Modal Analysis of 2-D Material-Based Plasmonic Waveguides by Mixed Spectral Element Method With Equivalent Boundary Condition

2020 ◽  
Vol 38 (14) ◽  
pp. 3677-3686 ◽  
Author(s):  
Xiaoyu Lin ◽  
Guoxiong Cai ◽  
Huanyang Chen ◽  
Na Liu ◽  
Qing Huo Liu
Keyword(s):  
Boundary Condition ◽  
Modal Analysis ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Plasmonic Waveguides ◽  
Equivalent Boundary ◽  
Element Method

scholarly journals The Efficient Hybrid Mixed Spectral Element Method With Surface Current Boundary Condition for Modeling 2.5-D Fractures and Faults

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 135339-135346
Author(s):  
Xuanying Hou ◽  
Na Liu ◽  
Ke Chen ◽  
Mingwei Zhuang ◽  
Qing Huo Liu
Keyword(s):  
Boundary Condition ◽  
Spectral Element Method ◽  
Surface Current ◽  
Spectral Element ◽  
Element Method

An accurate triangular spectral element method-based numerical simulation for acoustic problems in complex geometries

2020 ◽  
Vol 19 (3-5) ◽  
pp. 158-190
Author(s):  
Ximeng Ye ◽  
Guoliang Qin ◽  
Yazhou Wang
Keyword(s):  
Boundary Condition ◽  
Present Method ◽  
Spectral Element Method ◽  
Complex Geometry ◽  
Solid Wall ◽  
Helmholtz Resonator ◽  
Spectral Element ◽  
Benchmark Problems ◽  
Complex Geometries ◽  
Element Method

An accurate triangular spectral element method (TSEM) is developed to simulate acoustic problems in complex computational domains. With Fekete points and Koornwinder-Dubiner polynomials introduced, triangular elements are used in the present method to substitute quadrilateral elements in traditional spectral element method (SEM). The efficiency of discretizing complex geometry is enhanced while high accuracy of SEM is remained. The weak form of the second-order governing equations derived from the linearized Euler equations (LEEs) are solved, and perfectly matched layer (PML) boundary condition is implemented. Three benchmark problems with analytical solutions are employed to testify the exponential convergence rate, convenient implementation of solid wall boundary condition and capable discretization in complex geometries of the present method respectively. An application on Helmholtz resonator (HR) is presented as well to demonstrate the possibility of using the present method in practical engineering. The numerical resonance frequency of HR reaches an excellent agreement with the theoretical result.

Dynamic Analysis of a Composite Structure under Random Excitation Based on the Spectral Element Method

2019 ◽  
Vol 20 (2) ◽  
pp. 179-190
Author(s):  
M. R. Machado ◽  
L. Khalij ◽  
A. T. Fabro
Keyword(s):  
Boundary Condition ◽  
Dynamic Analysis ◽  
Composite Structure ◽  
Spectral Element Method ◽  
Weight Ratio ◽  
Spectral Element ◽  
Random Excitation ◽  
Structural Dynamic ◽  
High Level ◽  
Element Method

AbstractThe application of the composite materials in the aeronautical and aerospace industries has been increasing over the last several decades. Compared to conventional metallic materials, they present better strength to weight and stiffness to weight ratio. However, they can also present a high level of uncertainty, mainly associated with the manufacturing processes. Besides the uncertainty in the composite material parameters, which can play a role in the structural dynamic response, randomness can also be associated with boundary condition and external excitation sources. This paper treats the dynamic analysis of a composite beam under random excitation and uncertainties in the boundary condition. The beam is modelled by the spectral element method, a wave propagation technique. Some numerical examples are used to study the influence of random source on the dynamic behaviour of the composite structure.

Dynamic strain analysis using spectral element method

2019 ◽  
Author(s):  
THIAGO SILVA ◽  
Marcela Machado ◽  
Leila Khalij
Keyword(s):  
Spectral Element Method ◽  
Strain Analysis ◽  
Spectral Element ◽  
Dynamic Strain ◽  
Element Method
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