On Stability and Convergence for Discrete-Discontinuous Finite Element Method

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In this paper, we deal with the discrete-discontinuous finite element method for solving the time-dependent neutron transport equation in two-dimensional planar geometry. Its stability and convergence are proved. The numerical results are given. Compared with SN method it is of higher accuracy and superconvergence.

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On Stability and Convergence for Discrete-Discontinuous Finite Element Method. (1984). Journal of Computational Mathematics, 2(3), 210-222. https://gsp.tricubic.dev/JCM/article/view/10766