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Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs
Type of publication: Article
Citation:
Journal: Applied Mathematics and Computation
Year: 2015
DOI: 10.1016/j.amc.2014.12.099
Abstract: We deal with the numerical solution of time dependent problems with the aid of anisotropic hp-grids. We present an algorithm which generates a sequence of anisotropic triangular grids and the corresponding polynomial approximation degrees in such a way that the interpolation error measured in the discrete L∞(0,T;Lq(Ω))-norm (q ∈ [1,∞] and Ω ⊂ R2) is under a given tolerance and the number of degrees of freedom is as small as possible. The efficiency of the algorithm is demonstrated by numerical experiments.
Preprint project: NCMM
Preprint year: 2015
Preprint number: 04
Preprint ID: NCMM/2015/04
Keywords:
Authors Dolejší, Vít
Added by: [JP]
Total mark: 0
Attachments
  • 20150622131544.pdf
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