{"id":"https://openalex.org/W2518832786","doi":"https://doi.org/10.1007/s00791-016-0267-1","title":"A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems","display_name":"A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems","publication_year":2016,"publication_date":"2016-02-01","ids":{"openalex":"https://openalex.org/W2518832786","doi":"https://doi.org/10.1007/s00791-016-0267-1","mag":"2518832786"},"language":"en","primary_location":{"id":"doi:10.1007/s00791-016-0267-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-016-0267-1","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/A5052850078","display_name":"Rolf Krause","orcid":"https://orcid.org/0000-0001-5408-5271"},"institutions":[{"id":"https://openalex.org/I57201433","display_name":"Universit\u00e0 della Svizzera italiana","ror":"https://ror.org/03c4atk17","country_code":"CH","type":"education","lineage":["https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Rolf Krause","raw_affiliation_strings":["Institute of Computational Science, Universit\u00e0 della Svizzera italiana, Lugano, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Science, Universit\u00e0 della Svizzera italiana, Lugano, Switzerland","institution_ids":["https://openalex.org/I57201433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076174102","display_name":"Alessandro Rigazzi","orcid":"https://orcid.org/0000-0003-2132-7726"},"institutions":[{"id":"https://openalex.org/I57201433","display_name":"Universit\u00e0 della Svizzera italiana","ror":"https://ror.org/03c4atk17","country_code":"CH","type":"education","lineage":["https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Alessandro Rigazzi","raw_affiliation_strings":["Institute of Computational Science, Universit\u00e0 della Svizzera italiana, Lugano, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Science, Universit\u00e0 della Svizzera italiana, Lugano, Switzerland","institution_ids":["https://openalex.org/I57201433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023831596","display_name":"Johannes Steiner","orcid":"https://orcid.org/0000-0002-6686-7964"},"institutions":[{"id":"https://openalex.org/I57201433","display_name":"Universit\u00e0 della Svizzera italiana","ror":"https://ror.org/03c4atk17","country_code":"CH","type":"education","lineage":["https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Johannes Steiner","raw_affiliation_strings":["Institute of Computational Science, Universit\u00e0 della Svizzera italiana, Lugano, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Science, Universit\u00e0 della Svizzera italiana, Lugano, Switzerland","institution_ids":["https://openalex.org/I57201433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052850078"],"corresponding_institution_ids":["https://openalex.org/I57201433"],"apc_list":null,"apc_paid":null,"fwci":0.1741,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57769479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"1","first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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":0.996999979019165,"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/multigrid-method","display_name":"Multigrid method","score":0.7849647998809814},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.669773519039154},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6679912805557251},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6203424334526062},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5997504591941833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5933676958084106},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5371594429016113},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5182047486305237},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.4942341148853302},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42603611946105957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2885659635066986},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2527032494544983},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.12328219413757324}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.7849647998809814},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.669773519039154},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6679912805557251},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6203424334526062},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5997504591941833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5933676958084106},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5371594429016113},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5182047486305237},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.4942341148853302},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42603611946105957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2885659635066986},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2527032494544983},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.12328219413757324},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00791-016-0267-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-016-0267-1","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W124079863","https://openalex.org/W139819346","https://openalex.org/W200714590","https://openalex.org/W583481172","https://openalex.org/W590645714","https://openalex.org/W1484744581","https://openalex.org/W1549314349","https://openalex.org/W1551360398","https://openalex.org/W1596318137","https://openalex.org/W1653619892","https://openalex.org/W1964244849","https://openalex.org/W1966565185","https://openalex.org/W1967077838","https://openalex.org/W1971460253","https://openalex.org/W1979167448","https://openalex.org/W1996933845","https://openalex.org/W2001461213","https://openalex.org/W2003106321","https://openalex.org/W2003413173","https://openalex.org/W2011832776","https://openalex.org/W2011884083","https://openalex.org/W2015032904","https://openalex.org/W2019678352","https://openalex.org/W2023929391","https://openalex.org/W2024058854","https://openalex.org/W2033079030","https://openalex.org/W2044619502","https://openalex.org/W2062145326","https://openalex.org/W2071050142","https://openalex.org/W2088959663","https://openalex.org/W2127479450","https://openalex.org/W2145968530","https://openalex.org/W2148551438","https://openalex.org/W2152023749","https://openalex.org/W2169836568","https://openalex.org/W2226920270","https://openalex.org/W2319302540","https://openalex.org/W2375809078","https://openalex.org/W2486208214","https://openalex.org/W2607811621","https://openalex.org/W2985272081","https://openalex.org/W3125963642","https://openalex.org/W4234028290"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W2146343568","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2013643406","https://openalex.org/W2027972911","https://openalex.org/W2157978810","https://openalex.org/W2331939936","https://openalex.org/W2011091376"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}