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A Review: Applications of the Spectral Finite Element Method
The Spectral Finite Element Technique (SFEM) has Several Applications in the Sciences, Engineering, and Mathematics, which will be Covered in this...
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Fractional Spectral and Fractional Finite Element Methods: A Comprehensive Review and Future Prospects
In this article, we will discuss the applications of the Spectral element method (SEM) and Finite element Method (FEM) for fractional calculusThe...
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A Damage Detection Procedure Using Spectral Element Method
Damage detection often requires non-destructive testing. Among various damage detection techniques those that identify the damage based on changes in...
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Accuracy assessment of discontinuous Galerkin spectral element method in simulating supersonic free jets
The study performs large eddy simulations of supersonic free jet flows using the discontinuous Galerkin spectral element method (DGSEM). The main...
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A spectral finite element Reissner–Mindlin shell formulation with NURBS-based geometry definition
A curved non-isoparametric Reissner–Mindlin shell element is developed for analyzing thin-walled structures. The standard kinematic description of...
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Dynamic Analysis of Coupled Axial-Bending Wave Propagation in a Cracked Timoshenko Beam Using Spectral Finite-Element Method
PurposeThe coupling between axial, transverse shear, and bending deformations is significant for beam-like lattice structures in structural mechanics...
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Nonconforming Spectral Element Method for Oseen Equations and Navier-Stokes Equations
In this paper, we discuss the performance of a least-squares-based spectral element solver for Oseen equations on two-dimensional curvilinear domains...
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Wave propagation analysis of Micropolar-Cosserat periodic composite panels: spectral element formulation
This research proposes the analytical model of wave propagation through a Micropolar-Cosserat (MC) periodic composite panel (PCP). A periodic panel...
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Structural Damage Identification Using Spectral Finite Element Modeling for Extended Timoshenko Beams
This paper introduces a finite spectral element method for a single edge notch cracked extended Timoshenko beam for wave propagation analysis and...
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Modeling Elastic Wave Propagation in Fiber-Reinforced Media Using Lagrange Spectral Element Method
In the present study, spectral element method is applied for the simulation of two-dimensional wave propagation in linear elastic fiber-reinforced...
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An improved spectral amplitude modulation method for rolling element bearing fault diagnosis
The fault signatures in the real bearing vibration signals are relatively weak and are usually buried by strong background noise due to the influence...
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Application of Spectral Stochastic Finite Element via Galerkin Method in Beam Bending Theories
In stochastic structural mechanics it is possible to associate uncertainties with material properties, geometry, and external loading, whereas...
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Efficient SVV stabilized triangular spectral element methods for incompressible flows of high Reynolds numbers
In this paper, we propose a spectral vanishing viscosity method for the triangular spectral element computation of high Reynolds number...
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Rolling Element Bearing Fault Diagnosis Using a Kurtogram and Spectral Kurtosis Analysis
A delay or shutdown in production can cost time and money in this rapidly industrializing age. It is crucial to have a system that can notify you of...
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Applying the spectral stochastic finite element method in multiple-random field RC structures
This paper uses the spectral stochastic finite element method (SSFEM) for analyzing reinforced concrete (RC) beam/slab problems. In doing so, it...
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Spectral Elements
Earlier, in Chap. 2 , Sect. 2.4 , we discussed the possibility of...
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The Spectral Element Method
The approach developed in this chapter for waves in connected structures is similar in style to that of the finite element method but has the very...
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Time-domain spectral finite element based on third-order theory for efficient modelling of guided wave propagation in beams and panels
We develop a computationally efficient time-domain spectral finite element (SFE) based on Levinson–Bickford–Reddy’s third-order theory to accurately...
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A Finite Element Approach for Wave Propagation in Elastic Solids
This book focuses on wave propagation phenomena in elastic solids modelled by the use of the finite element method. Although the latter is a...
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Time domain spectral element-based wave finite element method for periodic structures
In this work, a time domain spectral element-based wave finite element method is proposed to analyze periodic structures. Time domain spectral...
