Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs

Vít Dolejší

Applied Mathematics and Computation, 2015, vol. 267, issue C, 682-697

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.

Keywords: hp-methods; Anisotropic mesh adaptation; Interpolation error estimates (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:267:y:2015:i:c:p:682-697

DOI: 10.1016/j.amc.2014.12.099

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