Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements

@article{Girault2008CouplingDG,
  title={Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements},
  author={Vivette Girault and Shuyu Sun and Mary F. Wheeler and Ivan Yotov},
  journal={SIAM J. Numerical Analysis},
  year={2008},
  volume={46},
  pages={949-979}
}
Abstract. Discontinuous Galerkin (DG) and mixed finite element (MFE) methods are two popular methods that possess local mass conservation. In this paper we investigate DG-DG and DG-MFE domain decomposition couplings using mortar finite elements to impose weak continuity of fluxes and pressures on the interface. The subdomain grids need not match, and the mortar grid may be much coarser, giving a two-scale method. Convergence results in terms of the fine subdomain scale h and the coarse mortar… CONTINUE READING
Highly Cited
This paper has 24 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
15 Citations
54 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 15 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 54 references

Compatible algorithms for coupled flow and transport

  • C. Dawson, S. Sun, M. F. Wheeler
  • Comput. Methods Appl. Mech. Engrg., 193
  • 2004
Highly Influential
17 Excerpts

An interior penalty finite element method with discontinuous elements

  • D. N. Arnold
  • SIAM J. Numer. Anal., 19
  • 1982
Highly Influential
20 Excerpts

An elliptic collocation-finite element method with interior penalties

  • M. F. Wheeler
  • SIAM J. Numer. Anal., 15
  • 1978
Highly Influential
20 Excerpts

Similar Papers

Loading similar papers…