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Finite Element Scheme with Crank-Nicolson Method for Parabolic Nonlocal Problems Involving the Dirichlet Energy

机译:具有曲柄 - 尼科尔森方法的有限元方案,用于涉及Dirichlet Energy的抛物线非识别问题

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摘要

In this paper, we present a finite element scheme with Crank-Nicolson method for solving nonlocal parabolic problems involving the Dirichlet energy. We discuss the well-posedness of the weak formulation at continuous as well as at discrete levels. We derive a priori error estimates for both semi-discrete and fully-discrete formulations. Results based on usual finite element method are provided to confirm the theoretical estimates.
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