A fast linearized virtual element method on graded meshes for nonlinear time-fractional diffusion equations
Qiling Gu,
Yanping Chen,
Jianwei Zhou
et al.
Abstract:In this paper, we develop a fast linearized virtual element method (VEM) for the approximation of the nonlinear time fractional diffusion equations on polygonal meshes. The L1-scheme with graded meshes is used to deal with the non-smooth system, the Newton linearized method is adopted to handle the nonlinear term and VEM is employed to discrete the spatial variable. Then the error splitting approach is used to prove the unconditional optimal error estimate of the fully-discrete linearized L1-VEM scheme. In ord… Show more
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