Stable splitting of polyharmonic operators by generalized Stokes systems

@article{Gallistl2017StableSO,
  title={Stable splitting of polyharmonic operators by generalized Stokes systems},
  author={Dietmar Gallistl},
  journal={Math. Comput.},
  year={2017},
  volume={86},
  pages={2555-2577}
}
  • D. Gallistl
  • Published 29 March 2017
  • Mathematics, Computer Science
  • Math. Comput.
A stable splitting of 2m-th order elliptic partial differential equations into 2(m− 1) problems of Poisson type and one generalized Stokes problem is established for any space dimension d ≥ 2 and any integer m ≥ 1. This allows a numerical approximation with standard finite elements that are suited for the Poisson equation and the Stokes system, respectively. For some fourthand sixth-order problems in two and three space dimensions, precise finite element formulations along with a priori error… 
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