Optimal convergence rates in L^2 for a first order system least squares finite element method. Part I: homogeneous boundary conditions

12/23/2020

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by   Maximilian Bernkopf, et al.

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We analyze a divergence based first order system least squares method applied to a second order elliptic model problem with homogeneous boundary conditions. We prove optimal convergence in the L^2(Ω) norm for the scalar variable. Numerical results confirm our findings.