Volume 2, Issue 0
Preconditioned Hybrid Conjugate Gradient Algorithm for P-Laplacian

G. Zhou, Y. Haung & C. Feng

DOI:

Int. J. Numer. Anal. Mod., 2 Special Issue (2005), pp. 123-130

Published online: 2005-11

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  • Abstract

In this paper, a hybrid conjugate gradient algorithm with weighted preconditioner is proposed. The algorithm can efficiently solve the minimizing problem of general function deriving from finite element discretization of the p-Laplacian. The algorithm is efficient, and its convergence rate is mesh-independent. Numerical experiments show that the hybrid conjugate gradient direction of the algorithm is superior to the steepest descent one when p is large.

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