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Titlebook: Large-Scale Scientific Computing; 11th International C Ivan Lirkov,Svetozar Margenov Conference proceedings 2018 Springer International Pub

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Numerical Solution of Cahn-Hilliard System by Adaptive Least-Squares Spectral Element Methodacy. The numerical solution of phase-field models has difficulties in dealing with non-self-adjoint operators and the resolution of high gradients within thin interface regions. We present an .-adaptive mesh refinement technique for the least-squares spectral element method for the phase-field model
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Stress-Velocity Mixed Least-Squares FEMs for the Time-Dependent Incompressible Navier-Stokes Equatiostigated. The formulation is based on the incompressible Navier-Stokes equations consisting of the balance of momentum and the continuity equations. In order to obtain a first-order system the Cauchy stress tensor is introduced as an additional variable to the system of equations. From this stress-v
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Preconditioners for Time-Harmonic Optimal Control Eddy-Current Problemsds for the preconditioned matrix and very few iterations that hold uniformly with respect to the mesh, problem and method parameters, with the exception of the dependence on reluctivity for the block diagonal preconditioner.
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Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effectstaking into account viscous, mixing, nematic, anchoring and stretching effects. Then, we provide a new linear unconditionally energy-stable splitting scheme. Moreover, we present numerical simulations to show the efficiency of the proposed numerical scheme and the influence of the different types of anchoring effects in the dynamics of the system.
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Spectral Mimetic Least-Squares Methods on Curvilinear Gridsal is satisfied up to machine precision. The convective term is represented using the Lie derivative, by means of Cartans homotopy formula. The spectral mimetic least-squares method is compared to a standard spectral least-squares method. It is shown that both schemes lead to spectral convergence.
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