Analysis Of Moving Mesh Partial Differential Equations With Spatial Smoothing

@article{Huang1997AnalysisOM,
  title={Analysis Of Moving Mesh Partial Differential Equations With Spatial Smoothing},
  author={Weizhang Huang and Robert D. Russell},
  journal={SIAM Journal on Scientific Computing},
  year={1997}
}
Two moving mesh partial differential equations (MMPDEs) with spatial smoothing are derived based upon the equidistribution principle. This smoothing technique is motivated by the robust moving mesh method of Dorfi and Drury [J. Comput. Phys., 69 (1987), pp. 175--195]. It is shown that under weak conditions the basic property of no node-crossing is preserved by the spatial smoothing, and a local quasi-uniformity property of the coordinate transformations determined by these MMPDEs is proven. It… 
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