Finite Element Flow Analysis

Analysis of Total Variation Flow and Its Finite Element Approximations∗

We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positi...

Finite Element Analysis of Fluid Flow Using Variational Approach

Mixed finite element methods for viscoelastic flow analysis: A review

The progress made during the past decade in the application of mixed finite element methods to solve viscoelastic flow problems using differential constitutive equations is reviewed. The algorithmic developments are discussed in detail. Starting with the classical mixed formulation, the elastic viscous stress splitting (EVSS) method as well as the related discrete EVSS and the so-called EVSS-G ...

Finite Element Stochastic Analysis

Numerical models can be valuable tools in the prediction of seepage. The results can often be misleading if proper variational analysis is not performed. Measurement of the soil-water characteristic curve (SWCC) or saturated and unsaturated hydraulic conductivity information is often neglected or minimized. The modeller is therefore forced to develop a seepage model based on estimated soil prop...

Finite Element Analysis of Functionally Graded‎ ‎Piezoelectric Beams

In this paper‎, ‎the static bending‎, ‎free vibration‎, ‎and dynamic response of functionally graded‎ ‎piezoelectric beams have been carried out by finite element method‎‎under different sets of mechanical‎, ‎thermal‎, ‎and electrical‎ ‎loadings‎. ‎The beam with functionally graded piezoelectric material‎ ‎(FGPM) is assumed to be graded across the thickness with a simple‎ ‎power law distributio...