A combined representer-preconditioned conjugate gradient method for inverse groundwater flow modeling

摘要

A new inverse method is introduced for groundwater flow modeling. It is based on a combination of the representer method and a preconditioned conjugate gradient solver. The method has been applied in oceanography and meteorology and has been addressed as the iterative representer method. Unfortunately, the standard representer method in inverse groundwater flow modeling is already an iterative algorithm, so we renamed the method to avoid confusion. As far as the authors know, the method has not been applied to saturated groundwater applications. In some preliminary runs for problems on the size of a real world case it turns out that the method can reduce the computational demands with 98% as compared to the standard representer method.