A new nite element method for elliptic problems with locally periodic microstructure of length " > 0 is developed and analyzed. It is shown that the method converges, as " ! 0, to the solution of the homogenized problem with optimal order in " and exponentially in the number of degrees of freedom independent of " > 0. The computational work of the method is bounded independently of ". Numerical...

Graphene sheets are combined of Honeycombs lattice carbon-carbon bonds which have high natural frequencies, high strength, and high conductivity. Due to important applications of the graphene sheets particularly at higher frequencies, the study of their dynamic behavior is important in this frequency range. From Molecular Dynamics (MD) point of view as the dimensions of graphene sheet incline, ...

-EMAP5 is a numerical software package designed to model electromagnetic problems. It employs the finite element method (FEM) to analyze a volume, and employs the method of moments (MoM) to analyze the region exterior to the FEM volume. The two methods are coupled by enforcing the continuity of the tangential fields on the interface. Dielectrics, lossy dielectrics and metal objects can be model...

To assess and optimise the effect of multi-layered trim for the reduction of noise and vibration transmission, design engineers greatly depend on CAE tools. Mostly, these are based on element based simulation techniques such as the Finite Element Method (FEM). In practise, however, these methods are limited to low-frequency simulations due to the strongly increasing computational cost with freq...

CEMTool is a command style design and analyzing package for scientific and technological algorithm and a matrix based computation language. In this paper, we present new 2D & 3D finite element method (FEM) packages for CEMTool. We discuss the detailed structures and the important features of pre-processor, solver, and post-processor of CEMTool 2D & 3D FEM packages. In contrast to the existing M...

This paper presents a voxel-based biomechanical model for muscle deformation using finite element method (FEM) and volume graphics. Hierarchical voxel meshes are reconstructed from filtered segmented muscle images followed by FEM simulation and volume rendering. Physiological muscle force is considered and linear elastic muscle models for both static and dynamic cases are simulated by FEM. Voxe...

The coupled damage/plasticity model for meso-level which is ply-level in case of Uni-Directional (UD) Fiber Reinforced Polymers (FRPs) is implemented. The mathematical formulations, particularly the plasticity part, are discussed in a comprehensive manner. The plastic potential is defined in effective stress space and the damage evolution is based on the theory of irreversible thermodynamics. T...

We present a new FEM (Finite Element Method) model for the 3D reconstruction of a deforming scene using as sole input a calibrated video sequence. Our approach extends the recently proposed 2D thin-plate FEM+EKF (Extended Kalman Filter) combination. Thinplate FEM is an approximation that models a deforming 3D thin solid as a surface, and then discretizes the surface as a mesh of planar triangle...