{"id":"https://openalex.org/W3217615157","doi":"https://doi.org/10.1007/s10915-021-01676-9","title":"Local Energy Dissipation Rate Preserving Approximations to Driven Gradient Flows with Applications to Graphene Growth","display_name":"Local Energy Dissipation Rate Preserving Approximations to Driven Gradient Flows with Applications to Graphene Growth","publication_year":2021,"publication_date":"2021-11-19","ids":{"openalex":"https://openalex.org/W3217615157","doi":"https://doi.org/10.1007/s10915-021-01676-9","mag":"3217615157"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01676-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01676-9","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of 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/A5001198088","display_name":"Lin L\u00fc","orcid":"https://orcid.org/0000-0001-5881-892X"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Lu","raw_affiliation_strings":["Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100698097","display_name":"Qi Wang","orcid":"https://orcid.org/0000-0001-5488-2828"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qi Wang","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100653855","display_name":"Yongzhong Song","orcid":"https://orcid.org/0000-0002-8204-7616"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongzhong Song","raw_affiliation_strings":["Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038670362","display_name":"Yushun Wang","orcid":"https://orcid.org/0000-0002-6200-220X"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yushun Wang","raw_affiliation_strings":["Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038670362"],"corresponding_institution_ids":["https://openalex.org/I152031979"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.24848774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"90","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10478","display_name":"Diamond and Carbon-based Materials Research","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.8691682815551758},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.7347627282142639},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5886554718017578},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5799994468688965},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5491079688072205},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5335679054260254},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5183223485946655},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.47389641404151917},{"id":"https://openalex.org/keywords/energy-flow","display_name":"Energy flow","score":0.45917466282844543},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4590934216976166},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.45847490429878235},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4429306387901306},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4229351878166199},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3719603419303894},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3130170702934265},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22096216678619385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19315719604492188},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14105269312858582},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06500008702278137}],"concepts":[{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.8691682815551758},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.7347627282142639},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5886554718017578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5799994468688965},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5491079688072205},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5335679054260254},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5183223485946655},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.47389641404151917},{"id":"https://openalex.org/C206815995","wikidata":"https://www.wikidata.org/wiki/Q1341307","display_name":"Energy flow","level":3,"score":0.45917466282844543},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4590934216976166},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45847490429878235},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4429306387901306},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4229351878166199},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3719603419303894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3130170702934265},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22096216678619385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19315719604492188},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14105269312858582},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06500008702278137},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-021-01676-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01676-9","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8299999833106995,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2706846334","display_name":"\u9762\u5411\u5f02\u6784\u7cfb\u7edf\u7684\u53ef\u6269\u5c55\u7684\u8fed\u4ee3\u65b9\u6cd5\u5e76\u884c\u4f18\u5316\u6a21\u578b\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"61872422","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2836876721","display_name":"\u65e0\u7a77\u7ef4\u54c8\u5bc6\u5c14\u987f\u7cfb\u7edf\u4fdd\u7ed3\u6784\u7b97\u6cd5\u7684\u7814\u7a76\u4e0e\u5e94\u7528","funder_award_id":"11771213","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5464173770","display_name":null,"funder_award_id":"DMS-1815921","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6185958692","display_name":null,"funder_award_id":"OIA-1655740","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G8071153485","display_name":null,"funder_award_id":"DMS-1954532","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W227143473","https://openalex.org/W390897399","https://openalex.org/W1495643052","https://openalex.org/W1530010354","https://openalex.org/W1544770838","https://openalex.org/W1774151066","https://openalex.org/W1966227249","https://openalex.org/W1974957193","https://openalex.org/W1976156302","https://openalex.org/W1977643348","https://openalex.org/W1978254755","https://openalex.org/W1979911092","https://openalex.org/W2001780958","https://openalex.org/W2005875551","https://openalex.org/W2014949681","https://openalex.org/W2023446343","https://openalex.org/W2031130696","https://openalex.org/W2039078443","https://openalex.org/W2046528357","https://openalex.org/W2049153939","https://openalex.org/W2050969603","https://openalex.org/W2055908047","https://openalex.org/W2056965879","https://openalex.org/W2062546043","https://openalex.org/W2073259339","https://openalex.org/W2073342039","https://openalex.org/W2079688335","https://openalex.org/W2080091608","https://openalex.org/W2085347462","https://openalex.org/W2092188263","https://openalex.org/W2097450062","https://openalex.org/W2110372288","https://openalex.org/W2112352913","https://openalex.org/W2112405917","https://openalex.org/W2116705886","https://openalex.org/W2156785086","https://openalex.org/W2167347425","https://openalex.org/W2316888830","https://openalex.org/W2320470005","https://openalex.org/W2321572344","https://openalex.org/W2394745169","https://openalex.org/W2481493153","https://openalex.org/W2521393946","https://openalex.org/W2552236073","https://openalex.org/W2553930464","https://openalex.org/W2562132457","https://openalex.org/W2585262222","https://openalex.org/W2587203146","https://openalex.org/W2766149883","https://openalex.org/W2772617598","https://openalex.org/W2887352385","https://openalex.org/W2890253154","https://openalex.org/W2890263782","https://openalex.org/W2893622182","https://openalex.org/W2910738463","https://openalex.org/W2911397867","https://openalex.org/W2935129298","https://openalex.org/W2949037765","https://openalex.org/W2960066509","https://openalex.org/W2963801809","https://openalex.org/W2977203180","https://openalex.org/W2990313723","https://openalex.org/W3033669998","https://openalex.org/W3034467760","https://openalex.org/W3094403405","https://openalex.org/W4231888390","https://openalex.org/W4250579998","https://openalex.org/W6601145284"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2347486132","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W972276598","https://openalex.org/W4246352526","https://openalex.org/W2028665553","https://openalex.org/W2739525436","https://openalex.org/W4385473842"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}