{"id":"https://openalex.org/W4318704660","doi":"https://doi.org/10.1007/s10915-023-02103-x","title":"Multigrid with Nonstandard Coarse-Level Operators and Coarsening Factors","display_name":"Multigrid with Nonstandard Coarse-Level Operators and Coarsening Factors","publication_year":2023,"publication_date":"2023-01-31","ids":{"openalex":"https://openalex.org/W4318704660","doi":"https://doi.org/10.1007/s10915-023-02103-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02103-x","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s10915-023-02103-x","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5032893183","display_name":"Chang Liu","orcid":"https://orcid.org/0000-0002-2798-8560"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chang Liu","raw_affiliation_strings":["Department of Mathematics, The University of Utah, 201 Presidents Circle, Salt Lake City, UT, 84112, USA"],"raw_orcid":"https://orcid.org/0000-0002-2798-8560","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Utah, 201 Presidents Circle, Salt Lake City, UT, 84112, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111584732","display_name":"William D. Henshaw","orcid":"https://orcid.org/0009-0008-9088-7229"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William Henshaw","raw_affiliation_strings":["Department of Mathematical Sciences, Rensselaer Polytechnic Institute, 110 Eighth Street, Troy, NY, 12180, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Rensselaer Polytechnic Institute, 110 Eighth Street, Troy, NY, 12180, USA","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032893183"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5738,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68645424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"94","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9965000152587891,"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/multigrid-method","display_name":"Multigrid method","score":0.9343365430831909},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7185386419296265},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6110137104988098},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5693280100822449},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5507673621177673},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.535729169845581},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.46886900067329407},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4647120237350464},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.45848625898361206},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.44953563809394836},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.4318656623363495},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3916786015033722},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35761553049087524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2561799883842468},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21945658326148987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17630651593208313},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.10701566934585571}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.9343365430831909},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7185386419296265},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6110137104988098},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5693280100822449},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5507673621177673},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.535729169845581},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.46886900067329407},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4647120237350464},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.45848625898361206},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.44953563809394836},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4318656623363495},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3916786015033722},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35761553049087524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2561799883842468},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21945658326148987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17630651593208313},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.10701566934585571},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-023-02103-x","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s10915-023-02103-x","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/2","score":0.47999998927116394,"display_name":"Zero hunger"}],"awards":[{"id":"https://openalex.org/G1264076034","display_name":null,"funder_award_id":"DMS-1519934","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8095827724","display_name":null,"funder_award_id":"DMS-1818926","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W163316638","https://openalex.org/W1572639095","https://openalex.org/W1964453651","https://openalex.org/W1978917015","https://openalex.org/W1980079754","https://openalex.org/W1988552782","https://openalex.org/W1990631565","https://openalex.org/W1992777004","https://openalex.org/W1992935956","https://openalex.org/W1995214178","https://openalex.org/W1996594743","https://openalex.org/W1997542937","https://openalex.org/W2029520499","https://openalex.org/W2032705590","https://openalex.org/W2040023267","https://openalex.org/W2045296893","https://openalex.org/W2056715474","https://openalex.org/W2065932192","https://openalex.org/W2066598217","https://openalex.org/W2131536261","https://openalex.org/W2148147555","https://openalex.org/W2151317657","https://openalex.org/W2152830908"],"related_works":["https://openalex.org/W2005336692","https://openalex.org/W1551381703","https://openalex.org/W1485200038","https://openalex.org/W1586538875","https://openalex.org/W2016576923","https://openalex.org/W3215603717","https://openalex.org/W3126538750","https://openalex.org/W1973971110","https://openalex.org/W1490754829","https://openalex.org/W2077845440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-15T08:27:34.491423","created_date":"2025-10-10T00:00:00"}
