Finite element methods (FEM) are generally used in cardiac 3D-electromechanical modeling. For FEM modeling, a step of a suitable mesh construction is required, which is non-trivial and time-consuming for complex geometries. A meshless method is proposed to avoid meshing. The smoothed particle hydrodynamics (SPH) method was used to solve an electrophysiological model on a left ventricle extracte...

We use the modified smoothed particle hydrodynamics (MSPH) method to study the propagation of elastic waves in functionally graded materials. An artificial viscosity is added to the hydrostatic pressure to control oscillations in the shock wave. Computed results agree well with the analytical solution of the problem. It is shown that, for the same placement of particles/nodes the MSPH method gi...

Flip Chip Ball Grid Array (FCBGA) package has been introduced in recent years to address the needs in the microelectronic packaging industry for increasing performance and I/O density, which offers a cost effective solution with smaller form factor. Furthermore, Cu interconnects with low-k dielectric material were also introduced to reduce power consumption and further enhance device performanc...

An error control technique aimed to assess the quality of smoothed finite element approximations is presented in this paper. Finite element techniques based on strain smoothing appeared in 2007 were shown to provide significant advantages compared to conventional finite element approximations. In particular, a widely cited strength of such methods is improved accuracy for the same computational...

Over the past few decades, there has been a growing interest in modelling of machining processes. In this regard, smoothed particle hydrodynamics (SPH) is one of the latest methods used for that purpose. SPH is a powerful technique that can be used in handling problems of large deformation that are difficult to be tackled using traditional finite element methods. The current work aims to presen...

A selective smoothed finite element method (Selective S-FEM) is developed for dynamic 3D analysis of extremely large deformation of incompressible bio-tissues, using the simplest 4-node tetrahedron elements. In the present selective S-FEM, face-based Smoothed FEM (FS-FEM) and node-based Smoothed FEM (NS-FEM) are, respectively, used for the deviatoric and volumetric parts of the deformation of i...

The finite element method (FEM) is often used as the conventional method in computational geomechanics. However, dealing with the large deformation and failure is generally a difficult task for FEM since this method is suffered from grid distortions. In order to resolve this problem, the development of smoothed particle hydrodynamics (SPH) to simulate large deformation and failure of geomateria...

Full wave equation 2D modeling and migration using a new finite difference scheme based on the Galerkin method (FDGM) for irregular grids are presented. Since these involve semi-discretization by the finite element method (FEM) in the depth direction with the linear element, spatially irregular grids can be used to compute the wavefield in modeling and reverse-time migration. The mesh can be ma...

We study the solution of linear systems that typically arise in discretizations of boundary value problems on a domain with geometrical symmetries. If the discretization is done in an appropriate way, then such a system commutes with a group of permutation matrices. Recently, algorithms have been developed that exploit this special structure, however these methods are limited to the case that t...

This contribution reports on the potential and limits of a meshless Lagrangian technique, called Smoothed Particle Hydrodynamics (SPH), as a method for acoustic simulation. The established techniques for acoustic simulation, such as the Boundary Element Method (BEM), Finite Differences Method (FD), and Finite Element Method (FEM), draw on mesh-based numerical solution techniques. In spite of st...