| Abstract: |
| In this presentation, we unveil a robust framework for addressing multiscale complexities in diverse perforated domains, employing the Constraint Energy Minimizing - Generalized Multiscale Finite Element Method (CEM-GMsFEM). Simulating within such domains is computationally intensive due to varying perforation and domain scales. Our method addresses both the Poisson equation and linear elastic problems within these domains. Our approach comprises two main steps: firstly, solving an eigenvalue problem within a coarse block, and secondly, resolving a minimization problem within an oversampled domain. Furthermore, we demonstrate the variability of oversampling layers in controlling exponential decay. |
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