The finite element method applied to the systemgenerated electromagnetic pulse boundary layer
Abstract
Use of the finite element method to solve the nonlinear electron plasma equations for the systemgenerated electromagnetic pulse boundary layer in one spatial dimension is described. These equations were solved in distance velocity phase space using a rectangular finite element mesh. Linear approximations were used for both the trial and weight functions for each element. The advection terms in the Vlasov plasma equation were treated with the Heinrich upwinding technique. The time integration was performed using an explicit twostep LaxWendroff procedure. The system of algebraic equations was solved with a fullypacked GaussSeidel iteration scheme. A value of 2/3 for the upwinding parameter was found to provide the best compromise between dispersion of the pulse and computer storage requirements. The savings in computer memory results in increased execution speed for the algorithm. Also, it is shown that the numerical scheme does not permit spurious pulse reflections from the edges of the mesh. Results for several test cases are presented.
 Publication:

Ph.D. Thesis
 Pub Date:
 1981
 Bibcode:
 1981PhDT........40G
 Keywords:

 Boundary Layers;
 Electromagnetic Pulses;
 Finite Element Method;
 Mathematical Models;
 Algorithms;
 Equations;
 Numerical Analysis;
 Plasma Dynamics;
 Communications and Radar