41 citations · 281 across the 31 of their papers we have counts for
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Stability Properties of the Time Domain Electric Field Integral Equation Using a Separable Approximation for the Convolution with the Retarded Potential
A. J. Pray, N. V. Nair, B. Shanker
The state of art of time domain integral equation (TDIE) solvers has grown by leaps and bounds over the past decade. During this time, advances have been made in (i) the developmen…
The Rapid Analysis of Scattering from Periodic Dielectric Structures Using Accelerated Cartesian Expansions (ACE)
Andrew D. Baczewski, Nicholas C. Miller, Balasubramaniam Shanker
The analysis of fields in periodic dielectric structures arise in numerous applications of recent interest, ranging from photonic bandgap (PBG) structures and plasmonically active…
An O(N) Method for Rapidly Computing Periodic Potentials Using Accelerated Cartesian Expansions
Andrew D. Baczewski, Balasubramaniam Shanker
The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct…
Generalized Method of Moments: A novel framework for analyzing acoustic scattering from complex objects using a locally smooth surface parametrization and adaptive basis spaces
Naveen Nair, Balasubramaniam Shanker, Leo Kempel
The analysis of scattering from complex objects using surface integral equations is a challenging problem. Its resolution has wide ranging applications- from crack propagation to d…