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Goal oriented error estimators for Stokes equations based on variationally consistent postprocessing

机译：基于变分一致后处理的Stokes方程的面向目标误差估计

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摘要

In many flow problems, and in particular when fluid-structure interaction is considered, the important unknowns are the forces acting on the structure in certain areas. Hence, accurate values for these local quantities is essentially what one wants to get out of the flow computations. By means of variationally consistent postprocessing, where forces are computed using the weak form of the equations, we recover the requested forces. Goal oriented local error indicators are provided by solving an auxiliary problem. At the end numerical examples are presented that illustrate how this goal oriented strategy gives improved efficiency compared to traditional methods. The fluid flow is assumed to be governed by the Stokes equations.
机译：在许多流动问题中，尤其是考虑到流体与结构的相互作用时，重要的未知因素是在某些区域作用在结构上的力。因此，这些本地量的准确值本质上就是人们希望从流量计算中得出的值。通过变分一致的后处理（使用等式的弱形式来计算力），我们可以恢复所需的力。通过解决辅助问题来提供面向目标的局部错误指示器。最后，给出了数值示例，这些示例说明了与传统方法相比，这种面向目标的策略如何提高效率。假定流体流动由斯托克斯方程控制。

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