2030574846","https://openalex.org/W2034170310","https://openalex.org/W2038991247","https://openalex.org/W2058221859","https://openalex.org/W2076642757","https://openalex.org/W2152734519","https://openalex.org/W2491549679","https://openalex.org/W4292081050"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W1493245244","https://openalex.org/W3012733398","https://openalex.org/W4388482258"],"abstract_inverted_index":{"A":[0],"companion":[1],"paper,":[2],"Part":[3],"I":[4],"[SIAM":[5],"J.":[6],"Sci.":[7],"Comput.,":[8],"19":[9],"(1998),":[10],"pp.":[11],"1700--1716],":[12],"presents":[13],"discretization":[14],"methods":[15,27,63],"for":[16],"control-volume":[17],"formulations":[18],"in":[19],"two":[20],"space":[21],"dimensions.":[22],"Properties":[23],"of":[24,39,50,61],"the":[25,37,62],"developed":[26],"are":[28,64],"further":[29],"discussed,":[30],"including":[31],"rotational":[32,73],"invariance":[33],"and":[34,59,72],"stability":[35],"under":[36],"influence":[38],"anisotropy.":[40],"Strong":[41],"anisotropy":[42],"may":[43],"have":[44],"to":[45],"be":[46],"handled":[47],"by":[48],"use":[49],"stretched":[51],"grid":[52],"cells.":[53],"Numerical":[54],"examples":[55,67],"that":[56],"demonstrate":[57],"strengths":[58],"weaknesses":[60],"presented.":[65],"The":[66],"focus":[68],"on":[69],"inhomogeneity,":[70],"anisotropy,":[71],"invariance.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}