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Anisotropic hp-adaptive method based on interpolation error estimates in the Lq-norm
Type of publication: Misc
Citation:
Publication status: Submitted
Year: 2013
Abstract: We present a new anisotropic hp-adaptive technique, which can be employed for the numerical solution of partial differential equations in 2D with the aid of a discontinuous piecewise polynomial approximation. This method generates anisotropic triangular grids and the corresponding polynomial approximation degrees based on the minimization of the interpolation error in the Lq-norm (q 2 [1,1]). We develop the theoretical background of this approach and present several numerical examples demonstrating the efficiency of the anisotropic adaptive strategy.
Preprint project: NCMM
Preprint year: 2013
Preprint number: 14
Preprint ID: NCMM/2013/14
Keywords:
Authors Dolejší, Vít
Added by: [JP]
Total mark: 0
Attachments
  • Anisot_all.pdf
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