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The iterative scheme is easy to implement since each iterate results only from the solve of a weighted, linear Poisson problem. It neither requires an additional line search nor involves unknown constants for the step length. The scheme converges globally, and its rate of convergence is independent of the underlying mesh under certain regularity assumptions on the (discrete) solution.<\/jats:p>","DOI":"10.1137\/22m1528550","type":"journal-article","created":{"date-parts":[[2023,11,17]],"date-time":"2023-11-17T12:46:12Z","timestamp":1700225172000},"page":"2775-2794","source":"Crossref","is-referenced-by-count":12,"title":["Relaxed Ka\u010danov Scheme for the \\(\\boldsymbol{p}\\)-Laplacian with Large Exponent"],"prefix":"10.1137","volume":"61","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8138-9067","authenticated-orcid":true,"given":"Anna Kh.","family":"Balci","sequence":"first","affiliation":[{"name":"Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0523-3079","authenticated-orcid":true,"given":"Lars","family":"Diening","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1520-6557","authenticated-orcid":true,"given":"Johannes","family":"Storn","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bielefeld University, Bielefeld, 33615, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,11,17]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(89)90098-X"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2021.04.014"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1023\/A:1024751022715"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2023036"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2017.07.011"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-021-02249-9"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drr016"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/17M1159166"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2019.08.009"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/3821"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/0731022"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(99)00147-9"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2006.11.023"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827502416617"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/130927103"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-018-1223-7"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2019.02.015"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142903429730"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2016.08.014"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2016.06.026"},{"key":"ref21","volume-title":"Introduction to the Calculus of Variations","author":"Dacorogna B.","year":"2015","edition":"3"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1515\/FORUM.2008.027"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-020-01107-1"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/070681508"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2011-02546-9"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-007-0079-9"},{"key":"ref27","doi-asserted-by":"crossref","unstructured":"L. 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