# Moving mesh partial differential equations (MMPDES) based on the equidistribution principle

@article{Huang1994MovingMP, title={Moving mesh partial differential equations (MMPDES) based on the equidistribution principle}, author={Weizhang Huang and Yuhe Ren and Robert D. Russell}, journal={SIAM Journal on Numerical Analysis}, year={1994}, volume={31}, pages={709-730} }

This paper considers several moving mesh partial differential equations that are related to the equidistribution principle. Several of these are new, and some correspond to discrete moving mesh equations that have been used by others. Their stability is analyzed and it is seen that a key term for most of these moving mesh PDEs is a source-like term that measures the level of equidistribution. It is shown that under weak assumptions mesh crossing cannot occur for most of them. Finally, numericalâ€¦Â

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## 354 Citations

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