41 citations · 281 across the 31 of their papers we have counts for
5 papers · 1 filter
A Charge Conserving Exponential Predictor Corrector FEMPIC Formulation for Relativistic Particle Simulations
Omkar H. Ramachandran, Leo C. Kempel, John Luginsland +1
The state of art of charge-conserving electromagnetic finite element particle-in-cell has grown by leaps and bounds in the past few years. These advances have primarily been achiev…
A Complete Helmholtz Decomposition on Multiply Connected Subdivision Surfaces and Its Application to Integral Equations
A. M. A. Alsnayyan, L. Kempel, B. Shanker
The analysis of electromagnetic scattering in the isogeometric analysis (IGA) framework based on Loop subdivision has long been restricted to simply-connected geometries. The inabi…
Iso-geometric Integral Equation Solvers and their Compression via Manifold Harmonics
A. M. A. Alsnayyan, B. Shanker
The state of art of electromagnetic integral equations has seen significant growth over the past few decades, overcoming some of the fundamental bottlenecks: computational complexi…
Laplace-Beltrami based Multi-Resolution Shape Reconstruction on Subdivision Surfaces
A. M. A. Alsnayyan, B. Shanker
The eigenfunctions of the Laplace-Beltrami operator have widespread applications in a number of disciplines of engineering, computer vision/graphics, machine learning, etc. These e…
Time-dependent Debye-Mie Series Solutions for Electromagnetic Scattering
Jie Li, Balasubramaniam Shanker
Frequency domain Mie solutions to scattering from spheres have been used for a long time. However, deriving their transient analogue is a challenge as it involves an inverse Fourie…