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author:

Fan, Huijun (Fan, Huijun.) [1] | Zhao, Yanmin (Zhao, Yanmin.) [2] | Wang, Fenling (Wang, Fenling.) [3] | Shi, Yanhua (Shi, Yanhua.) [4] | Liu, Fawang (Liu, Fawang.) [5]

Indexed by:

Scopus SCIE CSCD

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.

Keyword:

Anisotropic meshes Convergence and superconver-gence L1-CN scheme Multi-term time-fractional mixed sub-diffusion and diffusion-wave equation Nonconforming FEM

Community:

  • [ 1 ] [Fan, Huijun]Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
  • [ 2 ] [Zhao, Yanmin]Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
  • [ 3 ] [Wang, Fenling]Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
  • [ 4 ] [Shi, Yanhua]Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
  • [ 5 ] [Fan, Huijun]Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
  • [ 6 ] [Zhao, Yanmin]Henan Joint Int Res Lab High Performance Computat, Xuchang 461000, Peoples R China
  • [ 7 ] [Wang, Fenling]Henan Joint Int Res Lab High Performance Computat, Xuchang 461000, Peoples R China
  • [ 8 ] [Shi, Yanhua]Henan Joint Int Res Lab High Performance Computat, Xuchang 461000, Peoples R China
  • [ 9 ] [Liu, Fawang]Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia
  • [ 10 ] [Liu, Fawang]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R China

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Source :

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

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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