TY  - JOUR
T1  - Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs
A1  - Dolejší, Vít
JA  - Applied Mathematics and Computation
Y1  - 2015
M2  - doi: 10.1016/j.amc.2014.12.099
N2  - 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.
M1  - Preprint project = NCMM
M1  - Preprint year = 2015
M1  - Preprint number = 04
M1  - Preprint ID = NCMM/2015/04
ER  -