A macro‐element strategy based upon spectral finite elements and mortar elements for transient wave propagation modeling. Application to ultrasonic testing of laminate composite materials

Wavelet Spectral Finite Elements for Wave Propagation in Composite Plates

The principal objectives of the research are to develop and experimentally validate a predictive modeling capability for simulation of wave propagation in 2-D composite plates. During this reporting period, the Wavelet Spectral Finite Element (WSFE) model for composite plates (developed by Prof. Gopalakrishnan at IISc Bangalore) was implemented at Clarkson. Composite plates were fabricated usin...

Transient implicit wave propagation dynamics with overlapping finite elements

We present novel overlapping finite elements used with the Bathe time integration method to solve transient wave propagation problems. The solution scheme shows two important properties that have been difficult to achieve in the numerical solution of general wave propagations: monotonic convergence of calculated solutions with decreasing time step size and a solution accuracy almost independent...

Multigrid Methods for Mortar Finite Elements

The Feti Method for Mortar Finite Elements

Analysis of High-Order Finite Elements for Convected Wave Propagation

In this paper we examine the performance of high-order finite element methods (FEM) for aeroacoustic propagation, based on the convected Helmholtz equation. A methodology is presented to measure the dispersion and amplitude errors of the p-FEM, including non-interpolating shape functions, such as ‘bubble’ shape functions. A series of simple test cases are also presented to support the results o...