MULTISCALE COMPOSITE 3D FINITE ELEMENT FOR LUNG MECHANICS

3D Finite Element Analysis for Mechanics of Soil-Tool Interaction

This paper is part of a study to develop robots for farming. As such power requirement to operate equipment attach to such robots become an important factor. Soil-tool interaction plays major role in power consumption, thus predicting accurately the forces which act on the blade during the farming is very important for optimal designing of farm equipment. In this paper, a finite element investi...

Oversampling for the Multiscale Finite Element Method

This paper reviews standard oversampling strategies as performed in the multiscale finite element method (MsFEM). Common to those approaches is that the oversampling is performed in the full space restricted to a patch including coarse finite element functions. We suggest, by contrast, performing local computations with the additional constraint that trial and test functions be linear independe...

Multiscale Finite Element Methods for Elliptic Equations

Here and throughout this chapter, the Einstein convention for repeated indices are assumed. The problem (9.1) a model multiscale problem which arises in the modeling of composite materials and the flow transport in heterogeneous porous media. The main difficulty in solving it by standard finite element method is that when ε is small, the underlying finite element mesh h must be much less than ε...

A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media

A direct numerical solution of the multiple scale problems is difficult even with modern supercomputers. The In this paper, we study a multiscale finite element method for solving a class of elliptic problems arising from composite materials major difficulty of direct solutions is the scale of computaand flows in porous media, which contain many spatial scales. The tion. For groundwater simulat...

Nonlinear Continuum Mechanics for Finite Element Analysis