A NEWTON MULTIGRID METHOD FOR QUASILINEAR PARABOLIC EQUATIONS  

作　　者：YU Xijun 

机构地区：[1]Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009~26, Beijing 100088, China.

出　　处：《Journal of Systems Science & Complexity》2005年第4期429-438,共10页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China(10471011).

摘　　要：A combination of the classical Newton Method and the multigrid method, i.e., a Newton multigrid method is given for solving quasilinear parabolic equations discretized by finite elements. The convergence of the algorithm is obtained for only one step Newton iteration per level. The asymptotically computational cost for quasilinear parabolic problems is O（NNk） similar to multigrid method for linear parabolic problems.

关 键 词：Quasilinear parabolic equation finite element discretization Newton multi-grid method convergence analysis. 

分 类 号：O175.26[理学—数学]