Krylov-Newton Algorithm: Difference between revisions
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{{CommandManualMenu}} | {{CommandManualMenu}} | ||
This command is used to construct a KrylovNewton algorithm object which | 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: | ||
{| | {| | ||
| style="background:yellow; color:black; width:800px" | '''algorithm | | style="background:yellow; color:black; width:800px" | '''algorithm KrylovNewton <-iterate $tangIter> <-increment $tangIncr> <-maxDim $maxDim>''' | ||
|} | |} | ||
| Line 14: | Line 14: | ||
| '''$tangIncr''' || tangent to increment on, options are current, initial, noTangent. default is current | | '''$tangIncr''' || tangent to increment on, options are current, initial, noTangent. default is current | ||
|- | |- | ||
| '''$maxDim''' || max number of | | '''$maxDim''' || max number of iterations until the tangent is reformed and the acceleration restarts (default = 3). | ||
|} | |} | ||
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REFERENCES: | 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. [http://dx.doi.org/10.1061/(ASCE)ST.1943-541X.0000143 DOI] | |||
---- | ---- | ||
Code Developed by: <span style="color:blue"> | Code Developed by: <span style="color:blue"> Michael Scott, Oregon State University </span> | ||
Latest revision as of 18:05, 15 January 2014
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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