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- W2892600278 abstract "In this paper, we present a posteriori error estimate of a new weak Galerkin (WG) finite element method for the second order elliptic interface problems. Instead of introducing the local weak derivatives on each element, the bilinear form is computed through the inner product of traditional defined derivatives. The proposed numerical scheme is symmetric and positive definite, and can be applied to polygonal meshes. In the a posteriori error estimate, we construct a error indicator that can be applied to polygonal meshes or meshes with hanging nodes. The reliability and efficiency of the designed error estimator have been proved in this work. Extensive numerical tests are performed to validate our algorithm. These results demonstrate the effectiveness of the adaptive mesh refinement guided by the proposed error estimator." @default.
- W2892600278 created "2018-10-05" @default.
- W2892600278 creator A5060319992 @default.
- W2892600278 date "2019-12-01" @default.
- W2892600278 modified "2023-10-17" @default.
- W2892600278 title "A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes" @default.
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- W2892600278 doi "https://doi.org/10.1016/j.cam.2018.09.007" @default.
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