期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 43, 期 3-5, 页码 423-438出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0898-1221(01)00296-6
关键词
radial basis functions; Newton's method; multilevel methods; numerical solution of partial differential equations
Newton iteration is a standard tool for the numerical solution of nonlinear partial differential equations. We show how globally supported multiquadric radial basis functions can be used for this task. One of the insights gained is that the use of coarse meshes during the initial iterations along with a multiquadric parameter which Is adjusted with the meshsize increases the efficiency and stability of the resulting algorithm. Some experiments with Nash iteration are also included. (C) 2002 Elsevier Science Ltd. All rights reserved.
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