This article presents an analysis of free vibration of elastically supported Timoshenko beams by using the spectral element method. The governing partial differential equation is elaborated to formulate the spectral stiffness matrix. Effectively, the non classical end boundary conditions of the beam are the primordial task to calibrate the phenomenon of the Timoshenko beam-soil foundation inter...

Considering the incomplete contact between adjacent layers of crossanisotropic multilayered half-space media, an algorithm was derived based on spectral element method (SEM) to determine dynamic response at any point medium when axisymmetric harmonic load is applied. The used two equivalent parameters simulate relationship discontinuity displacement and stress. SEM employed for summation in int...

Higher order and spectral methods have been used with success for elliptic and parabolic initial and boundary value problems with smooth solutions. On the other hand, higher order methods have been applied to hyperbolic problems with less success, as higher order approximations of discontinuous solutions suffer from the Gibbs phenomenon. We extend past work and show that spectral methods yield ...

The development of NekRS, a GPU-oriented thermal-fluids simulation code based on the spectral element method (SEM) is described. For performance portability, open concurrent compute abstraction and leverages scalable developments in SEM Nek5000 libParanumal, which library high-performance kernels for high-order discretizations PDE-based miniapps. Critical sections Navier–Stokes time advancement...

Segmentation methods, combining spectral and spatial information, are essential for analysis of multi-spectral images. In this article, we propose such a method based on statistical pattern recognition algorithms and a combined classifier approach. A set of experiments is presented with multi-spectral images of detergent laundry powders acquired by imaging cross-sections with scanning electron ...

S U M M A R Y We compare finite-frequency phase and amplitude sensitivity kernels calculated based on frequency-domain surface wave mode summation and a time-domain adjoint method. The adjoint calculations involve a forward wavefield generated by an earthquake and an adjoint wavefield generated at a seismic receiver. We determine adjoint sources corresponding to frequency-dependent phase and am...

A spectral-element method for solving the scattering problem of timeharmonic sound waves in a homogeneous compressible fluid by an obstacle is developed in this paper. The method is based on a boundary perturbation technique coupled with an efficient spectral-element solver. Ample numerical results are presented to show the accuracy and stability of the method.