Abstract The paper presents a goal-oriented error control based on the dual weighted residual method (DWR) for the finite cell method (FCM), which is characterized by an enclosing domain covering the domain of the problem. The error identity derived by the DWR method allows for a combined treatment of the discretization and quadrature error introduced by the FCM. We present an adaptive strategy with the aim to balance these two error contributions. Its performance is demonstrated for several two-dimensional examples.

中文翻译：

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有限元胞法的双加权残差估计

摘要 本文针对有限元法（FCM）提出了一种基于对偶加权残差法（DWR）的面向目标的误差控制，其特点是一个封闭域覆盖了问题域。由 DWR 方法得出的误差标识允许对 FCM 引入的离散化和正交误差进行组合处理。我们提出了一种自适应策略，旨在平衡这两种误差贡献。它的性能在几个二维例子中得到了证明。