Marching on in time integral equation solvers provides an appealing
avenue for analyzing transient electromagnetic interactions with large and
complex structures. Unfortunately, these solvers often suffer from spatial
(dense-mesh) breakdown phenomena when applied to the analysis of
geometrically intricate and multiscale structures. Often, they also are
susceptible to low-frequency instabilities. This presentation highlights the
recent development of two solvers that address these breakdown phenomena by
leveraging Calderon identities. The proposed solvers are shown to robustly
and seamlessly apply to important engineering problems that span multiple
temporal and spatial scales.
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