Analysis and optimization of inner products for mimetic finite difference methods on a triangular grid

@article{Liska2004AnalysisAO,
  title={Analysis and optimization of inner products for mimetic finite difference methods on a triangular grid},
  author={Richard Liska and Mikhail Yu. Shashkov and Victor G. Ganzha},
  journal={Mathematics and Computers in Simulation},
  year={2004},
  volume={67},
  pages={55-66}
}
The support operator method designs mimetic finite difference schemes by first constructing a discrete divergence operator based on the divergence theorem, and then defining the discrete gradient operator as the adjoint operator of the divergence based on the Gauss theorem connecting the divergence and gradient operators, which remains valid also in the discrete case. When evaluating the discrete gradient operator, one needs to define discrete inner products of two discrete vector fields. The… CONTINUE READING