[the 4 lowest eigenmodes for an elasticity problem]
[256 subdomains partitioning]

Tools and Techniques
Our main efforts are on testing and expanding the current
stateoftheart in eigenvalue solvers applied to the field
of nanotechnology. We are currently concentrated on:
 Nonlinear Conjugate Gradient Methods (see [1]);
 Efficient parallel implementation;
 Preconditioning.
Our work uses software tools/libraries like
 PESCAN; Lapack/ScaLapack; ParMetis and ParaGrid;
FTMPI, etc.
Applications
 Quantum Nanostructures: computational prediction of
their electronic properties (see [1]);
 Computational Electromagnetics: computation of
frequencies that "propagate";
 Structural Dynamics: computation of vibration modes
in elasticity problems.

[1] 
Stanimire Tomov, Julien Langou, Andrew Canning,
LinWang Wang, and Jack Dongarra,
Comparison of Nonlinear
ConjugateGradient Methods for
Computing the Electronic Properties
of Nanostructure Architectures,
International Conference on Computational Science, May 2005.
[supported by the US DOE,
Office of Science, Office of Advanced Scientific Computing (MICS)
and Basic Energy Science under LAB0317 initiative,
contract Nos. DEFG0203ER25584 and DEAC0376SF00098]

