2024-07-15-talk-SciCADE/conclusions.tex

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  \section{Conclusions} %<<<

  \begin{FIframe}{Conclusions}{} %<<<

    \begin{itemize}
      \item Interpolated Compressed Inverse Preconditioning (ICIP)
      \begin{itemize}
        \item fast pairwise preconditioner using interpolation of precomputed compressed interaction operators.
      \end{itemize}

      \item Krylov subspace preconditioner
      \begin{itemize}
        \item precondition using Krylov subspace constructed during the previous time steps.
        \item accelerate time-stepping, particularly Picard iterations in spectral deferred correction.
      \end{itemize}
    \end{itemize}

    \vspace{1.5em}
    {\bf Ongoing work:}
    \begin{itemize}
      \item Flows in confined geometries.
      \item Extension to spheres in 3D.
    \end{itemize}

    \vspace{1.5em}
    {\bf Limitations:}
    \begin{itemize}
      \item Restricted to simple geometries (disks, flat planes)
    \end{itemize}

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