Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645161 | Applied Numerical Mathematics | 2014 | 35 Pages |
Abstract
We present a new anisotropic hp -adaptive technique, which can be employed for the numerical solution of various scientific and engineering problems governed by 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 LqLq-norm (q∈[1,∞]q∈[1,∞]). We develop the theoretical background of this approach and present several numerical examples demonstrating the efficiency of the anisotropic adaptive strategy.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Vít Dolejší,