Picasso, M.2010-11-302010-11-302010-11-30200910.1002/cnm.1120https://infoscience.epfl.ch/handle/20.500.14299/60312WOS:000265311100002We propose a simple stopping criterion for the conjugate gradient (CG) algorithm in the framework of anisotropic, adaptive finite elements for elliptic problems. The goal of the adaptive algorithm is to find a triangulation such that the estimated relative error is close to a given tolerance TOL. We propose to stop the CG algorithm whenever the residual vector has Euclidian norm less than a small fraction of the estimated error. This stopping criterion is based on a posteriori error estimates between the true solution u and the computed solution u(h)(n) (the superscript n stands for the CG iteration number, the subscript It for the typical mesh size) and on heuristics to relate the error between u(h) and u(h)(n) to the residual vector.conjugate gradient algorithmstopping criteriona posteriori error estimatesanisotropic adaptive finite elementsPosteriori Error EstimatorHigh-Aspect-RatioMesh AdaptationElliptic ProblemsComputationstext::journal::journal article::research article