An adaptive solver for large-scale hierarchic finite element systems has been developed. A decision-making methodology aimed at selecting an optimal solution strategy on the basis of estimated conditioning, sparsity and memory requirements for a given problem has been devised. Numerical experiments
Effective and practical h–p-version adaptive analysis procedures for the finite element method
✍ Scribed by O. C. Zienkiewicz; J. Z. Zhu; N. G. Gong
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 773 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
✦ Synopsis
Two practical and effective, h-~p-type. finite element adaptive procedures are presented. The procedures allow not only the final global energy norni error to be well estimated using hierarchic p-refinement, but in addition give a nearly optimal mesh. The de'sign of this is guided by the local information computed on the previous mesh. The desired accuracy can always be obtained within one or at most two h-p-refinements,
The rate of convergence ofthe adaptive h-p-version analysis procedures has been tested for some examples and found to be very strong.
The presented procedures can easily be incorporated into existing p-or h-type code structures.
📜 SIMILAR VOLUMES
## Abstract The paper is the second in the series addressing the __h‐p__ version of the finite element method for parabolic equations. The present paper addresses the case when in both variables, the spatial and time, the __h‐p__ version is used. Error estimation is given and numerical computations