{"id":"https://openalex.org/W4388758821","doi":"https://doi.org/10.1137/22m1528550","title":"Relaxed Ka\u010danov Scheme for the \\(\\boldsymbol{p}\\)-Laplacian with Large Exponent","display_name":"Relaxed Ka\u010danov Scheme for the \\(\\boldsymbol{p}\\)-Laplacian with Large Exponent","publication_year":2023,"publication_date":"2023-11-17","ids":{"openalex":"https://openalex.org/W4388758821","doi":"https://doi.org/10.1137/22m1528550"},"language":"en","primary_location":{"id":"doi:10.1137/22m1528550","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1528550","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5036050841","display_name":"Anna Kh. Balci","orcid":"https://orcid.org/0000-0002-8138-9067"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]},{"id":"https://openalex.org/I203082224","display_name":"Hochschule Bielefeld","ror":"https://ror.org/00edvg943","country_code":"DE","type":"education","lineage":["https://openalex.org/I203082224"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Anna Kh. Balci","raw_affiliation_strings":["Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8138-9067","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany","institution_ids":["https://openalex.org/I20121455","https://openalex.org/I203082224"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010484841","display_name":"Lars Diening","orcid":"https://orcid.org/0000-0002-0523-3079"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]},{"id":"https://openalex.org/I203082224","display_name":"Hochschule Bielefeld","ror":"https://ror.org/00edvg943","country_code":"DE","type":"education","lineage":["https://openalex.org/I203082224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Diening","raw_affiliation_strings":["Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany"],"raw_orcid":"https://orcid.org/0000-0002-0523-3079","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany","institution_ids":["https://openalex.org/I20121455","https://openalex.org/I203082224"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089019825","display_name":"Johannes Storn","orcid":"https://orcid.org/0000-0003-1520-6557"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]},{"id":"https://openalex.org/I203082224","display_name":"Hochschule Bielefeld","ror":"https://ror.org/00edvg943","country_code":"DE","type":"education","lineage":["https://openalex.org/I203082224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Storn","raw_affiliation_strings":["Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1520-6557","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany","institution_ids":["https://openalex.org/I20121455","https://openalex.org/I203082224"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036050841"],"corresponding_institution_ids":["https://openalex.org/I20121455","https://openalex.org/I203082224"],"apc_list":null,"apc_paid":null,"fwci":1.3578,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84287042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"61","issue":"6","first_page":"2775","last_page":"2794"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9990000128746033,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9011865854263306},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5718368887901306},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5592625141143799},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5449402332305908},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5364111065864563},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5320706367492676},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5112380981445312},{"id":"https://openalex.org/keywords/real-line","display_name":"Real line","score":0.47737404704093933},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4732414186000824},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4568939208984375},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44727805256843567},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3855702877044678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12862226366996765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9011865854263306},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5718368887901306},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5592625141143799},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5449402332305908},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5364111065864563},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5320706367492676},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5112380981445312},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.47737404704093933},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4732414186000824},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4568939208984375},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44727805256843567},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3855702877044678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12862226366996765},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1528550","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1528550","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8651366121","display_name":null,"funder_award_id":"SFB 1283/2 2021 - 317210226","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W150268201","https://openalex.org/W1519586810","https://openalex.org/W1653619892","https://openalex.org/W1964524533","https://openalex.org/W1982925778","https://openalex.org/W2009985306","https://openalex.org/W2024771775","https://openalex.org/W2026265640","https://openalex.org/W2026635474","https://openalex.org/W2038393809","https://openalex.org/W2043267610","https://openalex.org/W2061988259","https://openalex.org/W2069697314","https://openalex.org/W2071552456","https://openalex.org/W2073631555","https://openalex.org/W2089773056","https://openalex.org/W2101494568","https://openalex.org/W2121031654","https://openalex.org/W2122543191","https://openalex.org/W2153317684","https://openalex.org/W2179536916","https://openalex.org/W2221871561","https://openalex.org/W2465859507","https://openalex.org/W2552077385","https://openalex.org/W2596366197","https://openalex.org/W2802420435","https://openalex.org/W2963016562","https://openalex.org/W2963279928","https://openalex.org/W2963472656","https://openalex.org/W2971350682","https://openalex.org/W3008450939","https://openalex.org/W3013489327","https://openalex.org/W3046031568","https://openalex.org/W3103039007","https://openalex.org/W3137009685","https://openalex.org/W3158123692","https://openalex.org/W3195260958","https://openalex.org/W4206372362","https://openalex.org/W4245654886","https://openalex.org/W4252420375","https://openalex.org/W4313495422","https://openalex.org/W4367173489"],"related_works":["https://openalex.org/W2467119940","https://openalex.org/W3194077685","https://openalex.org/W3148881609","https://openalex.org/W2152758797","https://openalex.org/W2382762871","https://openalex.org/W2950599922","https://openalex.org/W2062219402","https://openalex.org/W4286787881","https://openalex.org/W3049435653","https://openalex.org/W1970770724"],"abstract_inverted_index":{".We":[0],"introduce":[1],"a":[2,40],"novel":[3],"relaxed":[4],"Ka\u010danov":[5],"scheme":[6,26,61],"for":[7,56],"the":[8,11,15,37,57,72,80],"computation":[9],"of":[10,39,67,71],"discrete":[12],"minimizer":[13],"to":[14,29],"\\(p\\)-Laplace":[16],"problem":[17],"with":[18],"\\(2":[19],"\\leq":[20],"p":[21],"\\lt":[22],"\\infty\\).":[23],"The":[24,60],"iterative":[25],"is":[27,69],"easy":[28],"implement":[30],"since":[31],"each":[32],"iterate":[33],"results":[34],"only":[35],"from":[36],"solve":[38],"weighted,":[41],"linear":[42],"Poisson":[43],"problem.":[44],"It":[45],"neither":[46],"requires":[47],"an":[48],"additional":[49],"line":[50],"search":[51],"nor":[52],"involves":[53],"unknown":[54],"constants":[55],"step":[58],"length.":[59],"converges":[62],"globally,":[63],"and":[64],"its":[65],"rate":[66],"convergence":[68],"independent":[70],"underlying":[73],"mesh":[74],"under":[75],"certain":[76],"regularity":[77],"assumptions":[78],"on":[79],"(discrete)":[81],"solution.Keywords\\(p\\)-LaplacianKa\u010danov":[82],"iterationadaptive":[83],"FEMenergy":[84],"relaxationenergy":[85],"minimizationMSC":[86],"codes35J7065N2265N30":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
