AN EFFICIENT PRECONDITIONING STRATEGY FOR SCHUR COMPLEMENTS ARISING FROM BIPHASIC MODELS

Marco Favino

References

  1. [1] Michele Benzi and Andrew J. Wathen. Model Or-der Reduction: Theory, Research Aspects and Appli-cations, chapter Some Preconditioning Techniques forSaddle Point Problems. Springer Verlag, 2008.
  2. [2] B. K. B. Berkovitz, G. R. Holland, and B. J. Moxham.A Colour Atlas and Textbook of Oral Anatomy. His-tology and Embryology. Wolfe Medical Publications,London, 2nd edition, 1992.
  3. [3] R. Bowen. Porous Elasticity: Lectures on the elas-ticity of porous materials as an application of thetheory of mixtures. Available electronically fromhttp://hdl.handle.net/1969.1/91297, 2010.
  4. [4] D. Braess and R. Sarazin. An efficient smoother forthe Stokes problem. Applied Numerical Mathematics,23(1):3 – 19, 1997. Multilevel Methods.
  5. [5] F. Brezzi and J.Pitk¨aranta. On the stabilization of fi-nite element approximations of the Stokes equations.In W. Hackbusch, editor, Efficient Solutions of EllipticSystems, pages 11–19. Vieweg, 1984.
  6. [6] W. Ehlers and B. Markert. A linear viscoelastic bipha-sic model for soft tissues based on the Theory ofPorous Media. ASME Journal of Biomechanical En-gineering, 128:418–424, 2001.
  7. [7] M. Favino, C. Gross, M. Drolshagen, L. Keilig,C. Bourauel, J.Deschner, and R. Krause. Validation ofa heterogeneous elastic-biphasic model for the numer-ical simulation of the PDL . Accepted for publicationto Computer Methods in Biomechanics and BiomedicalEngineering, 2011.
  8. [8] V. Mow, W. Lai, and M. Holmes. Advanced theoreti-cal and experimental techniques in cartilage research.Biomechanics: principle and applications, 1, 1982.
  9. [9] A. Quarteroni, R. Sacco, and F. Saleri. NumericalMathematics. Springer, New York, 3rd edition, 2010.6 Conclusion705

Important Links:

Go Back