Goal-oriented anisotropic grid adaptation

Abstract Venditti and Darmofal have introduced a grid adaptation strategy for estimating and reducing simulation errors in functional outputs of partial differential equations. The procedure is based on an adjoint formulation in which the estimated error in the functional can be directly related to the local residual errors of both the primal and adjoint solutions. In this note, we propose an extension of this method to the anisotropic case. The strategy proposed for grid adaptation is also compared with the anisotropic Hessian approach, based on the minimization of interpolation error. To cite this article: G. Roge, L. Martin, C. R. Acad. Sci. Paris, Ser. I 346 (2008).