Krylov-Newton Algorithm: Difference between revisions

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| '''$tangIncr''' || tangent to increment on, options are current, initial, noTangent. default is current
| '''$tangIncr''' || tangent to increment on, options are current, initial, noTangent. default is current
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|-
| '''$maxDim''' || max number of vectors stored.
| '''$maxDim''' || max number of iterations until the tangent is reformed and the acceleration restarts (default = 3).
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Latest revision as of 18:05, 15 January 2014




This command is used to construct a KrylovNewton algorithm object which uses a Krylov subspace accelerator to accelerate the convergence of the modified newton method. The command is of the following form:

algorithm KrylovNewton <-iterate $tangIter> <-increment $tangIncr> <-maxDim $maxDim>


$tangIter tangent to iterate on, options are current, initial, noTangent. default is current.
$tangIncr tangent to increment on, options are current, initial, noTangent. default is current
$maxDim max number of iterations until the tangent is reformed and the acceleration restarts (default = 3).



NOTES:



REFERENCES:

Scott, M.H. and G.L. Fenves. "A Krylov Subspace Accelerated Newton Algorithm: Application to Dynamic Progressive Collapse Simulation of Frames." Journal of Structural Engineering, 136(5), May 2010. DOI



Code Developed by: Michael Scott, Oregon State University