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### On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations

Abstract:

This paper considers the solution of steady adjoint equations using a class of iterative methods which includes preconditioned Runge-Kutta time-marching with multigrid. It is shown that, if formulated correctly, equal numbers of iterations of the direct and adjoint iterative solvers will result in the same value for the linear functional being sought. The precise details of the adjoint iteration are formulated for the case of Runge-Kutta time-marching with partial updates, which is commonly u...

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### Authors

Publication date:
2000-06-05
URN:
uuid:8866ebe2-c76f-41d4-817e-04aa078d1858
Local pid:
oai:eprints.maths.ox.ac.uk:1271