Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs
| Type of publication: | Article |
| Citation: | |
| Journal: | Applied Mathematics and Computation |
| Year: | 2015 |
| DOI: | 10.1016/j.amc.2014.12.099 |
| Abstract: | We deal with the numerical solution of time dependent problems with the aid of anisotropic hp-grids. We present an algorithm which generates a sequence of anisotropic triangular grids and the corresponding polynomial approximation degrees in such a way that the interpolation error measured in the discrete L∞(0,T;Lq(Ω))-norm (q ∈ [1,∞] and Ω ⊂ R2) is under a given tolerance and the number of degrees of freedom is as small as possible. The efficiency of the algorithm is demonstrated by numerical experiments. |
| Preprint project: | NCMM |
| Preprint year: | 2015 |
| Preprint number: | 04 |
| Preprint ID: | NCMM/2015/04 |
| Keywords: | |
| Authors | |
| Added by: | [JP] |
| Total mark: | 0 |
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