### Boundary element methods for Maxwell's equations on non-smooth
domains

*Annalisa Buffa, Martin Costabel and Christoph Schwab*

Variational boundary integral equations for Maxwells equations on
Lipschitz surfaces in R^3 are derived and their well-posedness in the
appropriate trace spaces is established. An equivalent, stable mixed re-formulation
of the system of integral equations is obtained which admits
discretization by Galerkin boundary elements based on standard spaces.
On polyhedral surfaces, quasioptimal asymptotic convergence of these
Galerkin boundary element methods is proved. A sharp regularity result
for the surface multipliers on polyhedral boundaries with plane faces
is established.

*Numer. Math.* ** 92 ** (2002), no. 4, 679-710.