A feed-back approach to error control in finite element methods: application to linear elasticity

摘要

Recently Refined approach to error control in finite element (FE) discretisations has been proposed, Becker and Rannacher (1995b), (1996), which uses Weighted a posteriori error estimates derived via duality Arguments. The conventional strategies for mesh reine- Ment in FE models of problems from elasticity theory are Mostly based on a posteriori error estimates in the energy Norm. Such estimates reflect the approximation properties Of the finite element ansatz by local interpolation constants While the stability properties of the continuous model Enter through a global coercivity constant.