In this work, we study the inverse source problem of a seawater intrusion problem in an unconfined aquifer with sharp-diffuse interfaces. The model associated with the direct problem is nonlinear. We aim to reconstruct the source term following the technique used in [10]. As this technique is based on variable separation, a fixed-point strategy is adopted to linearize the problem. Numerical convergence is proven using some examples.

中文翻译：

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确定无限制含水层中海水入侵问题的源函数

在这项工作中，我们研究了具有尖扩散界面的无限制含水层中海水入侵问题的逆源问题。与直接问题相关的模型是非线性的。我们旨在按照[10]中使用的技术来重构源术语。由于此技术基于变量分离，因此采用定点策略来线性化问题。通过一些例子证明了数值收敛。