Codice | MOX 32 |
Titolo | A Posteriori Dual-Mixed (Hybrid) Adaptive Finite Element Error Control for Lamé and Stokes Equations |
Data | 2004-03-08 |
Autore/i | Carstensen, Carsten; Causin, Paola; Sacco, Riccardo |
Link | Download full text |
Abstract | A unified and robust mathematical model for compressible and incompressible elasticity can be obtained by rephrasing the Hermann formulation within the Hellinger-Reissner principle. The quasi-optimally converging extension of PEERS (Plane Elasticity Element with Reduced Symmetry) is called Dual-Mixed Hybrid formulation (DMH). Explicit residual-based a posteriori error estimates for DMII are introduced and are mathematically shown to be locking-free, reliable, and efficient.
The estimator serves as a refinement indicator in an adaptive algorithm for effective automatic mesh generation. Numerical evidence supports that the adaptive scheme leads to optimal convergence for Lamé and Stokes benchmark problems with singularities. |
|