Anisotropic norm-oriented mesh adaptation for a Poisson problem

Abstract

We present a novel formulation for the mesh adaptation of the approximation of a PDE. The discussion is restricted to a Poisson problem. The proposed formulation extends the goal-oriented formulation, since it is equation-based and uses an adjoint. At the same time, it supersedes it as a solution-convergent method. Indeed, goal-oriented methods rely on the… (More)
DOI: 10.1016/j.jcp.2016.07.008

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