Error analysis and improvement of first-order design sensitivity relations |
| |
| Authors: | Daniel Materna Franz-Joseph Barthold |
| |
| Institution: | Chair of Numerical Methods and Information Processing, Dortmund University of Technology, August-Schmidt-Str. 8, D-44227 Dortmund, Germany |
| |
| Abstract: | This contribution is concerned with novel approaches for error estimation and the improvement of first-order design sensitivities for the state. These approaches are based on an exact representation of the design sensitivity of the state, which is obtained by performing different Taylor expansions with integral remainders. We consider a general variational framework and present the application of the proposed approach to shape sensitivity for the model problem of nonlinear elasticity. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| |
| Keywords: | |
|
|
