Hr-adaptivity for Nonconforming High-order Meshes with the Target Matrix Optimization Paradigm

  title={Hr-adaptivity for Nonconforming High-order Meshes with the Target Matrix Optimization Paradigm},
  author={Veselin A. Dobrev and Patrick M. Knupp and Tzanio V. Kolev and Ketan Mittal and Vladimir Z. Tomov},
We present an $hr$-adaptivity framework for optimization of high-order meshes. This work extends the $r$-adaptivity method for mesh optimization by Dobrev et al., where we utilized the Target-Matrix Optimization Paradigm (TMOP) to minimize a functional that depends on each element's current and target geometric parameters: element aspect-ratio, size, skew, and orientation. Since fixed mesh topology limits the ability to achieve the target size and aspect-ratio at each position, in this paper we… Expand
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  • Computer Science
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  • 2011
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