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Abstract:
By employing EQ( 1)(rot) nonconforming finite element, the numerical approximation is presented for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on anisotropic meshes. Comparing with the multi-term time-fractional sub-diffusion e-quation or diffusion-wave equation, the mixed case contains a special time-space coupled derivative, which leads to many difficulties in numerical analysis. Firstly, a fully discrete scheme is established by using nonconforming finite element method (FEM) in spatial di-rection and L1 approximation coupled with Crank-Nicolson (L1-CN) scheme in temporal direction. Furthermore, the fully discrete scheme is proved to be unconditional stable. Besides, convergence and superclose results are derived by using the properties of EQ( 1)(rot) nonconforming finite element. What's more, the global superconvergence is obtained via the interpolation postprocessing technique. Finally, several numerical results are provided to demonstrate the theoretical analysis on anisotropic meshes.
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JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN: 0254-9409
CN: 11-2126/O1
Year: 2023
Issue: 3
Volume: 41
Page: 439-440
0 . 9
JCR@2023
0 . 9 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
ESI HC Threshold:13
JCR Journal Grade:2
CAS Journal Grade:4
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ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
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