Massively parallel finite difference elasticity using a block-structured adaptive mesh refinement with a geometric multigrid solver

@article{Runnels2021MassivelyPF,
  title={Massively parallel finite difference elasticity using a block-structured adaptive mesh refinement with a geometric multigrid solver},
  author={Brandon Runnels and V. Agrawal and W. Zhang and A. Almgren},
  journal={J. Comput. Phys.},
  year={2021},
  volume={427},
  pages={110065}
}
The finite element method (FEM) is, by far, the dominant method for performing elasticity calculations. The advantages are primarily (1) its ability to handle meshes of complex geometry using isoparametric elements, and (2) the weak formulation which eschews the need for computation of second derivatives. Despite its widespread use, FEM performance is sub-optimal when working with adaptively refined meshes, due to the excess overhead involved in reconstructing stiffness matrices. Furthermore… Expand
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