Stability analysis of the marching-on-in-time boundary element method for electromagnetics
The paper under review deals with the stability analysis of the marching-on-in-time boundary element method for some models arising in electromagnetics. This study is carried out starting from a functional framework and a stability property related to the variational formulation of the original electric field integral equation. Next, the authors extend this stability theorem to the differentiated electric field integral equation, which requires another test function space. This development is in relationship with the space-time Petrov-Galerkin method. A discretely equivalent collocation scheme motivates the choice of quadratic spline basis functions. Computational experiments for an aircraft confirm the stability of this particular time-domain boundary integral equation method for electromagnetics.
time-dependent boundary integral equations
scientific article; zbMATH DE number 6508293