Improvement of generalized finite difference method for stochastic subsurface flow modeling

@article{Chen2021ImprovementOG,
  title={Improvement of generalized finite difference method for stochastic subsurface flow modeling},
  author={Shang-Ying Chen and Kuo-Chin Hsu and C. M. Fan},
  journal={J. Comput. Phys.},
  year={2021},
  volume={429},
  pages={110002}
}
Abstract Uncertainty is embedded in groundwater flow modeling because of the heterogeneity of hydraulic conductivity and the scarcity of measurements. To quantify the uncertainty of the modeled hydraulic head, this study proposes an improved version of the meshless generalized finite difference method (GFDM) for solving the statistical moment equation (ME). The proposed GFDM adopts a new support sub-domain for calculating the derivative of the head to improve accuracy. Synthetic fields are… Expand
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Simulation of antiplane shear problems with multiple inclusions using the generalized finite difference method
  • Ji Lin, Hao Yu
  • Computer Science, Mathematics
  • Appl. Math. Lett.
  • 2021
TLDR
The generalized finite difference method is adopted for solving antiplane shear problems with multiple inclusions in which the local Taylor expansion and moving least square method are applied to form the local system. Expand

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