In this work,we develop an efficient iterative scheme for a class of nonlocal evolution models involving a Caputo fractional derivative of order α(0,1) in time.The fully discrete scheme is obtained using the standard Galerkin method with conforming piecewise linear finite elements in space and corrected high-order BDF convolution quadrature in time.At each time step,instead of solving the linear algebraic system exactly,we employ a multigrid iteration with a Gauss-Seidel smoother to approximate the solution efficiently.Illustrative numerical results for nonsmooth problem data are presented to demonstrate the approach.
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