Abstract: This paper presents a cubic-spline multiscale finite element method (CMSFEM) for solving groundwater flow problems in porous media. The main idea of this method is using the multiscale finite element method (MSFEM) to ...

Abstract: The purpose of this paper is to modify the multiscale finite-element method (MSFEM) to solve groundwater flow problems in heterogeneous porous media, such as large-scale problems, long-term prediction problems, and nonlinear ...

Abstract: Two recharge ways, point inflow and lateral inflow, exist on the conduit network in karst aquifers. Point inflow is commonly included in pipe-flow models, but lateral inflow along the conduit network is often ignored. Few ...

Abstract: This paper proposes a finite volume–Yeh’s finite-element–multiscale finite-element model (FVYMSFEM) for solute transport simulations, which is extended from its elliptic groundwater-flow equation scheme. The primary goals ...