Application of a Hierarchical Chromosome Based Genetic Algorithm to the Problem of Finding Optimal Initial Meshes for the Self-Adaptive hp-FEM
Anna Paszyńska ; Maciej Paszyński
Computing and Informatics, Tome 28 (2012) no. 1, p. 209-223 / Harvested from Computing and Informatics
Text on Computing and Informatics
The paper presents an algorithm for finding the optimal initial mesh for the self-adaptive hp Finite Element Method (hp-FEM) calculations. We propose the application of the hierarchical chromosome based genetic algorithm for optimal selection of the initial mesh. The selection of the optimal initial mesh will optimize the convergence rate of the numerical error of the solution over the sequence of meshes generated by the self-adaptive hp-FEM. This is especially true in the case when material data are selected as a result of some stochastic algorithm and it is not possible to design optimal initial mesh by hand. The algorithm has been tested on the non-stationary mass transport problem modeling phase transition phenomenon.
Publié le : 2012-01-26
Classification:  
@article{cai34,
     author = {Anna Paszy\'nska and Maciej Paszy\'nski},
     title = {Application of a Hierarchical Chromosome Based Genetic Algorithm to the Problem of Finding Optimal Initial Meshes for the Self-Adaptive hp-FEM},
     journal = {Computing and Informatics},
     volume = {28},
     number = {1},
     year = {2012},
     pages = { 209-223},
     language = {en},
     url = {http://dml.mathdoc.fr/item/cai34}
}

Anna Paszyńska; Maciej Paszyński. Application of a Hierarchical Chromosome Based Genetic Algorithm to the Problem of Finding Optimal Initial Meshes for the Self-Adaptive hp-FEM. Computing and Informatics, Tome 28 (2012) no. 1, pp.  209-223. http://gdmltest.u-ga.fr/item/cai34/