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• W2950871635 abstract "In this paper, we study fast iterative solvers for the solution of fourth order parabolic equations discretized by mixed finite element methods. We propose to use consistent mass matrix in the discretization and use lumped mass matrix to construct efficient preconditioners. We provide eigenvalue analysis for the preconditioned system and estimate the convergence rate of the preconditioned GMRes method. Furthermore, we show that these preconditioners only need to be solved inexactly by optimal multigrid algorithms. Our numerical examples indicate that the proposed preconditioners are very efficient and robust with respect to both discretization parameters and diffusion coefficients. We also investigate the performance of multigrid algorithms with either collective smoothers or distributive smoothers when solving the preconditioner systems." @default.
• W2950871635 created "2019-06-27" @default.
• W2950871635 creator A5012324763 @default.
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• W2950871635 date "2015-11-18" @default.
• W2950871635 modified "2023-09-24" @default.
• W2950871635 title "Fast multilevel solvers for a class of discrete fourth order parabolic problems" @default.
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• W2950871635 doi "https://doi.org/10.48550/arxiv.1511.05917" @default.
• W2950871635 hasPublicationYear "2015" @default.
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