Abstract. Local energy error estimates for the finite element method for elliptic problems were originally proved in 1974 by Nitsche and Schatz. These estimates show that the loca...
High quality meshes are crucial for the solution of partial differential equations (PDEs) via the finite element method (or other PDE solvers). The accuracy of the PDE solution,...
—In this paper a method for the objective assessment of burn scars is proposed. The quantitative measures developed in this research provide an objective way to calculate elastic...
Leonid V. Tsap, Dmitry B. Goldgof, Sudeep Sarkar, ...
We describe a new method for computing the displacement vector field in time sequences of 2D or 3D images (4D data). The method is energy-minimizing on the space of correspondence...
The paper deals with a structural optimization of composite materials with periodic microstructures invoking an elasto-plasticity model with the von Mises yield criterion. Closest...
This paper describes and exercises a new design paradigm for cast components. The methodology integrates foundry process simulation, non-destructive evaluation (nde), stress analys...
Many of the current radiosity algorithms create a piecewise constant approximation to the actual radiosity. Through interpolation and extrapolation, a continuous solution is obtai...
The finite element method is widely used for solving various problems in geotechnical engineering practice. The input parameters required for the calculations are generally impre...
Abstract. We introduce a new, efficient approach for modelling the deformation of organs following surgical cuts, retractions, and resections. It uses the extended finite element ...
Lara M. Vigneron, Jacques G. Verly, Simon K. Warfi...
Abstract. We describe a consistent splitting approach to the pressurestabilized Petrov-Galerkin finite element method for incompressible flow. The splitting leads to (almost) exp...