TY - GEN T1 - Anisotropic hp-adaptive method based on interpolation error estimates in the Lq-norm A1 - Dolejší, Vít Y1 - 2013 N2 - 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. M1 - Preprint project = NCMM M1 - Preprint year = 2013 M1 - Preprint number = 14 M1 - Preprint ID = NCMM/2013/14 ER -