3.2.5.5. Krylov-Newton Algorithm

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

Argument	Type	Description
$tangIter	string	tangent to iterate on, options are current, initial, noTangent. default is current.
$tangIncr	string	tangent to increment on, options are current, initial, noTangent. default is current
$maxDim	float	max number of iterations until the tangent is reformed and acceleration restarts (default = 3) of iterations within a time step until a new tangent is formed

This command is used to construct a KrylovNewton algorithm object which uses a modified Newton method with Krylov subspace acceleration to advance to the next time step.

Note

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