Titlebook: Recent Progress in Computational and Applied PDES; Conference Proceedin Tony F. Chan,Yunqing Huang,Long-An Ying Conference proceedings 2002

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Superconductivity Analogies, Ferroelectricity and Flow Defects in Liquid Crystals,c and smectic phases, from the point of view of modeling and analysis. These include superconductivity analogies of the phase transition from nematic to smectic A*, ferro-electricity of the smectic C* and flow defects in some special regimes. Molecular chirality plays an important role in such behaviors.

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A Combination of Algebraic Multigrid Algorithms with the Conjugate Gradient Technique,onstrate that iterant recombination increases the efficiency and robustness of algebraic multigrid methods. To judge the performance of AMGCG, we not only focus on its convergence behavior, but also take both computing times and memory requirement into account.

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A Posteriori Error Estimates for Mixed Finite Elements of a Quadratic Control Problem, posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive mixed finite element methods for the control problem.

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