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Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-017-9569-1
Abstract: We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) nodal values on a spherical surface. Built upon suitable analytic formulas…
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Keywords:
vector;
spherical harmonic;
spherical vector;
vector spherical ... See more keywords
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Published in 2020 at "Natural Hazards"
DOI: 10.1007/s11069-020-04074-w
Abstract: Seismic hazard analysis is carried out in this study by estimating ground motion for hypothetical earthquakes in the area of Muzaffarabad, Pakistan, with the MT solution of the 2005 Kashmir earthquake. The earth’s topography influences…
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Keywords:
topography;
seismic hazard;
element method;
spectral element ... See more keywords
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Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.08.007
Abstract: Abstract In this paper, by using proper orthogonal decomposition (POD) to reduce the order of the coefficient vector of the classical Crank–Nicolson finite spectral element (CCNFSE) method for the two-dimensional (2D) non-stationary Navier-Stokes equations about…
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Keywords:
order;
finite spectral;
method;
crank nicolson ... See more keywords
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Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.03.011
Abstract: Abstract In this paper, an h ∕ p spectral element method with least-square formulation for parabolic interface problem will be presented. The regularity result of the parabolic interface problem is proven for non-homogeneous interface data.…
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Keywords:
element method;
interface;
spectral element;
parabolic interface ... See more keywords
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Published in 2017 at "Composite Structures"
DOI: 10.1016/j.compstruct.2017.03.050
Abstract: Abstract Various solution techniques have been developed in the last decades for accurate prediction of the dynamic responses of a laminated composite structure. The spectral element method (SEM) is well known as an exact solution…
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Keywords:
composite plate;
laminated composite;
spectral element;
element model ... See more keywords
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Published in 2019 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2019.07.010
Abstract: Abstract This paper presents a novel numerical framework based on the accurate spectral element method (SEM) for electro-thermo-hydrodynamics (ETHD), in which the coupled electric, flow, and heat fields are solved simultaneously. The electric field potential…
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Keywords:
heat;
spectral element;
method;
temperature ... See more keywords
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Published in 2019 at "Mechanics Research Communications"
DOI: 10.1016/j.mechrescom.2019.04.014
Abstract: Abstract Generally, dynamic and fatigue tests require complicated and time-consuming simulation to achieve good performance. However, to estimate a structure’s fatigue lifetime during a vibrational test, when the frequency response function is required, can be…
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Keywords:
spectral element;
electrodynamic shaker;
shaker spectral;
model ... See more keywords
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Published in 2020 at "Nuclear Engineering and Design"
DOI: 10.1016/j.nucengdes.2019.110422
Abstract: Abstract The spectral element code Nek5000 is an open-source, higher-order computational fluid dynamics code developed at Argonne National Laboratory. It is designed to solve incompressible Navier-Stokes equations, but it also has a low-Mach-number approximation feature…
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Keywords:
mesh;
pure;
tet hex;
geometry ... See more keywords
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Published in 2021 at "Journal of Advances in Modeling Earth Systems"
DOI: 10.1029/2020ms002419
Abstract: Previous studies have shown that atmospheric models with a spectral element grid can benefit from putting physics calculations on a relatively coarse finite volume grid. Here we demonstrate an alternative high‐order, element‐based mapping approach used…
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Keywords:
separating physics;
physics;
spectral element;
physics dynamics ... See more keywords
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Published in 2021 at "Geophysical Journal International"
DOI: 10.1093/gji/ggab226
Abstract: We formulate and implement a spectral element method (SEM) to simulate elastic wave propagation in an arbitrary anisotropic background with discrete anisotropic fractures. The approach uses a general linear-slip condition to incorporate the anisotropic fractures…
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Keywords:
anisotropic;
anisotropic fractures;
spectral element;
fracture ... See more keywords
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Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3010507
Abstract: Fast electromagnetic (EM) simulation of thin layers, such as geological fractures and faults, is still a challenge since the local mesh refinement near such structures dramatically increases the number of degrees of freedom (DoFs), thus…
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Keywords:
element method;
hybrid mixed;
method;
spectral element ... See more keywords