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

65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
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