PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor.

Title:Adaptive Finite Element Method for Peridynamic and Nonlocal Diffusion Models
Seminar:CCMA Luncheon Seminar
Speaker:Li Tian, Penn State U.
Abstract:
Peridynamics is a continuum mechanics based on integral equations for nonlocal material modeling. It extends the classical continuum mechanics by allowing long-range forces, therefore can be used to describe deformations with discontinuities like fractures and cracks. Peridynamics is also an effective alternative of molecular dynamics, with lower computational cost. One of the speaker’s current research areas is the adaptive finite element method(FEM) for such nonlocal problems, since large error may arise around discontinuities during numerical approximations. In this presentation, the speaker will first give a brief introduction to the peridynamic theory, as well as the finite element discretization and error analysis for peridynamic constrained- value problem. Then the speaker will present the a posteriori error analysis for the nonlocal diffusion problem, which is the scalar version of the general peridynamic model. Based on the nonlocal a posteriori error analysis, a convergent adaptive FEM is derived for the model problem, which means we do get reduced numerical error by using adaptive refinement. Various numerical experiment will be presented to support the theoretical conclusions.

Room Reservation Information

Room Number:MB114
Date:02 / 24 / 2012
Time:12:20pm - 01:30pm