We identify storage coefficient and hydraulic transmissivity in groundwater flow governed by a linear parabolic equation. Both parameters are assumed to be piecewise constant functions in space. The unknowns are the coefficient values as well as the geometry of the zones where these coefficients are constant. The goal of this work is to improve an adaptive parameterization approach for solving an inverse problem of parameter estimation. We define a posteriori error estimators depending on parameters to refine the computing mesh during the adaptative parametrization algorithm.

中文翻译：

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时间相关模型中多维水文地质参数估计的后验误差分析


我们确定了由线性抛物线方程控制的地下水流的存储系数和水力透射率。假设两个参数都是空间中的分段常数函数。未知数是系数值以及这些系数恒定的区域的几何形状。这项工作的目标是改进自适应参数化方法来解决参数估计的逆问题。我们根据参数定义后验误差估计器，以在自适应参数化算法期间细化计算网格。