Felix Kwok Section de mathématiques Université de Genève 2–4 rue du Lièvre, CP 64 1211 Genève 4, Switzerland

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Refereed journal publications

• Potential-based reduced Newton algorithm for nonlinear multiphase flow in porous media. F. Kwok and H. Tchelepi, J. Comput. Phys., 227:706–727, 2007.
• Convergence of implicit monotone schemes with applications in multiphase flow in porous media. F. Kwok and H. Tchelepi, SIAM J. Numer. Anal., 46:2662–2687, 2008.
• Optimized additive Schwarz with Harmonic Extension as a discretization of continuous parallel Schwarz methods. F. Kwok, SIAM J. Numer. Anal.,, 49:1289–1316, 2011.
• Chladni Figures and the Tacoma Bridge: Motivating PDE Eigenvalue Problems via Vibrating Plates. Martin J. Gander and F. Kwok, accepted for publication in SIAM Review.
• Best Robin parameters for optimized Schwarz methods at cross points. M. J. Gander and F. Kwok, submitted to SIAM Journal on Scientific Computing.
• Accuracy and stability of a predictor-corrector Crank-Nicolson method with many subdomains. F. Kwok, submitted to SIAM Journal on Numerical Analysis.

Refereed conference proceedings

• Optimal interface conditions for an arbitrary decomposition into subdomains. M. J. Gander and F. Kwok, Domain Decomposition in Science and Engineering XIX, Lecture Notes in Computational Science and Engineering 78, pp. 101–108, Springer-Verlag 2010.
• Is Additive Schwarz with Harmonic Extension just Lions' method in disguise? F. Kwok, Domain Decomposition in Science and Engineering XIX, Lecture Notes in Computational Science and Engineering 78, pp. 439–446, Springer-Verlag 2010.
• Discrete energy estimates for optimized Schwarz methods with cross points. M. J. Gander and F. Kwok, submitted to the Proceedings of the 20th International Conference on Domain Decomposition Methods, San Diego, CA, February 2011.

Preprints (available upon request)

• F. Kwok and H. Tchelepi, A potentially-ordered preconditioner for multicomponent multiphase flow in porous media.
• F. Kwok, A note on optimal Robin parameters for two-subdomain problems.

Conference posters

• Ordering-based approaches for improving solver efficiency in reservoir simulation. F. Kwok, Colloque Numérique Suisse, Université de Fribourg, April 2008.
• Optimized Schwarz method for problems with cross points. M. J. Gander and F. Kwok, Swiss Numerics Colloquium, ETH Zurich, April 2010.
• A domain decomposition method that converges in two iterations for any subdomain decomposition and PDE. M. J. Gander and F. Kwok, High Performance Computing and Emerging Architectures, IMA, University of Minnesota, January 2011.

Miscellaneous

• Scalable Linear and Nonlinear Algorithms for Multiphase Flow in Porous Media. F. Kwok, Ph.D. thesis, Stanford University, December 2007.
• Prix Nobel de chimie, quasi-cristaux, périodicité et pavages. Pierre de la Harpe and Felix Kwok, Images des Mathématiques, CNRS, 2011. (Online article for general public, available at http://images.math.cnrs.fr/Prix-Nobel-de-chimie-quasi.html)