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N. Sukumar's blog

TeX-based equation image generator

Submitted by N. Sukumar on

If you would like to include LaTeX equations in a presentation (Powerpoint, Keynote, or others), and have not found a good solution so far, then you might wan't to consider TeXclip.  It is on the web (no installation needed) and high-quality images of the TeX equations can be incorporated into a presentation rather seamlessly. I have been using TeXPoint so far, but do like the simple usage and the quality of the images that TeXclip generates.

Workshop on Generalized Barycentric Coordinates in Geometry Processing and FEM/BEM

Submitted by N. Sukumar on

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                                         Call for participation

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Linear scaling solution of the all-electron Coulomb problem in solids

Submitted by N. Sukumar on

In this manuscript (available at http://arxiv.org/abs/1004.1765), we present a systematically improvable, linear scaling formulation for the solution of the all-electron Coulomb problem in crystalline solids. In an infinite crystal, the electrostatic (Coulomb) potential is a sum of nuclear and electronic contributions, and each of these terms diverges and the sum is only conditionally convergent due to the long-range 1/r nature of the Coulomb interaction.

Fortran 90 library for maximum-entropy basis functions

Submitted by N. Sukumar on

Attached is a tar archive for a Fortran 90 library to compute maximum-entropy basis functions.  I have used the G95 compiler. The manual in PDF is also attached and a html version of the same is also available, which provide details on how to install the code and its capabilities. The library is released under the GNU Lesser GPL version 3 license.

Maximum entropy coordinates for arbitrary polytopes

Submitted by N. Sukumar on

In the attached paper, we construct new generalized coordinates for arbitrary polytopes in d-dimensions (polygons and polyhedra in 2- and 3-dimensions, respectively) using the principle of maximum entropy. The paper is to appear in Computer Graphics Forum and will be presented at the SGP'08 Conference in Denmark.  

Bloch-periodic boundary conditions in classical and enriched FEM

Submitted by N. Sukumar on

In the attached paper (accepted for publication), we present enriched FE formulations to impose Bloch-periodic boundary conditions. Bloch-periodic BCs arise in the description of wave-like phenomena in periodic media: periodic composites, Schrodinger equation in quantum mechanics, photonic band-gap materials, etc. For a perspective, see the J-Club on elastodynamic bandgaps and metamaterials that was organized by Biswajit Banerjee

Postdoctoral Position at UC Davis in Computational Materials Science

Submitted by N. Sukumar on

Update: The position has been filled; thanks to all who responded.

A post-doctoral position is immediately available at UC Davis. The individual will work on a joint project led by myself and John Pask at LLNL on the development and application of a new finite-element based approach for large-scale quantum mechanical materials calculations.