Anisotropic hp-adaptive method based on interpolation error estimates in the H1-seminorm
| Type of publication: | Misc |
| Citation: | |
| Publication status: | Accepted |
| Journal: | Applications of Mathematics |
| Year: | 2015 |
| Abstract: | We develop a new technique which, for the given smooth function, generates the anisotropic triangular grid and the corresponding polynomial approximation degrees based on the minimization of the interpolation error in the broken H1-seminorm. This technique can be employed for the numerical solution of boundary value problems with the aid of finite element methods. We present the theoretical background of this approach and show several numerical examples demonstrating the efficiency of the proposed anisotropic adaptive strategy in comparison with other adaptive approaches. |
| Preprint project: | NCMM |
| Preprint year: | 2015 |
| Preprint number: | 11 |
| Preprint ID: | NCMM/2015/11 |
| Keywords: | |
| Authors | |
| Added by: | [JP] |
| Total mark: | 0 |
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