Keywords: Error estimate
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Journal Articles

A reduced-order Jacobi spectral collocation method for solving the space-fractional FitzHugh–Nagumo models with application in myocardium

Mostafa Abbaszadeh, AliReza Bagheri Salec, Shurooq Kamel Abd Al-Khafaji
Journal: Engineering Computations
Engineering Computations (2023) 40 (9-10): 2980–3008.
https://doi.org/10.1108/EC-06-2023-0254
Published: 14 November 2023
... Mostafa Abbaszadeh can be contacted at: m.abbaszadeh@aut.ac.ir 04 06 2023 28 09 2023 08 10 2023 Fractional calculus FitzHugh–Nagumo models Proper orthogonal decomposition method Spectral method Error estimate 65M12 65N12 65N30 65N40 Turing systems appear...
View article titled, A reduced-order Jacobi spectral collocation method for solving the space-fractional FitzHugh–Nagumo models with application in myocardium
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Journal Articles

An improved local error estimate in adaptive finite element analysis based on element energy projection technique

Haohan Sun, Si Yuan
Journal: Engineering Computations
Engineering Computations (2023) 40 (1): 246–264.
https://doi.org/10.1108/EC-02-2022-0073
Published: 03 February 2023
...Haohan Sun; Si Yuan Purpose An improved adaptive finite element analysis based on local error estimate is proposed via the element energy projection (EEP) technique. This paper aims to discuss the aforementioned idea. Design/methodology/approach The computational region...
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Journal Articles

An interpolating meshless method for the numerical simulation of the time-fractional diffusion equations with error estimates

Jufeng Wang, Fengxin Sun
Journal: Engineering Computations
Engineering Computations (2020) 37 (2): 730–752.
https://doi.org/10.1108/EC-03-2019-0117
Published: 19 August 2019
... at: wjf@nit.zju.edu.cn 26 03 2019 01 06 2019 05 07 2019 08 07 2019 © Emerald Publishing Limited 2019 Emerald Publishing Limited Licensed re-use rights only Fractional derivative Error estimate Time-fractional diffusion equation Interpolating element-free Galerkin...
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Journal Articles

Adaptive finite element analysis with local mesh refinement based on a posteriori error estimate of element energy projection technique

Yiyi Dong, Si Yuan, Qinyan Xing
Journal: Engineering Computations
Engineering Computations (2019) 36 (6): 2010–2033.
https://doi.org/10.1108/EC-11-2018-0523
Published: 18 June 2019
... mostly on a single element. Accordingly, a posteriori error estimate in maximum norm was established and an EEP-based adaptive FE strategy of h-version with local mesh refinement was developed. Findings Representative numerical examples, including stress concentration and singularity...
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