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Furthermore, we show that the discrete duality framework extends convergence results for the Ka\u010danov scheme to a broader class of problems.<\/jats:p>","DOI":"10.1515\/cmam-2025-0017","type":"journal-article","created":{"date-parts":[[2025,6,16]],"date-time":"2025-06-16T11:00:10Z","timestamp":1750071610000},"page":"587-600","source":"Crossref","is-referenced-by-count":1,"title":["Guaranteed Upper Bounds for Iteration Errors and Modified Ka\u010danov Schemes via Discrete Duality"],"prefix":"10.1515","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0523-3079","authenticated-orcid":false,"given":"Lars","family":"Diening","sequence":"first","affiliation":[{"name":"Department of Mathematics , 9167 Bielefeld University , Postfach 10 01 31, 33501 Bielefeld , Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1520-6557","authenticated-orcid":false,"given":"Johannes","family":"Storn","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics & Computer Science , Institute of Mathematics , 9180 Leipzig University , Augustusplatz 10, 04109 Leipzig , Germany"}]}],"member":"374","published-online":{"date-parts":[[2025,6,17]]},"reference":[{"doi-asserted-by":"crossref","unstructured":"A. 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