标题： 高阶非匹配时空方法在移动域问题中的离散化误差分析 显示英文标题

标题： Discretization Error Analysis of a High Order Unfitted Space-Time Method for moving domain problems

摘要： 我们对应用于移动体域上的对流扩散模型问题的高阶非匹配时空有限元方法进行了数值分析。该方法使用等参数时空映射来近似水平集域的几何形状，并在[Heimann, Lehrenfeld, Preu{\ss }, SIAM J. Sci. Comp. 45(2), 2023, B139 - B165]中提出并进行了计算研究。最近，在[Heimann, Lehrenfeld, IMA J. Numer. Anal., 2025]中已经证明了几何近似的误差界。在本文中，我们证明了稳定性与准确性，包括几何近似的影响。 显示英文摘要

摘要： We present a numerical analysis of a higher order unfitted space-time Finite Element method applied to a convection-diffusion model problem posed on a moving bulk domain. The method uses isoparametric space-time mappings for the geometry approximation of level set domains and has been presented and investigated computationally in [Heimann, Lehrenfeld, Preu{\ss}, SIAM J. Sci. Comp. 45(2), 2023, B139 - B165]. Recently, in [Heimann, Lehrenfeld, IMA J. Numer. Anal., 2025] error bounds for the geometry approximation have been proven. In this paper we prove stability and accuracy including the influence of the geometry approximation.