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Superconvergence of Piecewise Linear Semi-Discretizations for Parabolic Equatio...

In this paper we study the convergence properties of semi-discrete approximations for parabolic problems defined on two dimensional polygonal domains. These approximations are constructed using a nonstandard piecewise linear finite element method based on nonuniform triangulations of the domain and considering a variational formulation with a sesquilinear form which can be no strongly coercive. In order to incr...