Abstract
This article describes a preconditioner for the indefinite linear equation system that is obtained when the vector wave equation is discretized by hp edge finite elements. A theoretical investigation of the eigenspectrum of the preconditioned system for p = 1 quadrilateral elements illustrates that the preconditioner will perform well, once the mesh spacing is sufficiently fine. Numerical experiments are included, which demonstrate the effectiveness of the preconditioner for h and p refinements in both two and three dimensions.
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