Analyzing Three-Dimensional Laplace Equations Using the Dimension Coupling Method
Fengbin Liu,
Mingmei Zuo,
Heng Cheng
et al.
Abstract:Due to the low computational efficiency of the Improved Element-Free Galerkin (IEFG) method, efficiently solving three-dimensional (3D) Laplace problems using meshless methods has been a longstanding research direction. In this study, we propose the Dimension Coupling Method (DCM) as a promising alternative approach to address this challenge. Based on the Dimensional Splitting Method (DSM), the DCM divides the 3D problem domain into a coupling of multiple two-dimensional (2D) problems which are handled via the… Show more
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