Marín-Gayte Theoretical and numerical local null controllability of a quasi-linear parabolic equation in dimensions 2 and 3 Finally, the superconvergence rate of O(h^3)-order is proved for the eigenvalue approximation and the numerical experiment is provided to confirm the theoretical analysis. Then a superconvergence result of O(h^3/2)-order for the pressure approximation and the velocity gradient approximation under the condition of strong regular mesh triangulation are obtained. Firstly, we derive the superclose property of the interpolation function. In this paper we consider the stable P1 – P1 finite element pair solving the Stokes eigenvalue problem and derive some superconvergence results based on the interpolation post-processing technique. Latest Articlesįebru| Ying Sheng, Tie Zhang, Zixing Pan Superconvergence of the finite element method for the Stokes eigenvalue problem Rescale offers academic users up to 500 core hours on their HPC cloud. Learn how to run FreeFEM with Qarnot's sustainable HPC platform on Qarnot's blog.įreeFEM is also available on Rescale's ScaleX® Pro. With Qarnot's HPC platform, 7 lines of python code is all you need to run a FreeFEM simulation in the cloud. Written in C++ to optimize for speed, FreeFEM is interfaced with the popular mumps, PETSc and HPDDM solvers.

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