Finite elements applied to plasma waves

Finite Elements Software for Electromagnetics Applied to Electrical Engineering Training

This paper reports an example of state-of-the-art technology applied to academic training of electrical engineers. An updated commercial Finite Element Method Software package is used to calculate electrical fields and power dissipation in a resistor with a complex geometry. These results are compared with theoretical solutions of a simplified model which can be obtained by the students with ba...

New Finite Elements for Large-Scale Simulation of Optical Waves

A finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging

The water proton magnetization subject to diffusion-encoding magnetic field gradient pulses in a heterogeneous medium can be modeled by the multiple compartment Bloch-Torrey partial differential equation (PDE). In addition, steady-state Laplace PDEs can be formulated to produce the homogenized diffusion tensor that describes the diffusion characteristics of the medium in the long time limit. In...

Distributed Point Objects: A new concept for parallel finite elements applied to a geomechanical problem

We present a new concept for the realization of finite element computations on parallel machines with distributed memory. The parallel programming model is based on a dynamic data structure addressed by points. All geometric objects (cells, faces, edges) are referenced by their midpoints, and all algebraic data structures (vectors and matrices) are tied to the nodal points of the finite element...

Nonlinear Solitary Structures of Electron Plasma Waves in a Finite Temperature Quantum Plasma

Nonlinear solitary structures of electron plasma waves have been investigated by using nonlinear quantum fluid equations for electrons with an arbitrary temperature. It is shown that the electron degeneracy parameter has significant effects on the linear and nonlinear properties of electron plasma waves. Depending on its value both compressive and rarefactive solitons can be excited in the mode...