{"id":"https://openalex.org/W2008031894","doi":"https://doi.org/10.1007/s10915-013-9816-7","title":"Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients","display_name":"Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients","publication_year":2014,"publication_date":"2014-01-07","ids":{"openalex":"https://openalex.org/W2008031894","doi":"https://doi.org/10.1007/s10915-013-9816-7","mag":"2008031894"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9816-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9816-7","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/A5100642325","display_name":"Yifan Zhang","orcid":"https://orcid.org/0009-0004-3243-4599"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yifan Zhang","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA","Division of Applied Mathematics, Brown University, Providence, USA 02912"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, USA 02912","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100391896","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0002-1717-5785"},"institutions":[{"id":"https://openalex.org/I19700959","display_name":"Florida International University","ror":"https://ror.org/02gz6gg07","country_code":"US","type":"education","lineage":["https://openalex.org/I19700959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["Department of Mathematics and Statistics, Florida International University, Miami, FL, 33199, USA","Department of Mathematics & Statistics, Florida International University, Miami, USA 33199#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Florida International University, Miami, FL, 33199, USA","institution_ids":["https://openalex.org/I19700959"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, Florida International University, Miami, USA 33199#TAB#","institution_ids":["https://openalex.org/I19700959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036599010","display_name":"Johnny Guzm\u00e1n","orcid":"https://orcid.org/0000-0002-6769-2393"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Johnny Guzm\u00e1n","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA","Division of Applied Mathematics, Brown University, Providence, USA 02912"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, USA 02912","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047035333","display_name":"Chi\u2010Wang Shu","orcid":"https://orcid.org/0000-0001-7720-9564"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chi-Wang Shu","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA","Division of Applied Mathematics, Brown University, Providence, USA 02912"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, USA 02912","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047035333"],"corresponding_institution_ids":["https://openalex.org/I27804330"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.4171,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79050627,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"61","issue":"1","first_page":"42","last_page":"60"},"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":0.9998999834060669,"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":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.8802307844161987},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7856783270835876},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6651006937026978},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5780413746833801},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5579631328582764},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5534915924072266},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5499783754348755},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5245535373687744},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5239265561103821},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47365081310272217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35550567507743835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14463365077972412},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1424521505832672},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1280079483985901}],"concepts":[{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.8802307844161987},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7856783270835876},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6651006937026978},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5780413746833801},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5579631328582764},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5534915924072266},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5499783754348755},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5245535373687744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5239265561103821},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47365081310272217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35550567507743835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14463365077972412},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1424521505832672},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1280079483985901},{"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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-013-9816-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9816-7","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W359661129","https://openalex.org/W1585098889","https://openalex.org/W1965130545","https://openalex.org/W1966480196","https://openalex.org/W1976683619","https://openalex.org/W1992356485","https://openalex.org/W2005788407","https://openalex.org/W2009301618","https://openalex.org/W2014983931","https://openalex.org/W2024798661","https://openalex.org/W2027698744","https://openalex.org/W2029725158","https://openalex.org/W2029918260","https://openalex.org/W2031088298","https://openalex.org/W2033606210","https://openalex.org/W2038330765","https://openalex.org/W2038536138","https://openalex.org/W2038622158","https://openalex.org/W2074317542","https://openalex.org/W2083401186","https://openalex.org/W2140438255","https://openalex.org/W2156788863","https://openalex.org/W2157721313","https://openalex.org/W2911752656","https://openalex.org/W3086734547","https://openalex.org/W4256632980","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2482793298","https://openalex.org/W2135944183","https://openalex.org/W2372324379","https://openalex.org/W2084133941","https://openalex.org/W2146864139","https://openalex.org/W2157919320","https://openalex.org/W3042803822","https://openalex.org/W4297436205","https://openalex.org/W2008031894","https://openalex.org/W2187366151"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
