Moving Mesh Methods in Multiple Dimensions Based on Harmonic Maps

  title={Moving Mesh Methods in Multiple Dimensions Based on Harmonic Maps},
  author={Ruo Li and Tao Tang and Pingwen Zhang},
In practice, there are three types of adaptive methods using the finite element approach, namely the h-method,p-method, andr-method. In theh-method, the overall method contains two parts, a solution algorithm and a mesh selection algorithm. These two parts are independent of each other in the sense that the change of the PDEs will affect the first part only. However, in some of the existing versions of the r-m thod (also known as themoving mesh method ), these two parts are strongly associated… CONTINUE READING
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