Vikram Gavini's blog

There are multiple faculty positions (tenured/tenure-track, open rank) open in the Department of Mechanical Engineering at the University of Michigan. The focus of our search this year is in the areas of solid mechanics and fluid mechanics. Link to the announcement: https://me.engin.umich.edu/about/positions/faculty/

Sincerely,

Vikram Gavini

Dear Colleagues,

Dear Colleagues,

I wish to share with you our recent article on "Higher-order adaptive finite-element method for Kohn-Sham density functional theory", which will soon appear in the Journal of Computational Physics. Below is the abstract and attached is a preprint of the article.

P. Motamarri, N.R. Nowak, K. Leiter, J. Knap, V. Gavini, Higher-order adaptive finite-element methods for Kohn-Sham density functional theory, J. Comp. Phys. 253, 308-343 (2013).

Dear Colleagues,

I wish to bring to your attention my recent work with Liping Liu on "A homogenization analysis of the field theoretic approach to the quasi-continuum method" to appear in the Journal of the Mechanics and Physics of Solids. Below is the abstract and attached is the preprint of the article. I will very much appreciate your comments and suggestions.

A Homogenization Analysis of the Field Theoretic Approach to the Quasi-Continuum Method

Minisymposium on Multiscale Computation and Modeling of Microstructural Defects in Materials (symposium 9.2)

Dear Colleagues,

I wish to bring to your attention my recent work with Mrinal Iyer on a field theoretic approach to the quasi-continuum method to appear in Journal of the Mechanics and Physics of Solids. Below is the abstract and attached is the preprint of the article. I will very much appreciate your comments and suggestions.

A Field Theoretic Approach to the Quasi-Continuum Method

Through this post I wish to share some recent results that provide new insights into the role of a defect-core in mechanics. Below is the abstract of the work, and the references and links to the preprints of articles. I look forward to your comments and suggestions.



Abstract:

I am attaching a brief overview of electronic structure theories (ab-initio theories) with emphasis on the various approximations that form a basis for these theories. It also contains references that provide a comprehensive introduction to the field.