A Posteriori Error Estimation in Sensitivity Analysis

Gustavo C. Buscaglia, Claudio Padra, Raúl A. Feijóo


We present a posteriori error estimators suitable for automatic mesh refinement in the numerical evaluation of sensitivity by means of the finite element method. Both diffusion (Poissontype) and elasticity problems are considered, and the equivalence between the true error and the proposed error estimator is proved. Application to shape sensitivity is briefly addressed.

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ISSN 2591-3522