TY - JOUR T1 - Preconditioned Hybrid Conjugate Gradient Algorithm for P-Laplacian AU - Zhou , G. AU - Huang , Y. AU - Feng , C. JO - International Journal of Numerical Analysis and Modeling VL - 0 SP - 123 EP - 130 PY - 2005 DA - 2005/11 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/952.html KW - AB -

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.