Goal-Oriented A Posteriori Error Estimation For The Travel Time Functional In Porous Media Flows
Goal-Oriented A Posteriori Error Estimation For The Travel Time Functional In Porous Media Flows
复制标题
多孔介质流中行程时间泛函的目标导向后验误差估计
DOI：
10.1137/140960499
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
P. Houston
中科院分区：
文献类型：
--
作者：
K. Cliffe;Joe Collis;P. Houston
在这篇文章中，我们考虑的后验误差估计和自适应网格加密的数值逼近的旅行时功能出现在多孔介质流。这项工作的主要应用是在放射性废物设施的安全评估，在这种情况下，旅行时间功能措施所需的时间为nonsorbing放射性溶质，地下水运输，从一个潜在的网站深入地下生物圈。为了确保可计算性的旅行时间功能，我们采用了混合制剂的达西定律和质量守恒，连同Raviart-托马斯$H（\mathrm{div}，\Omega）$-符合有限元。所提出的后验误差界是基于标准的双加权残差近似的一个变体推导出来的，该变体考虑到了感兴趣的底层泛函的光滑性的缺乏。建议的自适应细化策略进行测试，一个简单的学术测试案例和一个问题的基础上…
In this article we consider the a posteriori error estimation and adaptive mesh refinement for the numerical approximation of the travel time functional arising in porous media flows. The key application of this work is in the safety assessment of radioactive waste facilities; in this setting, the travel time functional measures the time taken for a nonsorbing radioactive solute, transported by groundwater, to travel from a potential site deep underground to the biosphere. To ensure the computability of the travel time functional, we employ a mixed formulation of Darcy's law and conservation of mass, together with Raviart--Thomas $H(\mathrm{div} , \Omega)$-conforming finite elements. The proposed a posteriori error bound is derived based on a variant of the standard dual-weighted-residual approximation, which takes into account the lack of smoothness of the underlying functional of interest. The proposed adaptive refinement strategy is tested on both a simple academic test case and a problem based on the ...