Search Results - Time two-mesh algorithm

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  1. 1

    Time two-mesh algorithm combined with finite element method for time fractional water wave model by Liu, Yang, Yu, Zudeng, Li, Hong, Liu, Fawang, Wang, Jinfeng

    ISSN: 0017-9310, 1879-2189
    Published: Oxford Elsevier Ltd 01.05.2018
    “… In this article, a new time two-mesh (TT-M) finite element (FE) method, which is constructed by a new TT-M algorithm and FE method in space, is proposed and analyzed…”
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    Journal Article
  2. 2

    A Fast Time Two-Mesh Algorithm for Allen–Cahn Equation by Wang, Danxia, Du, Qingqing, Zhang, Jianwen, Jia, Hongen

    ISSN: 0126-6705, 2180-4206
    Published: Singapore Springer Singapore 01.05.2020
    “… A fast algorithm based on time two-mesh (TT-M) finite element (FE) scheme is proposed to overcome the time-consuming computation of nonlinear terms…”
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    Journal Article
  3. 3

    A fast time two-mesh finite volume element algorithm for the nonlinear time-fractional coupled diffusion model by Fang, Zhichao, Zhao, Jie, Li, Hong, Liu, Yang

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.06.2023
    Published in Numerical algorithms (01.06.2023)
    “…In this work, a fast second-order finite volume element (FVE) algorithm is proposed to solve the nonlinear time-fractional coupled diffusion model based on the time two-mesh (TT-M) computing method…”
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    Journal Article
  4. 4

    Unconditionally optimal time two-mesh mixed finite element algorithm for a nonlinear fourth-order distributed-order time fractional diffusion equation by Wen, Cao, Wang, Jinfeng, Liu, Yang, Li, Hong, Fang, Zhichao

    ISSN: 0167-2789, 1872-8022
    Published: Elsevier B.V 01.04.2024
    Published in Physica. D (01.04.2024)
    “…In this article, a fast second-order time two-mesh mixed finite element (TT-MMFE) algorithm is considered to numerically solve the nonlinear fourth-order…”
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    Journal Article
  5. 5

    Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model by Wen, Cao, Liu, Yang, Yin, Baoli, Li, Hong, Wang, Jinfeng

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.10.2021
    Published in Numerical algorithms (01.10.2021)
    “…In this article, a time two-mesh (TT-M) algorithm combined with the H 1 -Galerkin mixed finite element (FE…”
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    Journal Article
  6. 6

    A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation by He, Siriguleng, Liu, Yang, Li, Hong

    ISSN: 1099-4300, 1099-4300
    Published: Basel MDPI AG 09.06.2022
    Published in Entropy (Basel, Switzerland) (09.06.2022)
    “… To improve the computing efficiency, a fast algorithm based on the time two-mesh high-order compact difference scheme for solving the nonlinear…”
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    Journal Article
  7. 7

    An Efficient Temporal Two-Mesh Compact ADI Method for Nonlinear Schrödinger Equations with Error Analysis by He, Siriguleng, Buhe, Eerdun, Bai, Chelimuge

    ISSN: 2075-1680, 2075-1680
    Published: Basel MDPI AG 01.11.2025
    Published in Axioms (01.11.2025)
    “… To boost efficiency when solving the associated nonlinear system, we then implement this scheme using a temporal two-mesh (TTM) algorithm…”
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    Journal Article
  8. 8

    Fast algorithm based on TT-M FE system for space fractional Allen–Cahn equations with smooth and non-smooth solutions by Yin, Baoli, Liu, Yang, Li, Hong, He, Siriguleng

    ISSN: 0021-9991, 1090-2716
    Published: Cambridge Elsevier Inc 15.02.2019
    Published in Journal of computational physics (15.02.2019)
    “… In this article, a fast algorithm based on time two-mesh (TT-M) finite element (FE) scheme, which aims at solving nonlinear problems quickly, is considered to numerically solve the nonlinear space fractional Allen…”
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    Journal Article
  9. 9

    Optimal time two-mesh mixed finite element method for a nonlinear fractional hyperbolic wave model by Yang, Yining, Wen, Cao, Liu, Yang, Li, Hong, Wang, Jinfeng

    ISSN: 2836-3310, 2836-3310
    Published: AIMS Press 2024
    “… $ combined with a fast time two-mesh (TT-M) mixed finite element (MFE) scheme was considered to look for the numerical solution of the nonlinear fractional hyperbolic wave model…”
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    Journal Article
  10. 10

    TT-M Finite Element Algorithm for the Coupled Schrödinger–Boussinesq Equations by Tian, Jiale, Sun, Ziyu, Liu, Yang, Li, Hong

    ISSN: 2075-1680, 2075-1680
    Published: Basel MDPI AG 01.07.2022
    Published in Axioms (01.07.2022)
    “…In this article, the coupled Schrödinger–Boussinesq equations are solved numerically using the finite element method combined with the time two-mesh (TT-M) fast algorithm…”
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    Journal Article
  11. 11

    Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model by Chai, Li, Liu, Yang, Li, Hong, Gao, Wei

    ISSN: 0898-1221, 1873-7668
    Published: Elsevier Ltd 01.07.2023
    “… in the time direction, and introduce a fast time two-mesh (TT-M) algorithm to save calculation time while maintaining computational accuracy…”
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    Journal Article
  12. 12

    TT-M FE method for a 2D nonlinear time distributed-order and space fractional diffusion equation by Gao, Xinghua, Yin, Baoli, Li, Hong, Liu, Yang

    ISSN: 0378-4754, 1872-7166
    Published: Elsevier B.V 01.03.2021
    Published in Mathematics and computers in simulation (01.03.2021)
    “…In this paper, we consider a fast algorithm to calculate a two-dimensional nonlinear time distributed-order and space fractional diffusion equation, which is called the time two-mesh (TT-M) finite element (FE) method…”
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    Journal Article
  13. 13

    Parallel Algorithm for CFD LU-SGS Time Stepping with Two Dimensional Structured Meshes by Gong, Chunyeu, Bao, Weimin, Tang, Guojian, Wang, Ling, Liu, Jie, Hu, Qingfeng

    ISSN: 1673-9418
    Published: 01.10.2013
    “…) time stepping with two dimensional structured meshes, this paper presents a wavefront parallel algorithm, and designs the corresponding data structure, memory access method with better data locality…”
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    Journal Article
  14. 14

    A Time Two-Mesh Finite Difference Numerical Scheme for the Symmetric Regularized Long Wave Equation by Gao, Jingying, He, Siriguleng, Bai, Qingmei, Liu, Jie

    ISSN: 2504-3110, 2504-3110
    Published: Basel MDPI AG 01.06.2023
    Published in Fractal and fractional (01.06.2023)
    “… To approximate the solutions of the equation, a time two-mesh (TT-M) decoupled finite difference numerical scheme is proposed in this paper to improve the efficiency of solving the SRLW equation…”
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    Journal Article
  15. 15

    A two-mesh coupled gas flow–solid interaction model for 2D blast analysis in fractured media by Mohammadi, S., Pooladi, A.

    ISSN: 0168-874X, 1872-6925
    Published: Amsterdam Elsevier B.V 01.03.2012
    Published in Finite elements in analysis and design (01.03.2012)
    “…A 2D coupled two-mesh interaction model for blast gas flow through fractured and fragmented solid media is presented…”
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    Journal Article
  16. 16

    Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions by Yin, Baoli, Liu, Yang, Li, Hong, He, Siriguleng

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 01.06.2018
    Published in arXiv.org (01.06.2018)
    “…In this article, a fast algorithm based on time two-mesh (TT-M) finite element (FE) scheme, which aims at solving nonlinear problems quickly, is considered…”
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    Paper
  17. 17

    Fast algorithm for viscous Cahn-Hilliard equation by Wang, Danxia, Li, Yaqian, Wang, Xingxing, Jia Hongen

    ISSN: 2731-8648, 2731-8656
    Published: Dordrecht Springer Nature B.V 01.08.2022
    Published in Frontiers of Mathematics (01.08.2022)
    “…The main purpose of this paper is to solve the viscous Cahn-Hilliard equation via a fast algorithm based on the two time-mesh (TT-M) finite element (FE…”
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    Journal Article
  18. 18

    Inverse source in two-parameter anomalous diffusion, numerical algorithms, and simulations over graded time meshes by Furati, Khaled M., Mustapha, Kassem, Sarumi, Ibrahim O., Iyiola, Olaniyi S.

    ISSN: 2238-3603, 1807-0302
    Published: Cham Springer International Publishing 01.02.2021
    Published in Computational & applied mathematics (01.02.2021)
    “… We develop a stable numerical algorithm, based on discontinuous collocation method, for approximating the unknown time-dependent source term…”
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  19. 19

    Two-grid fully discrete finite element algorithms on temporal graded meshes for nonlinear multi-term time-fractional diffusion equations with variable coefficient by Li, Kang, Tan, Zhijun

    ISSN: 1007-5704, 1878-7274
    Published: Elsevier B.V 01.10.2023
    “…In this paper, we are concerned with two-grid fully discrete finite element algorithms for solving the nonlinear multi-term time-fractional diffusion equation with a variable coefficient…”
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  20. 20

    An efficient two-dimensional graded mesh finite-difference time-domain algorithm for shielded or open waveguide structures by Brankovic, V.J., Krupezevic, D.V., Arndt, F.

    ISSN: 0018-9480
    Published: New York, NY IEEE 01.12.1992
    “…A finite-difference-time-domain (FDTD) algorithm for the efficient full-wave analysis of a comprehensive class of millimeter-wave and optical waveguide structures is described…”
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    Journal Article