Adjoint Methods for Guiding Adaptive Mesh Refinement in Tsunami Modeling
by Brisa N. Davis and R. J. LeVeque, Pure Appl. Geophys. 173 (2016), pp. 4055-4074.

Abstract. One difficulty in developing numerical methods for tsunami modeling is the fact that solutions contain regions where much higher resolution is required than elsewhere in the domain, particularly since the solution may contain discontinuities or other localized features. The Clawpack software deals with this issue by using block-structured adaptive mesh refinement to selectively refine around propagating waves. For problems where only a target area of the total solution is of interest (e.g. one coastal community), a method that allows identifying and refining the grid only in regions that influence this target area would significantly reduce the computational cost of finding a solution.

Journal: doi:10.1007/s00024-016-1412-y

Preprint: http://arxiv.org/abs/1605.05320

Code: https://github.com/clawpack/adjoint

bibtex entry:

@article{DavisLeVeque:adjoint2016,
  author="B. N. Davis and R. J. LeVeque",
  title="Adjoint Methods for Guiding Adaptive Mesh Refinement in Tsunami Modeling",
  journal="Pure Appl. Geophys.",
  volume="173",
  year="2016",
  pages="4055-4074",
  doi="10.1007/s00024-016-1412-y",
}