Analysis and computation of adaptive moving grids by deformation. (English) Zbl 0856.65109

Bochev, Pavel; Liao, Guojun; dela Pena, Gary

Numer. Methods Partial Differ. Equations 12, No. 4, 489-506 (1996).

The authors develop and analyse a numerical method for creating an adaptive moving grid in one, two and three dimensions. The algorithm is developed for theoretical foundation. Finally a numerical implementation of the method is made using a Runge-Kutta scheme. Results of several experiments are presented and one result among other things indicates that the method accurately redistributes the nodes and does not tangle the mean.

Reviewer: P.K.Mahanti (Ranchi)

MSC:

65M50

Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs

Keywords:

numerical examples; adaptive moving grid; Runge-Kutta scheme

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