Abstract
In recent years, the boundary integral element method (BIEM) has been widely used in the area of groundwater modeling. This method which is based on the Green's theorem, has a variety of advantages over domain methods. The earlier applications of the BIEM to multilayer aquifer problems were made using iterative procedures. Iterative methods are usually slower than the direct solutions and are prone to errors due to their biased convergence criteria definitions. In the study presented here a noniterative boundary integral equation formulation (NIBIEM) for multilayer aquifer systems is developed. Further, this formulation is combined with the secondary reduction boundary element formulation (SR-BEM) to reduce the computation to a boundary only form. Numerical examples are included to demonstrate the accuracy and efficiency of the proposed formulation in application to classical multilayer aquifer problems.
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