{"id":"https://openalex.org/W2131666407","doi":"https://doi.org/10.1007/s00791-015-0243-1","title":"Convergence of goal-oriented adaptive finite element methods for semilinear problems","display_name":"Convergence of goal-oriented adaptive finite element methods for semilinear problems","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W2131666407","doi":"https://doi.org/10.1007/s00791-015-0243-1","mag":"2131666407"},"language":"en","primary_location":{"id":"doi:10.1007/s00791-015-0243-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-015-0243-1","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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":"Computing and Visualization in Science","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/A5080980271","display_name":"Michael Holst","orcid":"https://orcid.org/0000-0002-3064-4697"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Holst","raw_affiliation_strings":["Department of Mathematics, University of California at San Diego, San Diego, CA, 92093, USA","Department of Mathematics, University of California at San Diego, San Diego, USA 92093#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at San Diego, San Diego, CA, 92093, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mathematics, University of California at San Diego, San Diego, USA 92093#TAB#","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008374349","display_name":"Sara Pollock","orcid":"https://orcid.org/0000-0001-7896-350X"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sara Pollock","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","Department of Mathematics, Texas A&M University, College Station, USA 77843#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, USA 77843#TAB#","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036190787","display_name":"Yunrong Zhu","orcid":"https://orcid.org/0000-0002-4706-8382"},"institutions":[{"id":"https://openalex.org/I106969075","display_name":"Idaho State University","ror":"https://ror.org/0162z8b04","country_code":"US","type":"education","lineage":["https://openalex.org/I106969075"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunrong Zhu","raw_affiliation_strings":["Department of Mathematics, Idaho State University, Pocatello, ID, 83209, USA","Department of Mathematics, Idaho State University, Pocatello, USA 83209#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Idaho State University, Pocatello, ID, 83209, USA","institution_ids":["https://openalex.org/I106969075"]},{"raw_affiliation_string":"Department of Mathematics, Idaho State University, Pocatello, USA 83209#TAB#","institution_ids":["https://openalex.org/I106969075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3399,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.79789771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"1","first_page":"43","last_page":"63"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9976000189781189,"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":0.9959999918937683,"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":0.7925378084182739},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6783989071846008},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6206837892532349},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.58819580078125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5728434324264526},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5649579763412476},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.48032346367836},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46103692054748535},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4436190128326416},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.4394489824771881},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4209863543510437},{"id":"https://openalex.org/keywords/linear-elasticity","display_name":"Linear elasticity","score":0.4138326644897461},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36358004808425903},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18797960877418518}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7925378084182739},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6783989071846008},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6206837892532349},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.58819580078125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5728434324264526},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5649579763412476},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.48032346367836},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46103692054748535},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4436190128326416},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.4394489824771881},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4209863543510437},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.4138326644897461},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36358004808425903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18797960877418518},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00791-015-0243-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-015-0243-1","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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":"Computing and Visualization in Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.229.3064","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.229.3064","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ccom.ucsd.edu/%7Emholst/pubs/dist/HPZ11a.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W184188664","https://openalex.org/W1492326914","https://openalex.org/W1493981498","https://openalex.org/W1523673167","https://openalex.org/W1585798714","https://openalex.org/W1589558795","https://openalex.org/W1630838214","https://openalex.org/W1671453733","https://openalex.org/W1748484423","https://openalex.org/W1866311589","https://openalex.org/W1966525999","https://openalex.org/W1976435787","https://openalex.org/W1981299419","https://openalex.org/W1983072269","https://openalex.org/W1995479616","https://openalex.org/W1999674338","https://openalex.org/W2025946447","https://openalex.org/W2027619967","https://openalex.org/W2029822419","https://openalex.org/W2039924562","https://openalex.org/W2044355921","https://openalex.org/W2071036364","https://openalex.org/W2076458295","https://openalex.org/W2076956302","https://openalex.org/W2084743165","https://openalex.org/W2092891737","https://openalex.org/W2092910485","https://openalex.org/W2101032783","https://openalex.org/W2107813568","https://openalex.org/W2118065910","https://openalex.org/W2131660612","https://openalex.org/W2133147107","https://openalex.org/W2148639620","https://openalex.org/W2160083155","https://openalex.org/W2165024589","https://openalex.org/W2207023833","https://openalex.org/W2321310861","https://openalex.org/W2487440882","https://openalex.org/W2963652100","https://openalex.org/W3046101478","https://openalex.org/W3105753569","https://openalex.org/W3204708751","https://openalex.org/W4205634890","https://openalex.org/W4238784554","https://openalex.org/W4252383231","https://openalex.org/W4285719527","https://openalex.org/W4292360407"],"related_works":["https://openalex.org/W2047561932","https://openalex.org/W2119544289","https://openalex.org/W2796969560","https://openalex.org/W2226837282","https://openalex.org/W2394496373","https://openalex.org/W2050829265","https://openalex.org/W4226238329","https://openalex.org/W4361230184","https://openalex.org/W2951949309","https://openalex.org/W137108797"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}