{"id":"https://openalex.org/W2986207","doi":"https://doi.org/10.1007/978-3-642-11795-4_86","title":"A Posteriori Error Estimation in Mixed Finite Element Methods for Signorini\u2019s Problem","display_name":"A Posteriori Error Estimation in Mixed Finite Element Methods for Signorini\u2019s Problem","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2986207","doi":"https://doi.org/10.1007/978-3-642-11795-4_86","mag":"2986207"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-11795-4_86","doi":"https://doi.org/10.1007/978-3-642-11795-4_86","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11795-4_86","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Mathematics and Advanced Applications 2009","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2750393569","display_name":"Numerical Mathematics and Advanced Applications 2009"},"type":"book-chapter","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/A5021218669","display_name":"J\u00f6rg Schr\u00f6der","orcid":"https://orcid.org/0000-0003-3691-0906","observed_orcids":["https://orcid.org/0000-0003-3691-0906"]},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Schr\u00f6der","raw_affiliation_strings":["Department of Mathematics, Humboldt-Universit\u00e4t zu Berlin, 10099, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Humboldt-Universit\u00e4t zu Berlin, 10099, Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021218669"],"corresponding_institution_ids":["https://openalex.org/I39343248"],"apc_list":null,"apc_paid":null,"fwci":0.7316,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70418149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"801","last_page":"808"},"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":0.6431000232696533,"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":0.6431000232696533,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.3564000129699707,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/a-posteriori-error-estimates","display_name":"a posteriori error estimation","score":0.9559999704360962},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"mixed finite element method","score":0.8500000238418579},{"id":"https://openalex.org/keywords/signorini-problem","display_name":"Signorini problem","score":0.8830000162124634},{"id":"https://openalex.org/keywords/variational-inequalities","display_name":"variational inequalities","score":0.6119999885559082},{"id":"https://openalex.org/keywords/obstacle-problem","display_name":"obstacle problem","score":0.578000009059906},{"id":"https://openalex.org/keywords/auxiliary-problem","display_name":"auxiliary problem","score":0.5659999847412109},{"id":"https://openalex.org/keywords/discretization-error","display_name":"discretization error","score":0.734000027179718},{"id":"https://openalex.org/keywords/geometric-error","display_name":"geometric error","score":0.7960000038146973}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7093265652656555},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6644846200942993},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5166497826576233},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.4719858765602112},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41187578439712524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3667525351047516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34127503633499146},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.08498769998550415},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07713204622268677},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-11795-4_86","doi":"https://doi.org/10.1007/978-3-642-11795-4_86","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11795-4_86","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Mathematics and Advanced Applications 2009","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W606079047","https://openalex.org/W1520204308","https://openalex.org/W1597209545","https://openalex.org/W1967077838","https://openalex.org/W1969766291","https://openalex.org/W1973259386","https://openalex.org/W1992893649","https://openalex.org/W1995315828","https://openalex.org/W1995404822","https://openalex.org/W2004326643","https://openalex.org/W2007877307","https://openalex.org/W2012312093","https://openalex.org/W2019045637","https://openalex.org/W2043245387","https://openalex.org/W2069133743","https://openalex.org/W2071036364","https://openalex.org/W2085739550","https://openalex.org/W2088130588","https://openalex.org/W2106661670","https://openalex.org/W2134829619","https://openalex.org/W2286316844","https://openalex.org/W2505585705","https://openalex.org/W2592897865","https://openalex.org/W2795407492","https://openalex.org/W2963804213","https://openalex.org/W2985272081","https://openalex.org/W4212951453","https://openalex.org/W4234028290","https://openalex.org/W4298356938"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W5922282","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W2954004777","https://openalex.org/W2949638731","https://openalex.org/W2951102138","https://openalex.org/W3137869026"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2025-10-10T00:00:00"}