{"id":"https://openalex.org/W2142467748","doi":"https://doi.org/10.1007/s00791-013-0213-4","title":"Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids","display_name":"Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2142467748","doi":"https://doi.org/10.1007/s00791-013-0213-4","mag":"2142467748"},"language":"en","primary_location":{"id":"doi:10.1007/s00791-013-0213-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-013-0213-4","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/A5100336427","display_name":"Long Chen","orcid":"https://orcid.org/0000-0003-0184-5446"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Long Chen","raw_affiliation_strings":["Department of Mathematics, University of California at Irvine, Irvine, CA, 92697, USA","Department of Mathematics, University of California at Irvine, Irvine, USA 92697#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at Irvine, Irvine, CA, 92697, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Department of Mathematics, University of California at Irvine, Irvine, USA 92697#TAB#","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","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, La Jolla, CA, 92093, USA","Department of Mathematics, University of California at San Diego, La Jolla, USA 92093#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at San Diego, La Jolla, CA, 92093, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mathematics, University of California at San Diego, La Jolla, USA 92093#TAB#","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101494424","display_name":"Jinchao Xu","orcid":"https://orcid.org/0009-0004-4132-0227"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jinchao Xu","raw_affiliation_strings":["Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA","Department of Mathematics, Pennsylvania State University, University Park, USA 16802#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University, University Park, USA 16802#TAB#","institution_ids":["https://openalex.org/I130769515"]}]},{"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#"],"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":4,"corresponding_author_ids":["https://openalex.org/A5100336427"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":2.7945,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90372106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"5","first_page":"271","last_page":"289"},"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":0.9988999962806702,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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/mathematics","display_name":"Mathematics","score":0.7978097200393677},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.665291428565979},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6366130113601685},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6287418007850647},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.549340546131134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5298542380332947},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.528822124004364},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.49318593740463257},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46453577280044556},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.45433929562568665},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.43807539343833923},{"id":"https://openalex.org/keywords/bisection-method","display_name":"Bisection method","score":0.43767422437667847},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.41939204931259155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3923027515411377},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.32419925928115845},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2642817795276642}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7978097200393677},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.665291428565979},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6366130113601685},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6287418007850647},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.549340546131134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5298542380332947},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.528822124004364},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.49318593740463257},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46453577280044556},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.45433929562568665},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.43807539343833923},{"id":"https://openalex.org/C157544257","wikidata":"https://www.wikidata.org/wiki/Q866300","display_name":"Bisection method","level":2,"score":0.43767422437667847},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.41939204931259155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3923027515411377},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.32419925928115845},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2642817795276642},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00791-013-0213-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-013-0213-4","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:10.1.1.174.9049","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.174.9049","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/CHXZ10a.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W12123325","https://openalex.org/W20824204","https://openalex.org/W22890336","https://openalex.org/W46814297","https://openalex.org/W136882936","https://openalex.org/W184188664","https://openalex.org/W393218382","https://openalex.org/W590402726","https://openalex.org/W965126270","https://openalex.org/W1481923190","https://openalex.org/W1506342804","https://openalex.org/W1519509134","https://openalex.org/W1520166905","https://openalex.org/W1530115438","https://openalex.org/W1530872699","https://openalex.org/W1546004968","https://openalex.org/W1559687661","https://openalex.org/W1973061863","https://openalex.org/W1976115257","https://openalex.org/W1977490503","https://openalex.org/W1977699116","https://openalex.org/W1977851468","https://openalex.org/W1995944713","https://openalex.org/W1997542937","https://openalex.org/W1997831216","https://openalex.org/W1998461805","https://openalex.org/W1998855908","https://openalex.org/W1999639752","https://openalex.org/W1999953445","https://openalex.org/W2000675710","https://openalex.org/W2003230588","https://openalex.org/W2009985306","https://openalex.org/W2010741636","https://openalex.org/W2017085690","https://openalex.org/W2018685527","https://openalex.org/W2020854958","https://openalex.org/W2030199904","https://openalex.org/W2030947573","https://openalex.org/W2033653234","https://openalex.org/W2042491177","https://openalex.org/W2042732056","https://openalex.org/W2044959876","https://openalex.org/W2046300718","https://openalex.org/W2047586811","https://openalex.org/W2048171329","https://openalex.org/W2055529081","https://openalex.org/W2065385312","https://openalex.org/W2070623505","https://openalex.org/W2075950013","https://openalex.org/W2084743165","https://openalex.org/W2094820085","https://openalex.org/W2095044295","https://openalex.org/W2099122713","https://openalex.org/W2103343860","https://openalex.org/W2103576314","https://openalex.org/W2107813568","https://openalex.org/W2117887684","https://openalex.org/W2153127767","https://openalex.org/W2163694039","https://openalex.org/W2171981190","https://openalex.org/W2326261353","https://openalex.org/W2333050756","https://openalex.org/W2557433803","https://openalex.org/W2595143691","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W2013294304","https://openalex.org/W1969691054","https://openalex.org/W2035892225","https://openalex.org/W2100036733","https://openalex.org/W2162432602","https://openalex.org/W2353973086","https://openalex.org/W2301917959","https://openalex.org/W2007633113","https://openalex.org/W2142467748","https://openalex.org/W4210732180"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}