{"id":"https://openalex.org/W2128039735","doi":"https://doi.org/10.1080/00207160008804968","title":"Numerical solutions of fourth order variational inequalities","display_name":"Numerical solutions of fourth order variational inequalities","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2128039735","doi":"https://doi.org/10.1080/00207160008804968","mag":"2128039735"},"language":"en","primary_location":{"id":"doi:10.1080/00207160008804968","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008804968","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5087578803","display_name":"Muhammad Aslam Noor","orcid":"https://orcid.org/0000-0001-6105-2435"},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Muhammad Aslam Noor","raw_affiliation_strings":["\n                   \n               Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada","Department of Mathematics and Statistics, Dalhousie University Halifax, Nova Scotia, B3H 3J5, Canada"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada","institution_ids":["https://openalex.org/I129902397"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Dalhousie University Halifax, Nova Scotia, B3H 3J5, Canada","institution_ids":["https://openalex.org/I129902397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111752781","display_name":"Eisa Al-Said","orcid":null},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Eisa A. Al-Said","raw_affiliation_strings":["\n                   \n               Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia","Department of Mathematics College of Science, King Saud University P. O. Box. 2455 Riyadh 11451 Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Department of Mathematics College of Science, King Saud University P. O. Box. 2455 Riyadh 11451 Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087578803"],"corresponding_institution_ids":["https://openalex.org/I129902397"],"apc_list":null,"apc_paid":null,"fwci":0.4542,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.68547634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"75","issue":"1","first_page":"107","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":1.0,"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":0.9848999977111816,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9797000288963318,"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/variational-inequality","display_name":"Variational inequality","score":0.9087207913398743},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.8455195426940918},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8311264514923096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8257526755332947},{"id":"https://openalex.org/keywords/obstacle-problem","display_name":"Obstacle problem","score":0.7835532426834106},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5739654898643494},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.5593929886817932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5308296084403992},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49704697728157043},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.493464857339859},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4103657901287079},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07220038771629333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.057830750942230225}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.9087207913398743},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.8455195426940918},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8311264514923096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8257526755332947},{"id":"https://openalex.org/C132369183","wikidata":"https://www.wikidata.org/wiki/Q3406250","display_name":"Obstacle problem","level":3,"score":0.7835532426834106},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5739654898643494},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5593929886817932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5308296084403992},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49704697728157043},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.493464857339859},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4103657901287079},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07220038771629333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.057830750942230225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160008804968","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160008804968","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6499999761581421,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W123610721","https://openalex.org/W1516681311","https://openalex.org/W1969675363","https://openalex.org/W2004326643","https://openalex.org/W2010462593","https://openalex.org/W2033736734","https://openalex.org/W2038512356","https://openalex.org/W2076455918","https://openalex.org/W2121653864","https://openalex.org/W2985272081","https://openalex.org/W4200153169","https://openalex.org/W4234028290","https://openalex.org/W4301283118"],"related_works":["https://openalex.org/W2063245973","https://openalex.org/W1989743438","https://openalex.org/W4238417450","https://openalex.org/W1969086070","https://openalex.org/W1482810786","https://openalex.org/W3194142936","https://openalex.org/W171600397","https://openalex.org/W2998793487","https://openalex.org/W4308703440","https://openalex.org/W47928192"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"use":[2],"variational":[3,41],"inequality":[4,42],"theory":[5],"along":[6],"with":[7],"finite":[8],"difference":[9,67],"technique":[10],"to":[11,46],"obtain":[12],"an":[13,33,37],"approximation":[14],"for":[15],"the":[16,29,48,55,58],"solution":[17,56],"of":[18,21,32,50,54,57],"a":[19],"class":[20],"obstacle":[22,59],"problem":[23,49],"in":[24],"elasticity,":[25],"like":[26],"those":[27],"describing":[28],"equilibrium":[30],"configuration":[31],"elastic":[34,38],"stretched":[35],"over":[36],"obstacle.":[39],"The":[40],"formulation":[43],"is":[44],"used":[45],"discuss":[47],"uniqueness":[51],"and":[52],"existence":[53],"problems.":[60],"Keywords:":[61],"Variational":[62],"inequalitiesobstacle":[63],"problempenalty":[64],"function":[65],"methodfinite":[66],"method1991":[68],"AMS":[69],"Subject":[70],"Classifications::":[71],"49J4065L12C.R.":[72],"Categories:":[73],"G.1.7":[74]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
