Results 1 to 10 of about 1,846,403 (331)
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.
Fortunato, Daniel +2 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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Spectral element method for parabolic interface problems
Computer Methods in Applied Mechanics and Engineering, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Arbaz (author) +2 more
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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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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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Accuracy of spectral element method for wave, parabolic and Schrödinger equations [PDF]
SIAM Journal on Numerical Analysis, 2021 The spectral element method constructed by the $Q^k$ ($k\geq 2$) continuous finite element method with $(k+1)$-point Gauss-Lobatto quadrature on rectangular meshes is a popular high order scheme for solving wave equations in various applications.
Hao Li, D. Appelö, Xiangxiong Zhang
semanticscholar +1 more source
Geophysical Journal International, 2022 For forward modelling of realistic 3-D land-based controlled-source electromagnetic problems, we develop a parallel spectral element approach, blending the flexibility and versatility of the finite element method in using unstructured grids with the ...
M. Weiss, T. Kalscheuer, Z. Ren
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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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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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Frontiers in Earth Science, 2022 Precise estimates of earthquake source properties are crucial for understanding earthquake processes and assessing seismic hazards. Seismic waveforms can be affected not only by individual event properties, but from the Earth’s interior heterogeneity ...
Jung-Hun Song +4 more
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