{"id":"https://openalex.org/W2012500537","doi":"https://doi.org/10.1080/00207160.2015.1016923","title":"WEB-Spline-based mesh-free finite element approximation for<i>p</i>-Laplacian","display_name":"WEB-Spline-based mesh-free finite element approximation for<i>p</i>-Laplacian","publication_year":2015,"publication_date":"2015-02-09","ids":{"openalex":"https://openalex.org/W2012500537","doi":"https://doi.org/10.1080/00207160.2015.1016923","mag":"2012500537"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1016923","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1016923","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/A5090805547","display_name":"Sudhakar Chaudhary","orcid":"https://orcid.org/0000-0002-5656-3078"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sudhakar Chaudhary","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology, Delhi, India","Department of Mathematics; Indian Institute of Technology; Delhi India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Delhi, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Department of Mathematics; Indian Institute of Technology; Delhi India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036600012","display_name":"Vimal Srivastava","orcid":null},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vimal Srivastava","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology, Delhi, India","Department of Mathematics; Indian Institute of Technology; Delhi India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Delhi, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Department of Mathematics; Indian Institute of Technology; Delhi India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110487571","display_name":"V. V. K. Srinivas Kumar","orcid":null},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"V.V.K Srinivas Kumar","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology, Delhi, India","Department of Mathematics; Indian Institute of Technology; Delhi India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Delhi, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Department of Mathematics; Indian Institute of Technology; Delhi India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059650977","display_name":"B. Srinivasan","orcid":"https://orcid.org/0000-0002-3118-5779"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Balaji Srinivasan","raw_affiliation_strings":["Department of Applied Mechanics, Indian Institute of Technology, Delhi, India","Department of Applied Mechanics, Indian Institute of Technology, Delhi, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mechanics, Indian Institute of Technology, Delhi, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Department of Applied Mechanics, Indian Institute of Technology, Delhi, India#TAB#","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090805547"],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":null,"apc_paid":null,"fwci":0.9747,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74528032,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"93","issue":"6","first_page":"1022","last_page":"1043"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9994999766349792,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7811193466186523},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6573461890220642},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6530255675315857},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6213605403900146},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6070106625556946},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5350602269172668},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5339390635490417},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5061275362968445},{"id":"https://openalex.org/keywords/laplaces-method","display_name":"Laplace's method","score":0.44862252473831177},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.43758854269981384},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3692386746406555},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34085747599601746},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24528232216835022}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7811193466186523},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6573461890220642},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6530255675315857},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6213605403900146},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6070106625556946},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5350602269172668},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5339390635490417},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5061275362968445},{"id":"https://openalex.org/C22243797","wikidata":"https://www.wikidata.org/wiki/Q2058297","display_name":"Laplace's method","level":3,"score":0.44862252473831177},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.43758854269981384},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3692386746406555},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34085747599601746},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24528232216835022},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1016923","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1016923","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":25,"referenced_works":["https://openalex.org/W136185420","https://openalex.org/W1524015806","https://openalex.org/W1531030995","https://openalex.org/W1964688360","https://openalex.org/W1976468712","https://openalex.org/W1981146595","https://openalex.org/W2003580845","https://openalex.org/W2009846071","https://openalex.org/W2036242265","https://openalex.org/W2038490905","https://openalex.org/W2041523977","https://openalex.org/W2044303806","https://openalex.org/W2060463842","https://openalex.org/W2062618977","https://openalex.org/W2064469024","https://openalex.org/W2064701766","https://openalex.org/W2072741826","https://openalex.org/W2085797778","https://openalex.org/W2107728372","https://openalex.org/W2244987555","https://openalex.org/W2577326798","https://openalex.org/W4210300254","https://openalex.org/W4237950784","https://openalex.org/W4243828759","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W2558646038","https://openalex.org/W4226101702","https://openalex.org/W3161443230","https://openalex.org/W2098586728","https://openalex.org/W3166678058","https://openalex.org/W1970857206","https://openalex.org/W2394496373","https://openalex.org/W2045956890","https://openalex.org/W1604366890","https://openalex.org/W1729208449"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,22],"discuss":[4],"the":[5,25,29,52],"approximation":[6],"of":[7,28],"p-Laplace":[8,30],"problem":[9],"using":[10],"WEB-Spline":[11],"based":[12],"mesh":[13],"free":[14],"finite":[15],"elements.":[16],"Along":[17],"with":[18],"usual":[19],"weak":[20],"formulation,":[21],"also":[23,44],"consider":[24],"mixed":[26],"formulation":[27],"problem.":[31],"We":[32,43],"give":[33],"existence,":[34],"uniqueness":[35],"results":[36],"for":[37,50],"both":[38,51],"continuous":[39],"and":[40],"discrete":[41],"problems.":[42],"provide":[45],"a":[46],"priori":[47],"error":[48],"estimates":[49],"formulations.":[53]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}