{"id":"https://openalex.org/W7163182969","doi":"https://doi.org/10.1007/s10444-026-10318-3","title":"A symmetric $$Q_1$$-finite volume element scheme for anisotropic diffusion problems on unstructured convex quadrilateral meshes","display_name":"A symmetric $$Q_1$$-finite volume element scheme for anisotropic diffusion problems on unstructured convex quadrilateral meshes","publication_year":2026,"publication_date":"2026-06-01","ids":{"openalex":"https://openalex.org/W7163182969","doi":"https://doi.org/10.1007/s10444-026-10318-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-026-10318-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-026-10318-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5054679285","display_name":"Yanhui Zhou","orcid":"https://orcid.org/0000-0001-7174-7505"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yanhui Zhou","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7174-7505","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5054679285"],"corresponding_institution_ids":[],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.54152918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":"3","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":0.820900022983551,"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":0.820900022983551,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.026200000196695328,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.022099999710917473,"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/quadrilateral","display_name":"Quadrilateral","score":0.8202000260353088},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7128999829292297},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6154000163078308},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5620999932289124},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5561000108718872},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.4961000084877014},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.4611999988555908},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.45809999108314514}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.8202000260353088},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7128999829292297},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7052000164985657},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6154000163078308},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5620999932289124},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5561000108718872},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5121999979019165},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4961000084877014},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.4611999988555908},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.45809999108314514},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.45399999618530273},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.43230000138282776},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.41929998993873596},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4050999879837036},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3314000070095062},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3037000000476837},{"id":"https://openalex.org/C160635147","wikidata":"https://www.wikidata.org/wiki/Q7314248","display_name":"Representative elementary volume","level":3,"score":0.26489999890327454},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-026-10318-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-026-10318-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.42337730526924133}],"awards":[{"id":"https://openalex.org/G6634641538","display_name":null,"funder_award_id":"12371397","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7201707977","display_name":null,"funder_award_id":"12401517","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W100703333","https://openalex.org/W135868273","https://openalex.org/W592368443","https://openalex.org/W1174663876","https://openalex.org/W1505377314","https://openalex.org/W1521920611","https://openalex.org/W1965816824","https://openalex.org/W1985079869","https://openalex.org/W1986550841","https://openalex.org/W1999455217","https://openalex.org/W2004874682","https://openalex.org/W2022591932","https://openalex.org/W2023963475","https://openalex.org/W2033130775","https://openalex.org/W2033718206","https://openalex.org/W2040469706","https://openalex.org/W2041310607","https://openalex.org/W2041991195","https://openalex.org/W2043393125","https://openalex.org/W2044270153","https://openalex.org/W2051995249","https://openalex.org/W2052894907","https://openalex.org/W2076642757","https://openalex.org/W2078842791","https://openalex.org/W2081622703","https://openalex.org/W2081630046","https://openalex.org/W2085540192","https://openalex.org/W2090813019","https://openalex.org/W2093179496","https://openalex.org/W2121025857","https://openalex.org/W2186947600","https://openalex.org/W2462804404","https://openalex.org/W2510657622","https://openalex.org/W2592407066","https://openalex.org/W2758536913","https://openalex.org/W2764311165","https://openalex.org/W2915757182","https://openalex.org/W2954760889","https://openalex.org/W3000087242","https://openalex.org/W3038684325","https://openalex.org/W3082747974","https://openalex.org/W4229000172","https://openalex.org/W4312320300","https://openalex.org/W4364382541","https://openalex.org/W4367308460","https://openalex.org/W4398243166","https://openalex.org/W4401841674","https://openalex.org/W4408757518"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-06-03T00:00:00"}