Dual consistency and functional accuracy: a finite-difference perspective

@article{Hicken2014DualCA,
  title={Dual consistency and functional accuracy: a finite-difference perspective},
  author={Jason E. Hicken and David W. Zingg},
  journal={J. Comput. Physics},
  year={2014},
  volume={256},
  pages={161-182}
}
Consider the discretization of a partial differential equation (PDE) and an integral functional that depends on the PDE solution. The discretization is dual consistent if it leads to a discrete dual problem that is a consistent approximation of the corresponding continuous dual problem. Consequently, a dual-consistent discretization is a synthesis of the so-called discrete-adjoint and continuous-adjoint approaches. We highlight the impact of dual consistency on summation-by-parts (SBP) finite… CONTINUE READING

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