Mesh Independence of Matrix-Free Methods for Path Following

Authors:
W. R. Ferng;C. T. Kelley
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
1999

Citing 0
Cited 1

Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method

Journal of Computational and Applied Mathematics

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Abstract

In this paper we consider a matrix-free path following algorithm for nonlinear parameter-dependent compact fixed point problems. We show that if these problems are discretized so that certain collective compactness and strong convergence properties hold, then this algorithm can follow smooth folds and capture simple bifurcations in a mesh-independent way.