Convergence Analysis of the Defect-Correction Iteration for Hyperbolic Problems

@article{Dsidri1995ConvergenceAO,
  title={Convergence Analysis of the Defect-Correction Iteration for Hyperbolic Problems},
  author={Jean-Antoine D{\'e}sid{\'e}ri and Pieter W. Hemker},
  journal={SIAM J. Scientific Computing},
  year={1995},
  volume={16},
  pages={88-118}
}
This paper explains some of the convergence behaviour of iterative implicit and defect correction schemes for the solution of the discrete steady Euler equations. Such equations are also commonly solved by (pseudo) time integration, the steady solution being achieved as the limit (for t ! 1) of the solution of a time-dependent problem. Implicit schemes are then often chosen for their favourable stability properties, permitting large time-steps for eeciency. An important class of implicit… CONTINUE READING
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