propagating mode

Thursday, December 15, 2016 - 4:00pm - 5:00pm
Andreas Kloeckner (University of Illinois at Urbana-Champaign)
The boundary value and boundary eigenvalue problems resulting from mathematical models of optical devices require high accuracy in their numerical solution, suggesting the use of numerical methods permitting high-order accuracy. So-called boundary integral equation (BIE) methods are particularly appropriate for models involving piecewise constant coefficients that often occur in these applications. The efficient evaluation of Helmholtz layer potentials, the fundamental mathematical objects involved in BIE methods, is thus of critical importance.
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