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<p>In this note, we correct the proofs for the error estimates of the time differences in a Robin-Robin coupling method for a parabolic-parabolic interface problem, as proposed and analyzed in Burman et&#xa0;al. (Numer. Algorithms, <b>99</b>, 921-948, <CitationRef CitationID="CR5">2025</CitationRef>). These estimates remain higher order convergent under suitable additional assumptions.</p>

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Correction: Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method

  • 期刊论文

  • 发表日期：

    2025年10月27日

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  • Erik Burman,
  • Rebecca Durst,
  • Miguel A. Fernández,
  • Johnny Guzmán,
  • Sijing Liu

摘要

In this note, we correct the proofs for the error estimates of the time differences in a Robin-Robin coupling method for a parabolic-parabolic interface problem, as proposed and analyzed in Burman et al. (Numer. Algorithms, 99, 921-948, 2025). These estimates remain higher order convergent under suitable additional assumptions.