2021
DOI: 10.48550/arxiv.2104.02826
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Approximate Linearization of Fixed Point Iterations: Error Analysis of Tangent and Adjoint Problems Linearized about Non-Stationary Points

Emmett Padway,
Dimitri Mavriplis

Abstract: Previous papers have shown the impact of partial convergence of discretized PDE on the accuracy of tangent and adjoint linearizations. A series of papers suggested linearization of the fixed point iteration used in the solution process as a means of computing the sensitivities rather than linearizing the discretized PDE, as the lack of convergence of the nonlinear problem indicates that the discretized form of the governing equations has not been satisfied. These works showed that the accuracy of an approximat… Show more

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