The use of the boundary element method (BEM) is explored as an alternative to the finite element method (FEM) solution methodology for the elliptic equations used to model the generation and transport of fluorescent light in highly scattering media, without the need for an internal volume mesh. The method is appropriate for domains where it is reasonable to assume the fluorescent properties are...

Simulation of a large number of deformable bodies is often difficult because complex high-level modeling is required to address both multi-body contact and viscoelastic deformation. This necessitates the combined use of a discrete element method (DEM) and a finite element method (FEM). In this study, a quadruple discrete element method (QDEM) was developed for dynamic analysis of viscoelastic m...

The interaction of guided waves with non-axisymmetric damages in cylinders is studied. A three dimensional hybrid method involving the classical Finite Element Method (FEM) and the Semi-Analytical Finite Element (SAFE) technique is developed. The damage and its near field are analysed with the standard FEM. Then, eigenmode expansions of the solutions at both inlet and outlet cross-sections of t...

Only very recently, Sayas [The validity of Johnson-Nédélec's BEM-FEM coupling on polygonal interfaces. SIAM J Numer Anal 2009;47:3451-63] proved that the Johnson-Nédélec one-equation approach from [On the coupling of boundary integral and finite element methods. Math Comput 1980;35:1063-79] provides a stable coupling of finite element method (FEM) and boundary element method (BEM). In our work,...

We present Fitness Expectation Maximization (FEM), a novel method for performing ‘black box’ function optimization. FEM searches the fitness landscape of an objective function using an instantiation of the well-known Expectation Maximization algorithm, producing search points to match the sample distribution weighted according to higher expected fitness. FEM updates both candidate solution para...

The direct electro/magnetoencephalographic (E/MEG) problem consists of simulating the electromagnetic field produced by neuronal sources on the cortex. We compare two different methods for the resolution of this problem, from the point of view of computational complexity and accuracy. First, the finite element method (FEM), based on the discretization of the PDE in the entire head volume. Secon...

This paper advocates a method for real-time physical deformation and arbitrary cutting simulation of heterogeneous objects with multi-material distribution, whose originality centers on the tight coupling of domain-specific finite element method (FEM) 1 and material-distance-aware meshless approach in a CUDA-centric parallel simulation framework. We employ hierarchical hexahedron serving as bas...

The finite elements method (FEM) is a useful tool for the analysis of the strain state of semiconductor heterostructures. It has been used for the prediction of the nucleation sites of stacked quantum dots (QDs), but often using either simulated data of the atom positions or two-dimensional experimental data, in such a way that it is difficult to assess the validity of the predictions. In this ...

Disk brake squeal noise is mainly due to unstable friction-induced vibration. A typical disk brake system includes two pads, a rotor, a caliper and a piston. In order to predict if a disk brake system will generate squeal, the finite element method (FEM) is used to simulate the system. At the contact interfaces between the pads and the rotor, the normal displacement is continuous and Coulomb’s ...

For pile foundations subjected to lateral loads, an analysis method should account for the response of the combined soil-pile system. Current practice for pile-soil interaction analysis usually employs a series of springs to model the lateral behavior of soil-pile interaction. In this method, the force (p) – deformation (y) function, widely known as p-y curve, of the spring characterizes the pi...