A continuation anisotropic adaptive algorithm to solve elliptic PDEs is pre sented. The p-laplacian problem and the Stokes equation are considered. The algorithm is based on an a posteriori error indicator justified in  and . The goal is to produce an anisotropic mesh such that the relative estimated error is close to a preset tolerance TOL. A continuation method is used to decrease TOL. Numerical results show that the computational time is considerably reduced when using such a continuation algorithm.
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