Volume 2, 1997Elasticity, viscoelasticity and optimal control
|Page(s)||1 - 16|
|Published online||15 August 2002|
Mesh optimization: some results in 3D elasticity
Instituto Balseiro and Centro Atomico Bariloche, 8400 Bariloche, Argentina
2 Instituto Balseiro and Centro Atomico Bariloche, 8400 Bariloche, ARGENTINA
Though the mathematical theory of classical linear elasticity is well established, there still lack some ingredients toward the numerical solution of real technological problems. In this paper we address one of these critical ingredients, namely the automatic construction of three-dimensional meshes in arbitrary geometries. Several methods exist for this purpose, but further improvements are still required to achieve the needed robustness and generality. We present and discuss the idea of mesh optimization, namely the manipulation of the mesh geometry and topology so as to maximize some suitable quality measure. The effects of mesh optimization in the finite element solution of a linear thermoelastic problem are evaluated. Finally, we report on a recent method that couples mesh optimization with a posteriori error estimation ideas, so that mesh refinement in regions of high stress gradients is achieved through optimization using a suitable space-varying metric. Numerical results for this last techniques are restricted to two dimensions, as a 3D implementation is under way.
© EDP Sciences, ESAIM, 1997
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.