Fast Multipole Method, Tree-Code and Related Approximate Algorithms.
Trading Exactness for Efficiency.

CSIC Building (#406), Seminar Room 4122.
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Plane Wave Time Domain Accelerated Integral Equation Solvers

Dr. Eric Michielssen

University of Illinois at Urbana-Champaign

Abstract:   The plane wave time-domain (PWTD) algorithm permits the efficient evaluation of linear (scalar and vector) wave fields due to bandlimited transient sources. In essence, PWTD schemes constitute extensions of the frequency domain fast multipole method (Helmholtz equation) to the time domain (wave equation). PWTD algorithms already have been proven useful in the construction of fast time domain integral equation solvers and fast boundary kernels for finite difference/element grid truncation. This presentation will review the state of the art in the field, with a special focus on the development of PWTD kernels for low-frequency and lossy medium applications, the construction of hybrid accelerated time domain integral equation solvers capable of analyzing electromagnetic wave interactions with nonlinearly loaded structures, and the application of the resulting codes in the assessment of electromagnetic compatibility and interference problems.