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• W3094610617 abstract "Abstract We devise a method for nonlinear time-dependent partial-differential-equation-constrained optimization problems that uses a spectral-in-time representation of the residual, combined with a Newton–Krylov method to drive the residual to zero. We also propose a preconditioner to accelerate this scheme. Numerical results indicate that this method can achieve fast and accurate solution of nonlinear problems for a range of mesh sizes and problem parameters. The numbers of outer Newton and inner Krylov iterations required to reach the attainable accuracy of a spatial discretization are robust with respect to the number of collocation points in time and also do not change substantially when other problem parameters are varied." @default.
• W3094610617 created "2020-10-29" @default.
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• W3094610617 date "2021-02-25" @default.
• W3094610617 modified "2023-10-18" @default.
• W3094610617 title "A spectral-in-time Newton–Krylov method for nonlinear PDE-constrained optimization" @default.
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• W3094610617 doi "https://doi.org/10.1093/imanum/drab011" @default.
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