{"id":"https://openalex.org/W2963194159","doi":"https://doi.org/10.1515/amcs-2017-0037","title":"Accurate gradient computations at interfaces using finite element methods","display_name":"Accurate gradient computations at interfaces using finite element methods","publication_year":2017,"publication_date":"2017-09-01","ids":{"openalex":"https://openalex.org/W2963194159","doi":"https://doi.org/10.1515/amcs-2017-0037","mag":"2963194159"},"language":"en","primary_location":{"id":"doi:10.1515/amcs-2017-0037","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2017-0037","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/27/3/article-p527.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://content.sciendo.com/downloadpdf/journals/amcs/27/3/article-p527.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001825975","display_name":"Fangfang Qin","orcid":null},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangfang Qin","raw_affiliation_strings":["School of Science , Nanjing University of Posts and Telecommunications , Nanjing , Jiangsu, 210023 China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science , Nanjing University of Posts and Telecommunications , Nanjing , Jiangsu, 210023 China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115601938","display_name":"Zhaohui Wang","orcid":"https://orcid.org/0009-0006-4990-2349"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhaohui Wang","raw_affiliation_strings":["Department of Mathematics , North Carolina State University , Raleigh , NC 27695 , United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , North Carolina State University , Raleigh , NC 27695 , United States of America","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100315408","display_name":"Zhijie Ma","orcid":"https://orcid.org/0000-0002-7376-5480"},"institutions":[{"id":"https://openalex.org/I4210092032","display_name":"China Institute of Water Resources and Hydropower Research","ror":"https://ror.org/00m4czf33","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210092032"]},{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijie Ma","raw_affiliation_strings":["China Institute of Water Resource and Hydropower Research (IWHR) , Beijing , 100038 China","College of Resource and Environment , Wuhan University of Technology , Wuhan , 430070 China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"China Institute of Water Resource and Hydropower Research (IWHR) , Beijing , 100038 China","institution_ids":["https://openalex.org/I4210092032"]},{"raw_affiliation_string":"College of Resource and Environment , Wuhan University of Technology , Wuhan , 430070 China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101930655","display_name":"Zhilin Li","orcid":"https://orcid.org/0000-0002-1636-5376"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhilin Li","raw_affiliation_strings":["Department of Mathematics , North Carolina State University , Raleigh , NC 27695 , United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , North Carolina State University , Raleigh , NC 27695 , United States of America","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101930655"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.2469,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5953454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"3","first_page":"527","last_page":"537"},"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":1.0,"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":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/finite-element-method","display_name":"Finite element method","score":0.8141089677810669},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.7823566794395447},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7124381065368652},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6821613311767578},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.5415714979171753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5216379761695862},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4984781742095947},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.4714665710926056},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45731374621391296},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44802790880203247},{"id":"https://openalex.org/keywords/finite-element-limit-analysis","display_name":"Finite element limit analysis","score":0.43337929248809814},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35599392652511597},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34176701307296753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32867273688316345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3136819005012512},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25319772958755493},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.10127457976341248},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0687132477760315},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.06783303618431091}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.8141089677810669},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.7823566794395447},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7124381065368652},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6821613311767578},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.5415714979171753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5216379761695862},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4984781742095947},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.4714665710926056},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45731374621391296},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44802790880203247},{"id":"https://openalex.org/C93949632","wikidata":"https://www.wikidata.org/wiki/Q5450392","display_name":"Finite element limit analysis","level":4,"score":0.43337929248809814},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35599392652511597},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34176701307296753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32867273688316345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3136819005012512},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25319772958755493},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.10127457976341248},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0687132477760315},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.06783303618431091},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/amcs-2017-0037","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2017-0037","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/27/3/article-p527.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c156760995d040b1a6c9bcb35d05b453","is_oa":false,"landing_page_url":"https://doaj.org/article/c156760995d040b1a6c9bcb35d05b453","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 27, Iss 3, Pp 527-537 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/amcs-2017-0037","is_oa":true,"landing_page_url":"https://doi.org/10.1515/amcs-2017-0037","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/27/3/article-p527.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G536287346","display_name":null,"funder_award_id":"1522768","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8800134252","display_name":null,"funder_award_id":"DMS-1522768","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963194159.pdf","grobid_xml":"https://content.openalex.org/works/W2963194159.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W64778705","https://openalex.org/W285197588","https://openalex.org/W574578250","https://openalex.org/W1480560153","https://openalex.org/W1504855536","https://openalex.org/W1514658588","https://openalex.org/W1548066750","https://openalex.org/W1575849776","https://openalex.org/W1595515622","https://openalex.org/W1997235068","https://openalex.org/W1997612340","https://openalex.org/W2042199582","https://openalex.org/W2042669113","https://openalex.org/W2057508676","https://openalex.org/W2058625005","https://openalex.org/W2066215158","https://openalex.org/W2099193593","https://openalex.org/W2115590682","https://openalex.org/W2145502115","https://openalex.org/W2145870001","https://openalex.org/W2245399982","https://openalex.org/W2265372622","https://openalex.org/W2333041132","https://openalex.org/W2338456806","https://openalex.org/W2477989241","https://openalex.org/W2599621596","https://openalex.org/W3204708751","https://openalex.org/W4292920489"],"related_works":["https://openalex.org/W1567939749","https://openalex.org/W1977906733","https://openalex.org/W2367880982","https://openalex.org/W2350013512","https://openalex.org/W2021654023","https://openalex.org/W1573186872","https://openalex.org/W4254088695","https://openalex.org/W2134127411","https://openalex.org/W2185206193","https://openalex.org/W2165887158"],"abstract_inverted_index":{"Abstract":[0],"New":[1],"finite":[2,81,101],"element":[3,82,102],"methods":[4],"are":[5],"proposed":[6],"for":[7,118,140,145],"elliptic":[8],"interface":[9,36,54,66],"problems":[10],"in":[11,42,98,125],"one":[12,108],"and":[13,67,122,135,143],"two":[14,128],"dimensions.":[15],"The":[16,40],"main":[17],"motivation":[18],"is":[19,44,58,76,93],"to":[20,45,59,78],"get":[21],"not":[22],"only":[23,85],"an":[24,29],"accurate":[25,30],"solution,":[26,142],"but":[27,84],"also":[28],"first":[31],"order":[32,115,117,138],"derivative":[33],"at":[34,86,148],"the":[35,47,56,65,69,87,90,99,120,123,141,146,149],"(from":[37],"each":[38],"side).":[39],"key":[41],"1D":[43],"use":[46],"idea":[48],"of":[49,73],"Wheeler":[50],"(1974).":[51],"For":[52,127],"2D":[53],"problems,":[55,130],"point":[57],"introduce":[60],"a":[61,79,106,113],"small":[62],"tube":[63],"near":[64],"propose":[68],"gradient":[70,124,147],"as":[71],"part":[72],"unknowns,":[74],"which":[75,111],"similar":[77],"mixed":[80],"method,":[83],"interface.":[88,150],"Thus":[89],"computational":[91],"cost":[92],"just":[94],"slightly":[95],"higher":[96],"than":[97],"standard":[100],"method.":[103],"We":[104],"present":[105,132],"rigorous":[107],"dimensional":[109,129],"analysis,":[110],"shows":[112],"second":[114,137],"convergence":[116,139],"both":[119],"solution":[121],"1D.":[126],"we":[131],"numerical":[133],"results":[134],"observe":[136],"super-convergence":[144]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
