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Anisotropic hp-adaptive method based on interpolation error estimates in the H1-seminorm
Type of publication: Misc
Citation:
Publication status: Accepted
Journal: Applications of Mathematics
Year: 2015
Abstract: We develop a new technique which, for the given smooth function, generates the anisotropic triangular grid and the corresponding polynomial approximation degrees based on the minimization of the interpolation error in the broken H1-seminorm. This technique can be employed for the numerical solution of boundary value problems with the aid of finite element methods. We present the theoretical background of this approach and show several numerical examples demonstrating the efficiency of the proposed anisotropic adaptive strategy in comparison with other adaptive approaches.
Preprint project: NCMM
Preprint year: 2015
Preprint number: 11
Preprint ID: NCMM/2015/11
Keywords:
Authors Dolejší, Vít
Added by: [JP]
Total mark: 0
Attachments
  • 20150922200010.pdf
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