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### Discrete adjoint approximations with shocks

Abstract:

This paper is concerned with the formulation and discretisation of adjoint equations when there are shocks in the underlying solution to the original nonlinear hyperbolic p.d.e. For the model problem of a scalar unsteady one-dimensional p.d.e. with a convex flux function, it is shown that the analytic formulation of the adjoint equations requires the imposition of an interior boundary condition along any shock. A 'discrete adjoint' discretisation is defined by requiring the adjoint equations ...

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### Authors

Publisher:
Unspecified
Publication date:
2002-07-01
UUID:
uuid:140f2758-7432-4be7-93e2-44452e7d7a9a
Local pid:
oai:eprints.maths.ox.ac.uk:1218
Deposit date:
2011-05-20