{"title":"Erratum: Multidimensional Sum-Up Rounding for Elliptic Control Systems","authors":"Paul Manns, Christian Kirches","doi":"10.1137/24m1674169","DOIUrl":null,"url":null,"abstract":"SIAM Journal on Numerical Analysis, Volume 62, Issue 6, Page 2782-2783, December 2024. <br/> Abstract. We correct a mistake in the paper [P. Manns and C. Kirches, SIAM J. Numer. Anal., 58 (2020), pp. 3427–3447]. The grid refinement strategy in Definition 4.3 needs to ensure that the order of the (sets of) grid cells that are successively refined is preserved over all grid iterations. This was only partially reflected in Definition 4.3, and we correct it here.","PeriodicalId":49527,"journal":{"name":"SIAM Journal on Numerical Analysis","volume":"102 1","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIAM Journal on Numerical Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/24m1674169","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
SIAM 数值分析期刊》第 62 卷第 6 期第 2782-2783 页,2024 年 12 月。 摘要。我们纠正了论文 [P. Manns and C. Kirches, SIAM J. Numer. Anal., 58 (2020), pp.]定义 4.3 中的网格细化策略需要确保在所有网格迭代中,被连续细化的网格单元(集)的顺序得到保留。定义 4.3 仅部分反映了这一点,我们在此予以修正。
Erratum: Multidimensional Sum-Up Rounding for Elliptic Control Systems
SIAM Journal on Numerical Analysis, Volume 62, Issue 6, Page 2782-2783, December 2024. Abstract. We correct a mistake in the paper [P. Manns and C. Kirches, SIAM J. Numer. Anal., 58 (2020), pp. 3427–3447]. The grid refinement strategy in Definition 4.3 needs to ensure that the order of the (sets of) grid cells that are successively refined is preserved over all grid iterations. This was only partially reflected in Definition 4.3, and we correct it here.
期刊介绍:
SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational complexity. Also included are results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm behavior and applicability.