Igor Tsukerman's Research Page
Computer simulation of nanoscale and molecular-scale systems:
Metamaterials. Effective medium theory. Backward waves
and negative refraction.
Long-range
electrostatic interactions in heterogeneous media and electrolytes.
Wave
propagation in photonic crystals.
Nano-optics: plasmon-enhanced optical systems with molecular-scale
resolution.
Assembly of
micro- and nanoparticles.
Computational methods:
Flexible
Local Approximation MEthods (FLAME), a
new Finite Difference calculus with nanoscale
applications. Schemes for wave propagation and scattering: Cartesian
grids without 'staircase' effects.
Applied Finite Element Analysis, Multigrid Methods and Generalized FEM.
Overlapping finite elements for
problems with movement (electric machines, nondestructive testing).
Finite Element Theory: a priori error
estimates.
Formulations
of electromagnetic problems.
Downloads (recent talks & papers)