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The ultraspherical spectral element method [PDF]
Journal of Computational Physics, 2021 We introduce a novel spectral element method based on the ultraspherical spectral method and the hierarchical Poincaré-Steklov scheme for solving second-order linear partial differential equations on polygonal domains with unstructured quadrilateral or triangular meshes.
Daniel Fortunato +2 more
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Photonic Nanojet Analysis by Spectral Element Method
IEEE Photonics Journal, 2014 Although it is known that the spectral element method (SEM) has both high accuracy and a lower computational cost when compared with finite-element or finite-difference methods, the SEM is not widely utilized in the modeling of boundary value problems in
I. Mahariq +3 more
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An efficient spectral element method for two-dimensional magnetotelluric modeling
Frontiers in Earth Science, 2023 We introduce a new efficient spectral element approach to solve the two-dimensional magnetotelluric forward problem based on Gauss–Lobatto–Legendre polynomials.
Xiaozhong Tong +4 more
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Investigation and Analysis of Acoustojets by Spectral Element Method
Mathematics, 2022 In this study, acoustic wave scattering in a homogeneous media by an obstacle is examined in the case of plane wave excitation and the formation of acoustic jets is explored.
Ibrahim Mahariq +5 more
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J, 2023 This study aims to improve the computational efficiency of the frequency domain analysis of medium-frequency transformers (MFTs) with the presence of large clearance distances and fine foil windings.
Siamak Pourkeivannour +4 more
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Advances in Aerodynamics, 2022 In this paper, we propose a spectral vanishing viscosity method for the triangular spectral element computation of high Reynolds number incompressible flows.
Lizhen Chen, Tao Tang, Chuanju Xu
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Splitting spectral element method for fractional reaction-diffusion equations
Journal of Algorithms & Computational Technology, 2020 In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
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Legendre spectral element method for solving Volterra-integro differential equations
Results in Applied Mathematics, 2020 In this article, we present a spectral element method for numerical solution of linear Volterra integro-differential equations with boundary conditions. First, we obtain discrete form of the problem using the spectral element method.
Mahmoud Lotfi, Amjad Alipanah
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Design of 3D SAW Filters Based on the Spectral Element Method
IEEE Access, 2023 Surface acoustic wave (SAW) devices are key components in 5G communication systems, and the design of SAW filters with high frequency, high performance and high reliability is a necessary and challenging task. In this work, SAW resonators with $LiNbO_{3}
Yiwen Yao +4 more
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Legendre spectral element method for solving sine-Gordon equation
Advances in Difference Equations, 2019 In this paper, we study the Legendre spectral element method for solving the sine-Gordon equation in one dimension. Firstly, we discretize the equation by Legendre spectral element in space and then discretize the time by the second-order leap-frog ...
Mahmoud Lotfi, Amjad Alipanah
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