3D time-domain spectral elements for stress waves modelling

Structural health monitoring by means of elastic wave propagation

“…Spectral Element Method developed by IFFM research group overcame those problems [3,6]. Additionally authors propose spectral elements for electromechanical coupling [7] which is important in case of piezoelectric transducer modelling. Some exemplary results for guided wave propagation in 2 mm thick aluminium alloy halfpipe are presented in figure 4.…”

Wave propagation numerical models in damage detection based on the time domain spectral element method

“…Element by element approach along with central difference scheme has been applied in which characteristic spectral element matrices are calculated at each time step [29]. A multiplication of stiffness matrix of an element by actual displacement vector is most costly operation.…”

“…The aim of this paper is to extend spectral element approach presented in [29] to curvilinear coordinate system. Higher order 3D spectral element, which assures fast convergence of mechanical displacement field as well as electric potential field has been developed.…”

Reducing spurious oscillations in discontinuous wave propagation simulation using high-order finite elements

“…The dispersion is a result of using piecewise shape functions in the standard FEM [5][6][7]. Among several approaches to reduce the dispersion error, one possibility is to modify the FEM by a change of the quadrature rule, thereby reducing FEM dispersion; another approach is to change the shape functions as in the spectral element method (SEM) [8][9][10][11] or the iso-geometric analysis (IGA) [12]. The degree of inter-element continuity of shape functions used in IGA can be greater than zero, at least in subdomains.…”