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Mathematical Sciences Colloquium by Xiaochuan Tian
Friday, Dec. 13, 2019
2 p.m. - 3 p.m. Location: FO 2.404

Xiaochuan Tian

Department of Mathematics, University of Texas at Austin

Analysis and computation of nonlocal models 

Nonlocal continuum models are in general integral-differential equations in place of the conventional partial differential equations. While nonlocal models show their effectiveness in modeling a number of anomalous and singular processes in physics and material sciences, for example, the peridynamics model of fracture mechanics, they also come with increased difficulty in numerical analysis with nonlocality involved. We present in this talk numerical analysis for nonlocal models characterized by a horizon parameter which measures the range of nonlocal interactions. In addition,  we will illustrate how to characterize the origin of nonlocality through homogenization of wave propagation in periodic media.

Coffee for our talk will be served 30 minutes prior to the talk in FO 2. 404.

 

Persons with disabilities may submit a request for accommodations to participate in this event at UT Dallas' ADA website. You may also call (972) 883-5331 for assistance or send an email to [email protected]. All requests should be received no later than 2 business days prior to the event.
Contact Info:
Viswanath Ramakrishna, 972-883-6873
Questions? Email me.

Tagged as Lectures/Seminars, Professional Dev.
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