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Local approximation operators on box meshes

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 نشر من قبل Andrea Bressan
 تاريخ النشر 2018
  مجال البحث
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 تأليف Andrea Bressan




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This paper analyzes the approximation properties of spaces of piece-wise tensor product polynomials over box meshes with a focus on application to IsoGeometric Analysis (IGA). The errors are measured in Lebesgue norms. Estimates of different types are considered: local and global, with full or reduced Sobolev seminorms. Attention is also paid to the dependence on the degree and exponential convergence is proved for the approximation of analytic functions.

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