Felix Kwok
Assistant professor
Department of Mathematics
Hong Kong Baptist University (HKBU)
China
Biography
Assistant professor at the Department of Mathematics at Hong Kong Baptist University.
Research Interest
My general research interests revolve around algorithms and techniques for efficient large-scale simulations in physics and engineering, particularly when the models are described by PDEs or systems of PDEs. Typically, such simulations must repeatedly solve large, sparse linear and nonlinear systems of equations that result from discretizing the PDEs. To extract maximum efficiency, it is crucial to employ fast, robust and mathematically sound linear and nonlinear solvers, specialized to exploit both the underlying physics of the problem and well-known numerical techniques. Solver design is thus a fascinating topic that lies at the crossroads of mathematical analysis, scientific computing and engineering. It is this fundamentally interdisciplinary nature that I find particularly stimulating and rewarding.
Publications
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Optimized additive Schwarz with Harmonic Extension as a discretization of continuous parallel Schwarz methods. F. Kwok, SIAM J. Numer. Anal., 49:1289–1316, 2011.
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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.
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Potential-based reduced Newton algorithm for nonlinear multiphase flow in porous media. F. Kwok and H. Tchelepi, J. Comput. Phys., 227:706–727, 2007.