In this paper, an alternating direction Galerkin finite element method is presented for solving 2D time fractional reaction sub-diffusion equation with nonlinear source term. Firstly, one order implicit-explicit method is used for time discretization, then Galerkin finite element method is adopted for spatial discretization and obtain a fully discrete linear system. Secondly, Galerkin alternati...

This paper presents a dynamic intermodal freight network scheme using a Discrete Element Method (DEM) approach for performing the microscopic simulation. The model is applied to a roadway network for freight movements from a port terminal. This approach was used to develop efficient control strategies for optimizing freight flow. The simulation model has various applications with the primary fo...

We study the ability of high order numerical methods to propagate discrete waves at the same speed as the physical waves in the case of the one-way wave equation. A detailed analysis of the finite element method is presented including an explicit form for the discrete dispersion relation and a complete characterisation of the numerical Bloch waves admitted by the scheme. A comparision is made w...

Discrete methods for practical coupled three-dimensional fluid-structure interaction problems are developed. A Co explicitly integrated two-dimensional degenerate shell element and a three-dimensional fluid element are coupled to study shell dynamics, fluid transient and coupled shell-fluid interaction problems. The method of partitioning is used to integrate the fluid and shell meshes in a sta...

This paper presents the VELaSSCo project (Visualization for Extremely LArge-Scale Scientific Computing). It aims to develop a platform to manipulate scientific data used by FEM (Finite Element Method) and DEM (Discrete Element Method) simulations. The project focuses on the development of a distributed, heterogeneous and high-performance platform, enabling the scientific communities to store, p...

Particle compound material is the composition of different particles with inhomogeneous and non-uniform properties. Particle compound material is the most complicated engineering material whose properties vary according to the applications, method of manufacturing and ratio of its ingredients. The quasi-homogeneous materials like building materials and constituents of tablets, pellets etc are s...

Numerical methods for parabolic homogenization problems combining finite element methods (FEMs) in space with Runge-Kutta methods in time are proposed. The space discretization is based on the coupling of macro and micro finite element methods following the framework of the Heterogeneous Multiscale Method (HMM). We present a fully-discrete analysis in both space and time. Our analysis relies on...

Abstract. An explicit method for the evaluation of singular and near-singular integrals arising in three-dimensional Galerkin BEM is presented. It is based on a recursive reduction of the dimension of the integration domain leading to a linear combination of one-dimensional regular integrals, which can be exactly evaluated. This method has appealing properties in terms of reliability, precision...