Finite Element Simulations of Magnetic Liquids with Free Boundaries

Convergence of the discrete free boundaries for finite element approximations

Performance Boundaries for Interactive Finite Element Applications

This paper presents work characterizing finite element performance boundaries within which live, interactive finite element modeling is feasible on current and emerging systems. These results are based on wide-ranging tests performed using a prototype finite element program implemented specifically for this study, thereby enabling the unified investigation of numerous direct and iterative solve...

Numerical simulations of magnetic resonance elastography using finite element analysis with a linear heterogeneous viscoelastic model

Abstract Magnetic resonance elastography (MRE) is a technique to identify the viscoelastic moduli of biological tissues by solving the inverse problem from the displacement field of viscoelastic wave propagation in a tissue measured by MRI. Because finite element analysis (FEA) of MRE evaluates not only the viscoelastic model for a tissue but also the efficiency of the inversion algorithm, we d...

A note on the approximation of free boundaries by finite element methods

Under the sole assumption of non-degeneracy of the continuous solution and the knowledge of an U-error estimate, we prove rates of convergence in measure{and in distance) for the approximate fiee boundanes, they are defined as suitable level sets, hence easy to compute The results at e apphed to the primai and mixed formulation of the obstacle problem and to singular parabohc problems {the two-...

Computer Simulations Combining Finite Difference and Finite Element Methods: Solute Drag on Migrating Grain Boundaries in Three-Dimension

The current study aims to improve our fundamental understanding of solute segregation and solute drag on migrating grain boundaries (GB) in three dimensions. Computer simulation combines finite difference and finite element methods. An exemplary case study is reported, in which a spherical grain is embedded inside a cubic grain and shrinks as a result of motion by curvature, as a preliminary to...