A priori and a posteriori error estimators for first-principle molecular simulation
主 题: A priori and a posteriori error estimators for first-principle molecular simulation
报告人: Eric Cances, CERMICS - Ecole des Ponts ParisTech
时 间: 2017-06-09 10:30 - 2017-06-09 11:30
地 点: 理科一号楼1114教室
First-principle molecular simulation based on electronic structure calculation has become an essential tool in chemistry, condensed matter physics, molecular biology, materials science, and nanosciences.
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\nIn this talk, I will focus on Density Functional Theory and the Kohn-Sham model, which is to date the most widely used approach in electronic structure calculation, since it provides the best compromise between accuracy and computational efficiency. The Kohn-Sham model is a constrained optimization problem, whose Euler-Lagrange equations have the form of a coupled system of nonlinear elliptic eigenvalue problems. I will present some recent progress made in the numerical analysis of this model, which paves the road to high-fidelity numerical simulations (with a posteriori error bounds) of the electronic structure of large molecular systems.
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