Search Results - Time two-mesh finite element 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 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
  3. 3

    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
  4. 4

    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
  5. 5

    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
  6. 6

    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
  7. 7

    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
  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

    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
  10. 10

    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
  11. 11

    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
  12. 12

    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
  13. 13

    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
  14. 14

    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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    Journal Article
  15. 15

    Absolute Reconstructions Using Rotational Electrical Impedance Tomography for Breast Cancer Imaging by Murphy, Ethan K., Mahara, Aditya, Halter, Ryan J.

    ISSN: 0278-0062, 1558-254X
    Published: United States IEEE 01.04.2017
    Published in IEEE transactions on medical imaging (01.04.2017)
    “…A rotational Electrical Impedance Tomography (rEIT) methodology is described and shown to produce spatially accurate absolute reconstructions with improved…”
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    Journal Article
  16. 16

    Nonlinear dynamic behavior of mechanical torque-limiter coupled with two stage helical gear by Guerine, Ahmed, El Hami, Abdelkhalak

    ISSN: 1678-5878, 1806-3691
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022
    “… (aerodynamics torque and force) and two internal excitations (two mesh stiffness fluctuations…”
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    Journal Article
  17. 17

    Convergence Check Phase-Field Scheme for Modelling of Brittle and Ductile Fractures by Lesičar, Tomislav, Polančec, Tomislav, Tonković, Zdenko

    ISSN: 2076-3417, 2076-3417
    Published: Basel MDPI AG 01.06.2023
    Published in Applied sciences (01.06.2023)
    “… The algorithm consists of two mesh layers (displacement and phase field) and a single special-purpose, user-defined finite element, which controls global convergence of the coupled problem and passing of the solution variables between mesh layers…”
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    Journal Article
  18. 18

    Adaptive phase field analysis with dual hierarchical meshes for brittle fracture by Goswami, Somdatta, Anitescu, Cosmin, Rabczuk, Timon

    ISSN: 0013-7944, 1873-7315
    Published: New York Elsevier Ltd 01.09.2019
    Published in Engineering fracture mechanics (01.09.2019)
    “… As the name suggests, the proposed scheme is solved using two meshes with different characteristic element sizes (h…”
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    Journal Article
  19. 19

    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
  20. 20

    3-D time-domain spectral inversion of resistivity and full-decay induced polarization data—full solution of Poisson's equation and modelling of the current waveform by Madsen, Line Meldgaard, Fiandaca, Gianluca, Auken, Esben

    ISSN: 0956-540X, 1365-246X
    Published: Oxford University Press 01.12.2020
    Published in Geophysical journal international (01.12.2020)
    “…SUMMARY We present a new algorithm for 3-D forward modelling and spectral inversion of resistivity and time-domain full-decay induced polarization (IP) data…”
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    Journal Article