Exact nonreflecting boundary conditions for the time dependent wave equation
SIAM Journal on Applied Mathematics
Nonreflecting boundary conditions for time-dependent scattering
Journal of Computational Physics
Nonreflecting boundary conditions for Maxwell's equations
Journal of Computational Physics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Journal of Computational Physics
A Fast Preconditioned Iterative Algorithm for the Electromagnetic Scattering from a Large Cavity
Journal of Scientific Computing
A two-dimensional Helmhotlz equation solution for the multiple cavity scattering problem
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
In this paper, we consider the scattering of the time-harmonic plane wave by a protruding cavity embedded in the PEC ground plane. An artificial boundary condition is introduced on a semicircle enclosing the cavity that couples the fields from the infinite exterior domain to those inside. Variational formulations for the TM and TE polarizations are derived and existence and uniqueness of weak solutions are established. Finite element error analysis is also performed. Numerical experiments demonstrate the efficiency and accuracy of the method.