论文信息 - On Global Multigrid Convergence for Nonlinear Problems

On Global Multigrid Convergence for Nonlinear Problems

We present a modification of the Nonlinear Multigrid Method. This new algorithm converges globally for nonlinear problems that result from finite element discretization of some class of nonlinear boundary value problems.

Arnold Reusken | Wolfgang Hackbusch

[1] Arnold Reusken,et al. Convergence of the multigrid full approximation scheme for a class of elliptic mildly nonlinear boundary value problems , 1987 .

[2] A. Reusken. Convergence of the multilevel Full Approximation Scheme including theV-cycle , 1988 .

[3] Wolfgang Hackbusch,et al. Multi-grid methods and applications , 1985, Springer series in computational mathematics.

[4] D. Rose,et al. Analysis of a multilevel iterative method for nonlinear finite element equations , 1982 .