The efficient solution of the systems of equations arising from coupled consolidation problems is a matter of concern worldwide. The fixed‐stress splitting scheme is an effective approach for solving these equations either in a sequential manner or as a preconditioner for a fully coupled approach. Recent studies show that it is possible to improve the convergence rate of the fixed‐stress approach by choosing a proper tuning parameter. In this work, we present an optimization algorithm that dynamically searches for the optimal tuning parameter for each time step of the simulation, hence the denomination of real‐time optimization. The numerical examples show that the optimal tuning parameter indeed can change during the simulation, which highlights the importance of the dynamic search provided by the optimization algorithm. In some situations, the optimized fixed‐stress algorithm proposed in this work is able to reduce the total number of iterations by up to 70% compared to the non‐optimized version.

中文翻译：

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固定应力分裂方案的实时优化算法

由耦合固结问题引起的方程组的有效解决方案是全世界关注的问题。固定应力分离方案是一种有效的方法，可以按顺序方式求解这些方程式，也可以作为完全耦合方法的前提条件。最近的研究表明，通过选择适当的调整参数可以提高固定应力方法的收敛速度。在这项工作中，我们提出了一种优化算法，可以针对仿真的每个时间步骤动态搜索最佳调整参数，因此可以进行实时优化。数值示例表明，优化调整参数的确可以在仿真过程中发生变化，这凸显了优化算法提供的动态搜索的重要性。在某些情况下，