Anisotropic hp-adaptive method based on interpolation error estimates in the Lq-norm
| Type of publication: | Misc |
| Citation: | |
| Publication status: | Submitted |
| Year: | 2013 |
| Abstract: | 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. |
| Preprint project: | NCMM |
| Preprint year: | 2013 |
| Preprint number: | 14 |
| Preprint ID: | NCMM/2013/14 |
| Keywords: | |
| Authors | |
| Added by: | [JP] |
| Total mark: | 0 |
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