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
Approximation Theory for the P-Version of the Finite Element Method in Three Dimensions Part II: Convergence of the P Version of the Finite Element Method
โ Scribed by Guo, Benqi
- Book ID
- 118182552
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 480 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0036-1429
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The paper is the first in the series addressing the h-p version of the finite element method for parabolic equations. The h-p version is applied to both time and space variables. The present paper addresses the case when in time the p-version with one single time element is used. Error estimation is
## Abstract The paper is the second in the series addressing the __hโp__ version of the finite element method for parabolic equations. The present paper addresses the case when in both variables, the spatial and time, the __hโp__ version is used. Error estimation is given and numerical computations
A multilevel iteration scheme is utilized in the solution of equations resulting from the p-version of the finite element method. The advantage of this approach is that it is possible to attain the speed of multigrid techniques in the solution of systems of equations without generating a sequence of