An hp Adaptive Method Using Clouds

  title={An hp Adaptive Method Using Clouds},
  author={C. Armando Duarte and Tinsley Odent},
Several computational and mathematical features of the h-p cloud method are demonstrated in this paper. We show how h, p and h-p adaptivity can be implemented in the h-p cloud method without traditional grid concepts typical of finite element methods. The mathematical derivation of an a posteriori error estimate for the h-p cloud method is also presented. Severalnumerical examples illustrate the main ideas of the method. 
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