A new method of migration using the finite element method (FEM) and the finite difference method (FDM) is jointly used in the spatial domain. It has been applied to solve a time relay 2D wave equation. By using the semi-discretization technique of FEM in the spatial domain, the origin problem can be written as a coupled system of lower dimensions partial differential equations (PDEs) that conti...

This paper considers the extension of the frequency application range of the finite element method (FEM) applied to steady-state acoustic problems. This is achieved by the hybrid coupling of the FEM with the wave based method (WBM). The WBM is a computationally efficient alternative for the FEM, but it is restricted to acoustic problems of moderate geometrical complexity. The hybrid finite elem...

This study presents a fast and exact computational method for crack propagation which is based on the extended finite element method (X-FEM). It is well known that the X-FEM has been developed to be an important numerical method for crack propagation. However, there are still some limitations on the computational cost due to the requirements of very refined meshes and very small iteration step ...

For solving electroencephalographic forward problem, coupled method of finite element method FEM and fast moving least square reproducing kernel method FMLSRKM which is a kind of meshfree method is proposed. Current source modeling for FEM is complicated, so source region is analyzed usingmeshfreemethod. First order of shape function is used for FEM and second order for FMLSRKM because FMLSRKM ...

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...

Hybrid FEM/MoM methods combine the finite element method (FEM) and the method of moments (MoM) to model inhomogeneous unbounded problems. These two methods are coupled by enforcing field continuity on the boundary that separates the FEM and MoM regions. There are three ways of formulating hybrid FEM/MoM methods: outward-looking formulations, inward-looking formulations and combined formulations...

A new method called Expanded Cholesky Method (ECM) is proposed in this paper. The method can be used to decompose sparse symmetric non-positive-definite finite element (FEM) matrices. There are some advantages of the ECM, such as low storage, simplicity and easy parallelization. Based on the method, multifrontal (MF) algorithm is applied in non-positive-definite FEM computation. Numerical resul...

Hybrid FEM/MoM methods combine the finite element method (FEM) and the method of moments (MoM) to model inhomogeneous unbounded problems. These two methods are coupled by enforcing field continuity on the boundary that separates the FEM and MoM regions. Hierarchical higher-order tangential vector finite elements (TVFE’s) are of practical interest because they can be easily combined with low-ord...

The finite element method (FEM) is a well known numerical method in solving partial differential equations (PDEs). All numerical methods inherently have error in comparison to the true solution of the PDE. Base on the FEM theory, the appropriate norm of this error is bounded and it can be estimated by the mesh size. One standard method to get an idea about the sensibility of the numerical solut...

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...