A Numerical Study Of Some Hessian Recovery Techniques On Isotropic And Anisotropic Meshes
Spaces of continuous piecewise linear finite elements are considered to solve a Poisson problem, and several numerical methods are investigated to recover second derivatives. Numerical results on 2D and 3D isotropic and anisotropic meshes indicate that the quality of the results is strongly linked to the mesh topology and that no convergence can be insured in general.
Keywords: finite elements ; Hessian recovery ; anisotropic meshes ; Polynomial Preserving Recovery ; Finite-Element Approximations ; Posteriori Error Estimators ; Aspect-Ratio ; Gradient ; Superconvergence ; Adaptation ; Flows ; Cfd
Record created on 2011-10-19, modified on 2016-08-09