41 citations · 281 across the 31 of their papers we have counts for
8 papers · 1 filter
Higher Order Charge Conserving Electromagnetic Finite Element Particle in Cell Method
Zane D. Crawford, O. H. Ramachandran, Scott O'Connor +2
Until recently, electromagnetic finite element PIC (EM-FEMPIC) methods that demonstrated charge conservation used explicit field solvers. It is only recently, that a series of pape…
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…
Port Parameter Extraction Based Self Consistent Coupled EM-Circuit FEM Solvers
O. H. Ramachandran, Scott O'Connor, Zane D. Crawford +2
Self consistent solution to electromagnetic (EM)-circuit systems is of significant interest for a number of applications. This has resulted in exhaustive research on means to coupl…
Quasi-Helmholtz Decomposition, Gauss' Laws and Charge Conservation for Finite Element Particle-in-Cell
Scott O'Connor, Zane D. Crawford, O. H. Ramachandran +2
Development of particle in cell methods using finite element based methods (FEMs) have been a topic of renewed interest; this has largely been driven by (a) the ability of finite e…
Time Integrator Agnostic Charge Conserving Finite Element PIC
Scott O'Connor, Zane D. Crawford, O. H. Ramachandran +2
Developing particle-in-cell (PIC) methods using finite element basis sets, and without auxiliary divergence cleaning methods, was a long standing problem until recently. It was sho…
A Set of Benchmark Tests for Validation of 3D Particle In Cell Methods
S. O'Connor, Z. D. Crawford, J. Verboncoeur +2
While the particle-in-cell (PIC) method is quite mature, verification and validation of both newly developed methods and individual codes has largely focused on an idiosyncratic ch…
Rubrics for Charge Conserving Current Mapping in Finite Element Particle in Cell Methods
Zane D. Crawford, Scott O'Connor, John Luginsland +1
Modeling of kinetic plasmas using electromagnetic particle in cell methods (EM-PIC) is a problem that is well worn, in that methods developed have been used extensively both unders…