{"id":"https://openalex.org/W2281050312","doi":"https://doi.org/10.1080/00207160.2015.1095888","title":"Mechanical quadrature method and splitting extrapolation algorithm for the boundary integral equation of the axisymmetric anisotropic Darcy's equation","display_name":"Mechanical quadrature method and splitting extrapolation algorithm for the boundary integral equation of the axisymmetric anisotropic Darcy's equation","publication_year":2015,"publication_date":"2015-09-18","ids":{"openalex":"https://openalex.org/W2281050312","doi":"https://doi.org/10.1080/00207160.2015.1095888","mag":"2281050312"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1095888","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1095888","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5100693761","display_name":"Li Hu","orcid":"https://orcid.org/0000-0002-6657-4707"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hu Li","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073127393","display_name":"Jin Huang","orcid":"https://orcid.org/0000-0002-2191-4739"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Huang","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100693761"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.13892638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"94","issue":"1","first_page":"135","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9993000030517578,"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":0.8112378120422363},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6727586984634399},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5973700284957886},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5518258810043335},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.49413421750068665},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4782242476940155},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.47575968503952026},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.467040479183197},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.462046355009079},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.4516918659210205},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4228516221046448},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.25606533885002136},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2239430546760559},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07147616147994995}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8112378120422363},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6727586984634399},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5973700284957886},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5518258810043335},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.49413421750068665},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4782242476940155},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.47575968503952026},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.467040479183197},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.462046355009079},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.4516918659210205},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4228516221046448},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.25606533885002136},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2239430546760559},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07147616147994995},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1095888","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1095888","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W8052360","https://openalex.org/W177431777","https://openalex.org/W415311214","https://openalex.org/W604996658","https://openalex.org/W1536466900","https://openalex.org/W1539847042","https://openalex.org/W1979177991","https://openalex.org/W1980867546","https://openalex.org/W2006882814","https://openalex.org/W2014208709","https://openalex.org/W2015466529","https://openalex.org/W2015846210","https://openalex.org/W2031585782","https://openalex.org/W2044060172","https://openalex.org/W2076942752","https://openalex.org/W2084718774","https://openalex.org/W2109911863","https://openalex.org/W2135857931","https://openalex.org/W2259716808","https://openalex.org/W3023870838","https://openalex.org/W4213357108","https://openalex.org/W4299112371"],"related_works":["https://openalex.org/W1963845699","https://openalex.org/W2061461757","https://openalex.org/W2389601816","https://openalex.org/W3191646105","https://openalex.org/W2024862778","https://openalex.org/W2942108226","https://openalex.org/W2748928884","https://openalex.org/W4245244288","https://openalex.org/W2069733545","https://openalex.org/W2049626378"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,29],"consider":[4],"the":[5,9,20,24,31,49,53,63,79,89],"numerical":[6,82],"solution":[7],"of":[8,55,65,81,91],"three-dimensional":[10],"axisymmetric":[11],"anisotropic":[12],"Darcy's":[13],"equation":[14],"with":[15,62],"Dirichlet":[16],"boundary":[17,26,37],"conditions.":[18],"By":[19],"potential":[21],"theory":[22],"and":[23],"indirect":[25],"element":[27],"methods,":[28],"transform":[30],"system":[32],"to":[33,47,87,105],"be":[34,85,88],"a":[35,58,98],"one-dimensional":[36],"integral":[38,50],"equation.":[39,51],"The":[40],"mechanical":[41],"quadrature":[42],"method":[43],"(MQM)":[44],"is":[45,103],"developed":[46],"solve":[48],"Moreover,":[52,97],"errors":[54],"MQM":[56],"have":[57],"multivariate":[59],"asymptotic":[60,100],"expansion":[61],"order":[64,90],"O(hi3)":[66],"for":[67],"all":[68],"mesh":[69],"widths":[70],"hi.":[71],"Once":[72],"discrete":[73],"equations":[74],"are":[75],"solved":[76],"in":[77],"parallel,":[78],"accuracy":[80],"approximations":[83],"can":[84],"improved":[86],"O(hmax5)":[92],"by":[93],"splitting":[94],"extrapolation":[95],"algorithm.":[96],"posteriori":[99],"error":[101],"estimate":[102],"derived":[104],"construct":[106],"self-adaptive":[107],"algorithms.":[108]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}