A Preconditioner for the Ohta-Kawasaki Equation

@article{Farrell2017APF,
  title={A Preconditioner for the Ohta-Kawasaki Equation},
  author={Patrick E. Farrell and John W. Pearson},
  journal={SIAM J. Matrix Anal. Appl.},
  year={2017},
  volume={38},
  pages={217-225}
}
  • Patrick E. Farrell, John W. Pearson
  • Published 2017
  • Computer Science, Mathematics
  • SIAM J. Matrix Anal. Appl.
  • We propose a new preconditioner for the Ohta--Kawasaki equation, a nonlocal Cahn--Hilliard equation that describes the evolution of diblock copolymer melts. We devise a computable approximation to the inverse of the Schur complement of the coupled second-order formulation via a matching strategy. The preconditioner achieves mesh independence: as the mesh is refined, the number of Krylov iterations required for its solution remains approximately constant. In addition, the preconditioner is… CONTINUE READING

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 19 REFERENCES

    Fast Solvers for Cahn-Hilliard Inpainting

    VIEW 7 EXCERPTS
    HIGHLY INFLUENTIAL

    A Note on Preconditioning for Indefinite Linear Systems

    VIEW 1 EXCERPT