Adaptive DDA

[GoogleCodeExporter]

The idea is to implement internal convergence checks (based on e.g.
extrapolation technique) to make the code fully adaptive. So it may
automatically converge to the desired accuracy using minimum computer
resources.

We discussed it with Baptiste Auguie almost two years ago. Maybe there is
some ideas in his 'photonics' package written in R:
http://photonics.r-forge.r-project.org/

The implementation may be either by a wrapper script or coded into the ADDA.

Original issue reported on code.google.com by yurkin on 22 Mar 2010 at 6:44

• Blocked on: #52

[GoogleCodeExporter]

Baptiste's wrapper for ADDA in R is available at 
https://github.com/baptiste/adda/wiki/wrapper_primer together with usage 
example. It should be quite easy to extend it to perform adaptive DDA runs.

@baptiste

Original comment by yurkin on 18 May 2013 at 7:43

• Now blocked on: #52

[myurkin]

Related is the idea of coarse grid correction preconditioning, mentioned in Simoncini V, Szyld DB. Recent computational developments in Krylov subspace methods for linear systems. Num. Lin. Alg. Appl. 2007;14:1–59. doi: 10.1002/nla.499

[myurkin]

/cc @alkichigin