{"id":"https://openalex.org/W4400873447","doi":"https://doi.org/10.3390/axioms13070490","title":"Numerical Computation of 2D Domain Integrals in Boundary Element Method by (\u03b1, \u03b2) Distance Transformation for Transient Heat Conduction Problems","display_name":"Numerical Computation of 2D Domain Integrals in Boundary Element Method by (\u03b1, \u03b2) Distance Transformation for Transient Heat Conduction Problems","publication_year":2024,"publication_date":"2024-07-22","ids":{"openalex":"https://openalex.org/W4400873447","doi":"https://doi.org/10.3390/axioms13070490"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13070490","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13070490","pdf_url":"https://www.mdpi.com/2075-1680/13/7/490/pdf?version=1721633566","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/7/490/pdf?version=1721633566","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108406318","display_name":"Yunqiao Dong","orcid":null},"institutions":[{"id":"https://openalex.org/I91935597","display_name":"University of South China","ror":"https://ror.org/03mqfn238","country_code":"CN","type":"education","lineage":["https://openalex.org/I91935597"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunqiao Dong","raw_affiliation_strings":["School of Mechanical Engineering, University of South China, Hengyang 421001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, University of South China, Hengyang 421001, China","institution_ids":["https://openalex.org/I91935597"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111264385","display_name":"Zhengxu Tan","orcid":null},"institutions":[{"id":"https://openalex.org/I91935597","display_name":"University of South China","ror":"https://ror.org/03mqfn238","country_code":"CN","type":"education","lineage":["https://openalex.org/I91935597"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengxu Tan","raw_affiliation_strings":["School of Mechanical Engineering, University of South China, Hengyang 421001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, University of South China, Hengyang 421001, China","institution_ids":["https://openalex.org/I91935597"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109671210","display_name":"Hengbo Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I91935597","display_name":"University of South China","ror":"https://ror.org/03mqfn238","country_code":"CN","type":"education","lineage":["https://openalex.org/I91935597"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hengbo Sun","raw_affiliation_strings":["School of Mechanical Engineering, University of South China, Hengyang 421001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, University of South China, Hengyang 421001, China","institution_ids":["https://openalex.org/I91935597"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108406318"],"corresponding_institution_ids":["https://openalex.org/I91935597"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.5024,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57572146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"13","issue":"7","first_page":"490","last_page":"490"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6311818957328796},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6092439889907837},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.5767421722412109},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.5717105269432068},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5607396364212036},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5506463050842285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5483881831169128},{"id":"https://openalex.org/keywords/volume-integral","display_name":"Volume integral","score":0.5162701606750488},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5024218559265137},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.45489615201950073},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4522070586681366},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44537240266799927},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.43758338689804077},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4363178014755249},{"id":"https://openalex.org/keywords/order-of-integration","display_name":"Order of integration (calculus)","score":0.4238676428794861},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3844534754753113},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.3268612027168274},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.313138484954834},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2622412145137787},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.24693694710731506},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15716856718063354}],"concepts":[{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6311818957328796},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6092439889907837},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.5767421722412109},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.5717105269432068},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5607396364212036},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5506463050842285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5483881831169128},{"id":"https://openalex.org/C51577431","wikidata":"https://www.wikidata.org/wiki/Q1788036","display_name":"Volume integral","level":3,"score":0.5162701606750488},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5024218559265137},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.45489615201950073},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4522070586681366},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44537240266799927},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.43758338689804077},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4363178014755249},{"id":"https://openalex.org/C38582570","wikidata":"https://www.wikidata.org/wiki/Q3825182","display_name":"Order of integration (calculus)","level":2,"score":0.4238676428794861},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3844534754753113},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.3268612027168274},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.313138484954834},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2622412145137787},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.24693694710731506},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15716856718063354},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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":2,"locations":[{"id":"doi:10.3390/axioms13070490","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13070490","pdf_url":"https://www.mdpi.com/2075-1680/13/7/490/pdf?version=1721633566","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9a92e0cbb433439794d784d7376f7289","is_oa":true,"landing_page_url":"https://doaj.org/article/9a92e0cbb433439794d784d7376f7289","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 7, p 490 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13070490","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13070490","pdf_url":"https://www.mdpi.com/2075-1680/13/7/490/pdf?version=1721633566","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4400873447.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1965139850","https://openalex.org/W1970261002","https://openalex.org/W1978562095","https://openalex.org/W1990120883","https://openalex.org/W1994196986","https://openalex.org/W1995598318","https://openalex.org/W1996748094","https://openalex.org/W1996881445","https://openalex.org/W2001645084","https://openalex.org/W2010850980","https://openalex.org/W2015483316","https://openalex.org/W2027312736","https://openalex.org/W2043040874","https://openalex.org/W2059243688","https://openalex.org/W2059948211","https://openalex.org/W2060899499","https://openalex.org/W2072401196","https://openalex.org/W2089515745","https://openalex.org/W2130838950","https://openalex.org/W2132848998","https://openalex.org/W2148857459","https://openalex.org/W2165068730","https://openalex.org/W2475348442","https://openalex.org/W2545532865","https://openalex.org/W2574245100","https://openalex.org/W2802926706","https://openalex.org/W2918122661","https://openalex.org/W2921341334","https://openalex.org/W2969388408","https://openalex.org/W3090299428","https://openalex.org/W3158053661","https://openalex.org/W3168324745","https://openalex.org/W4247613405","https://openalex.org/W4390558566","https://openalex.org/W4393189148","https://openalex.org/W4394604335"],"related_works":["https://openalex.org/W562534928","https://openalex.org/W4247918621","https://openalex.org/W4205354206","https://openalex.org/W2220102983","https://openalex.org/W1998414803","https://openalex.org/W2978789115","https://openalex.org/W2053100542","https://openalex.org/W2388760365","https://openalex.org/W1996087471","https://openalex.org/W2074263925"],"abstract_inverted_index":{"When":[0],"the":[1,8,20,29,33,47,55,58,77,82,86,114,127,134,138,142,145,148,155,163,177,204,208,223],"time-dependent":[2],"boundary":[3],"element":[4],"method,":[5,11,144],"also":[6],"termed":[7],"pseudo-initial":[9],"condition":[10],"is":[12,26,36,61,94,98,119,130,151,166],"employed":[13],"for":[14,40,104,126,207],"solving":[15],"transient":[16,42],"heat":[17,43],"conduction":[18],"problems,":[19],"numerical":[21,199,205],"evaluation":[22],"of":[23,32,37,57,85,147,184,188,193,203],"domain":[24,34,59,87,128,149,164,209],"integrals":[25,35,60,129,150,165,210],"necessitated.":[27],"Consequently,":[28],"accurate":[30,171],"calculation":[31,83],"crucial":[38],"importance":[39],"analyzing":[41],"conduction.":[44],"However,":[45],"as":[46],"time":[48,139,160,185],"step":[49],"decreases":[50],"progressively":[51],"and":[52,79,101,154,191,218],"approaches":[53],"zero,":[54],"integrand":[56,146],"close":[62],"to":[63,109],"singular,":[64],"resulting":[65],"in":[66,162,198],"large":[67],"errors":[68],"when":[69],"employing":[70],"standard":[71],"Gaussian":[72],"quadrature":[73],"directly.":[74],"To":[75],"solve":[76],"problem":[78],"further":[80],"improve":[81],"accuracy":[84,217],"integrals,":[88],"an":[89],"(\u03b1,":[90,115,178],"\u03b2)":[91,116,179],"distance":[92,124,136,180],"transformation":[93,97,118,125],"presented.":[95],"Distance":[96],"a":[99,122],"simple":[100],"efficient":[102],"method":[103],"eliminating":[105],"near-singularity,":[106],"typically":[107],"applied":[108],"nearly":[110],"singular":[111],"integrals.":[112],"Firstly,":[113],"coordinate":[117],"introduced.":[120],"Then,":[121],"new":[123,143],"constructed":[131],"by":[132,176,222],"replacing":[133],"shortest":[135],"with":[137],"step.":[140],"With":[141],"substantially":[152],"smoothed,":[153],"singularity":[156],"arising":[157],"from":[158],"small":[159],"steps":[161],"effectively":[167],"eliminated.":[168],"Thus,":[169],"more":[170],"results":[172,206],"can":[173],"be":[174],"obtained":[175],"transformation.":[181],"Different":[182],"sizes":[183],"steps,":[186],"positions":[187],"source":[189],"point,":[190],"shapes":[192],"integration":[194],"elements":[195],"are":[196,220],"considered":[197],"examples.":[200],"Comparative":[201],"studies":[202],"using":[211],"various":[212],"methods":[213],"demonstrate":[214],"that":[215],"higher":[216],"efficiency":[219],"achieved":[221],"proposed":[224],"method.":[225]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2024-07-23T00:00:00"}