Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems

@article{Cao2014ParallelNM,
  title={Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems},
  author={Yanzhao Cao and Max Gunzburger and Xiaoming He and Xiaoming Wang},
  journal={Math. Comput.},
  year={2014},
  volume={83},
  pages={1617-1644}
}
Two parallel, non-iterative, multi-physics, domain decomposition methods are proposed to solve a coupled time-dependent Stokes-Darcy system with the Beavers-Joseph-Saffman-Jones interface condition. For both methods, spatial discretization is effected using finite element methods. The backward Euler method and a three-step backward differentiation method are used for the temporal discretization. Results obtained at previous time steps are used to approximate the coupling information on the… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 14 CITATIONS, ESTIMATED 28% COVERAGE

fewer than 50 Citations

051015'14'16'18
Citations per Year
Semantic Scholar estimates that this publication has 50 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
SHOWING 1-10 OF 109 REFERENCES

Galerkin finite element methods for parabolic problems, 2nd ed

  • Vidar Thomée
  • Springer Series in Computational Mathematics,
  • 2006
Highly Influential
4 Excerpts

A new least - squares finite element model for combined Navier - Stokes and Darcy flows in geometrically complicated domains with solid and porous boundaries , Internat

  • J. Petera
  • J . Numer . Methods Engrg .
  • 2011

A posteriori error estimate for the Stokes-Darcy system, Math

  • Ming Cui, Ningning Yan
  • Methods Appl. Sci
  • 2011

Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem, Numer

  • Gabriel N. Gatica, Ricardo Oyarzúa, Francisco-Javier Sayas
  • Methods Partial Differential Equations
  • 2011
1 Excerpt

Darcy-Stokes equations with finite difference and natural boundary element coupling method

  • Weihong Peng, Guohua Cao, Dongzhengzhu, Shuncai Li
  • CMES Comput. Model. Eng. Sci
  • 2011
1 Excerpt

Feuillebois, Perturbation solution of the coupled Stokes-Darcy problem

  • Sondes Khabthani, Lassaad Elasmi, François
  • Discrete Contin. Dyn. Syst. Ser. B
  • 2011
1 Excerpt

Similar Papers

Loading similar papers…