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A novel electromechanical spectral element method for piezoelectric energy harvester plates

Journal of Sound and Vibration, 2021
This paper presents a novel spectral element method to predict the electromechanical dynamics of panels having arbitrary geometries and multiple surface-bonded piezo-patches.
S. Alan, Bekir Bediz
semanticscholar   +1 more source

Nonlinear eigenvalue analysis for spectral element method

, 2021
Spectral element method (SEM) is a robust and efficient mathematical technique for dynamic analysis of structures in frequency domain. Unlike finite element method (FEM), in SEM, the dynamic stiffness matrix forms a nonlinear eigenvalue problem (NLEP) to
A. Mukherjee, S. Sarkar, A. Banerjee
semanticscholar   +1 more source

Toward Exascale: Overview of Large Eddy Simulations and Direct Numerical Simulations of Nuclear Reactor Flows with the Spectral Element Method in Nek5000

, 2020
At the beginning of the last decade, Petascale supercomputers (i.e., computers capable of more than 1 petaFLOP) emerged. Now, at the dawn of exascale supercomputing, we provide a review of recent landmark simulations of portions of reactor components ...
E. Merzari   +13 more
semanticscholar   +1 more source

Numerical and theoretical discussions for solving nonlinear generalized Benjamin–Bona–Mahony–Burgers equation based on the Legendre spectral element method

Numerical Methods for Partial Differential Equations, 2020
This article is devoted to solving numerically the nonlinear generalized Benjamin–Bona–Mahony–Burgers (GBBMB) equation that has several applications in physics and applied sciences.
M. Dehghan   +2 more
semanticscholar   +1 more source

Application of spectral element method for solving Sobolev equations with error estimation

Applied Numerical Mathematics, 2020
This paper is dedicated to numerically solving the Sobolev equations that have several applications in physics and mechanical engineering. First, the temporal derivative is discretized by the Crank-Nicolson finite difference technique to obtain a semi ...
M. Dehghan   +2 more
semanticscholar   +1 more source

Parallel spectral element method for guided wave based structural health monitoring

Smart materials and structures (Print), 2020
Parallel implementation of the spectral element method is developed in which flat shell spectral elements are utilized for spatial domain representation. The implementation is realised by using Matlab Parallel Computing Toolbox and optimized for Graphics
P. Kudela, Jochen Moll, P. Fiborek
semanticscholar   +1 more source

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