About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Dolejší, Vít
$hp$-anisotropic mesh adaptation technique based on interpolation error estimates. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 32-41
MSC: 35J25, 65N15, 65N30, 65N50 | MR 3204428 | Zbl 1340.65285
Keywords:
mesh generation; anisotropic mesh; convection-diffusion equation; interpolation error estimates; numerical example
Summary:
We present a completely new $hp$-anisotropic mesh adaptation technique for the numerical solution of partial differential equations with the aid of a discontinuous piecewise polynomial approximation. This approach generates general anisotropic triangular grids and the corresponding degrees of polynomial approximation based on the minimization of the interpolation error. We develop the theoretical background of this approach and present a numerical example demonstrating the efficiency of this anisotropic strategy in comparison with an isotropic one.
Partner of
EuDML logo