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.
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