Superconvergence of discontinuous Petrov-Galerkin approximations in linear elasticity

09/19/2022

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by   Fleurianne Bertrand, et al.

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Existing a priori convergence results of the discontinuous Petrov-Galerkin method to solve the problem of linear elasticity are improved. Using duality arguments, we show that higher convergence rates for the displacement can be obtained. Post-processing techniques are introduced in order to prove superconvergence and numerical experiments confirm our theory.