High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112722 ◽

2020 ◽

Vol 372 ◽

pp. 112722

Author(s):

Kareem T. Elgindy ◽

Hareth M. Refat

Keyword(s):

Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Singularly Perturbed ◽

Optimization Strategy ◽

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Simulation of underresolved turbulent flows by adaptive filtering using the high order discontinuous Galerkin spectral element method

Journal of Computational Physics ◽

10.1016/j.jcp.2015.11.064 ◽

2016 ◽

Vol 313 ◽

pp. 1-12 ◽

Author(s):

David Flad ◽

Andrea Beck ◽

Claus-Dieter Munz

Keyword(s):

Turbulent Flows ◽

Discontinuous Galerkin ◽

Adaptive Filtering ◽

Spectral Element Method ◽

Spectral Element ◽

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High-order spectral element method (SPEM) for acoustic wave propagation

53rd EAEG Meeting ◽

10.3997/2214-4609.201410937 ◽

1991 ◽

Author(s):

G. Seriani ◽

E. Priolo

Keyword(s):

Wave Propagation ◽

Acoustic Wave ◽

Spectral Element Method ◽

Spectral Element ◽

Acoustic Wave Propagation ◽

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High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems

Optimization ◽

10.1080/02331934.2017.1298597 ◽

2017 ◽

Vol 66 (5) ◽

pp. 811-836 ◽

Author(s):

Kareem T. Elgindy

Keyword(s):

Optimal Control ◽

Spectral Element Method ◽

Optimal Control Problems ◽

Spectral Element ◽

Control Problems ◽

Linear Optimal Control ◽

Linear Optimal Control Problems ◽

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Evaluation of high-order modes and damage effects of multi-crack beams using enhanced spectral element method

Journal of Vibration and Control ◽

10.1177/1077546317747502 ◽

2018 ◽

pp. 107754631774750

Author(s):

Z M Xu ◽

M S Cao ◽

R B Bai ◽

H Xu ◽

W Xu

Keyword(s):

Spectral Element Method ◽

Spectral Element ◽

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A laguerre-legendre spectral-element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2005.05.010 ◽

2005 ◽

Vol 41 (10) ◽

pp. 1171-1192 ◽

Author(s):

J. Valenciano ◽

M.A.J. Chaplain

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Tumour Angiogenesis ◽

Partial Differential ◽

Infinite Domains ◽

Angiogenesis Factors ◽

Legendre Spectral Element Method ◽

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High‐order spectral element method for acoustic wave modeling

10.1190/1.1888989 ◽

1991 ◽

Author(s):

Geza Seriani ◽

Enrico Priolo

Keyword(s):

Acoustic Wave ◽

Spectral Element Method ◽

Spectral Element ◽

Wave Modeling ◽

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Spectral element method with geometric mesh for two-sided fractional differential equations

Advances in Computational Mathematics ◽

10.1007/s10444-017-9561-9 ◽

2017 ◽

Vol 44 (3) ◽

pp. 745-771 ◽

Author(s):

Zhiping Mao ◽

Jie Shen

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Geometric Mesh ◽

Fractional Differential ◽

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Stability of delay integro-differential equations using a spectral element method

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.06.009 ◽

2011 ◽

Vol 54 (9-10) ◽

pp. 2493-2503 ◽

Author(s):

Firas A. Khasawneh ◽

Brian P. Mann

Keyword(s):

Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

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Legendre spectral element method for solving Volterra-integro differential equations

Results in Applied Mathematics ◽

10.1016/j.rinam.2020.100116 ◽

2020 ◽

Vol 7 ◽

pp. 100116

Author(s):

Mahmoud Lotfi ◽

Amjad Alipanah

Keyword(s):

Differential Equations ◽

Spectral Element Method ◽

Spectral Element ◽

Legendre Spectral Element Method ◽

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Aeroacoustic Tonal Noise Generation Analysis on a Simplified Side-View Mirror Using a High Order Discontinuous Galerkin Spectral Element Method

10.4271/2016-01-1803 ◽

2016 ◽

Author(s):

Hannes Frank ◽

Claus-Dieter Munz

Keyword(s):

Discontinuous Galerkin ◽

Spectral Element Method ◽

Spectral Element ◽

Noise Generation ◽

Side View ◽

Tonal Noise ◽

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