Point EM source in an unbounded domain

• Solved using the discontinuous Galerkin (DG) method with the complete radiation boundary condition (CRBC) to truncate the boundary.

• Point source in the center of the domain

• Spatial DG error on the order of 10^{-4}

• CRBC error is on the order predicted a priori ~3^{-6}

• In the plots below we clip the error to show that the CRBC error does not contaminate the volume

Numerical Mesh

Pointwise energy error of the computed solution

Point EM source in an unbounded domain

• Solved using the discontinuous Galerkin (DG) method with the complete radiation boundary condition (CRBC) to truncate the boundary.

• Point source in the center of the domain

• Spatial DG error on the order of 10^-8; Any errors larger come from the CRBC

• CRBC error is on the order predicted a priori

Numerical Mesh

Pointwise energy error of the computed solution