{"id":"https://openalex.org/W4321481032","doi":"https://doi.org/10.1007/s10915-023-02151-3","title":"Penalty-Free Any-Order Weak Galerkin FEMs for Linear Elasticity on Quadrilateral Meshes","display_name":"Penalty-Free Any-Order Weak Galerkin FEMs for Linear Elasticity on Quadrilateral Meshes","publication_year":2023,"publication_date":"2023-02-22","ids":{"openalex":"https://openalex.org/W4321481032","doi":"https://doi.org/10.1007/s10915-023-02151-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02151-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02151-3","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/A5085573908","display_name":"Ruishu Wang","orcid":"https://orcid.org/0000-0002-1070-949X"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruishu Wang","raw_affiliation_strings":["School of Mathematics, Jilin University, Changchun, 130012, Jilin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun, 130012, Jilin, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100741933","display_name":"Zhuoran Wang","orcid":"https://orcid.org/0000-0003-3204-3702"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhuoran Wang","raw_affiliation_strings":["School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, 519082, Guangdong, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai, 519082, Guangdong, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103053261","display_name":"Jiangguo Liu","orcid":"https://orcid.org/0000-0002-2188-5157"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiangguo Liu","raw_affiliation_strings":["Department of Mathematics, Colorado State University, Fort Collins, CO, 80523-1874, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Colorado State University, Fort Collins, CO, 80523-1874, USA","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100741933"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5106,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77862183,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"95","issue":"1","first_page":null,"last_page":null},"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":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":1.0,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/mathematics","display_name":"Mathematics","score":0.8288325071334839},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7300149202346802},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.6879132390022278},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5841965675354004},{"id":"https://openalex.org/keywords/hexahedron","display_name":"Hexahedron","score":0.5726065635681152},{"id":"https://openalex.org/keywords/linear-elasticity","display_name":"Linear elasticity","score":0.4995272159576416},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.49277928471565247},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.45248299837112427},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.452349990606308},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44610822200775146},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25820067524909973}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8288325071334839},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7300149202346802},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.6879132390022278},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5841965675354004},{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.5726065635681152},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.4995272159576416},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.49277928471565247},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.45248299837112427},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.452349990606308},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44610822200775146},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25820067524909973},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-023-02151-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02151-3","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":[{"score":0.5400000214576721,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3627484297","display_name":null,"funder_award_id":"12101626","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G502897627","display_name":null,"funder_award_id":"DMS-2208590","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5440102551","display_name":null,"funder_award_id":"2020YFA0713602","funder_id":"https://openalex.org/F4320335774","funder_display_name":"Key Technologies Research and Development Program"},{"id":"https://openalex.org/G6007143827","display_name":null,"funder_award_id":"11971198","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6732922389","display_name":null,"funder_award_id":"12001230","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335774","display_name":"Key Technologies Research and Development Program","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1487455380","https://openalex.org/W1574598114","https://openalex.org/W1588527117","https://openalex.org/W1967249709","https://openalex.org/W2022525937","https://openalex.org/W2027061160","https://openalex.org/W2036344137","https://openalex.org/W2039955529","https://openalex.org/W2045686441","https://openalex.org/W2051570063","https://openalex.org/W2062089614","https://openalex.org/W2078692313","https://openalex.org/W2104800030","https://openalex.org/W2111705825","https://openalex.org/W2155298093","https://openalex.org/W2157252460","https://openalex.org/W2168914934","https://openalex.org/W2294930628","https://openalex.org/W2462139209","https://openalex.org/W2478420993","https://openalex.org/W2525823748","https://openalex.org/W2556087308","https://openalex.org/W2582639941","https://openalex.org/W2596314026","https://openalex.org/W2738626998","https://openalex.org/W2793714790","https://openalex.org/W2799433743","https://openalex.org/W2810909068","https://openalex.org/W2890140708","https://openalex.org/W2893972471","https://openalex.org/W2898145960","https://openalex.org/W2950571153","https://openalex.org/W2962973556","https://openalex.org/W2963605320","https://openalex.org/W2964023956","https://openalex.org/W3101511289","https://openalex.org/W3149667697","https://openalex.org/W3174321950","https://openalex.org/W3186846444","https://openalex.org/W3204708751","https://openalex.org/W3217207768","https://openalex.org/W4230910657","https://openalex.org/W4289317684","https://openalex.org/W4294795188"],"related_works":["https://openalex.org/W2091554796","https://openalex.org/W1968086293","https://openalex.org/W2119558010","https://openalex.org/W2062207398","https://openalex.org/W2056063496","https://openalex.org/W246128123","https://openalex.org/W3172958356","https://openalex.org/W2327051427","https://openalex.org/W2162026849","https://openalex.org/W2394687667"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
