A new class of variational methods for multiphysics interfacial problems, data driven modeling, and error estimation

A new class of variational methods for multiphysics interfacial problems, data driven modeling, and error estimation

April 11, 2019, 12:00 PM*


Arif Masud
Department of Civil and Environmental Engineering
Department of Aerospace Engineering
Computational Science and Engineering
University of Illinois at Urbana-Champaign


This talk presents a new class of variational multiscale methods for nonlinear multiphysics problems with dominant interfacial phenomena, embedded constraints, and weak and strong discontinuities. The framework is equipped with adjoint-based error estimation feature that emanates naturally in the development of the method. Ideas are presented in the context of fluid mechanics problems for consistent coupling of multiple interacting PDEs on adjoining subdomains, and then extended to FSI and nonlinear material modeling while accommodating a range of interfacial kinematic behaviors.  Hierarchical structure of the multiscale framework facilitates direct embedding of experimental/sensor data in the variational constructs to augment physics-based modeling with data driven modeling. The structure of the derived kernel functions provides ideas for the integration of machine learning approaches in the modeling methods. Examples from nonlinear coupled systems are presented to highlight the generality of the proposed methods and their application to problems of contemporary interest in science and engineering.

Bio: Arif Masud received Ph.D. in Computational Mechanics from Stanford University. He is Professor of Engineering Mechanics in the Department of Civil and Environmental Engineering, and holds joint appointments in Department of Aerospace Engineering, and Computational Science and Engineering at the University of Illinois at Urbana-Champaign. Dr. Masud has made fundamental and pioneering contributions to the development of Stabilized and Variational Multiscale Methods for fluid and solid mechanics. He has authored or co-authored over 130 refereed journal and conference papers. He is past Chair of the Fluid Mechanics Committee of ASME, and the Computational Mechanics Committee of ASCE. He has served as an Associate Editor of the ASME Journal of Applied Mechanics, ASCE Journal of Engineering Mechanics, and currently serves as AE of the International Journal of Multiscale Computational Engineering. Dr. Masud is an Associate Fellow of AIAA, and Fellow of USACM, IACM, AAM, EMI, ASME, and has been awarded the 2019 G.I. Taylor Medal by the Society of Engineering Science.

Link to Web Page: http://amasud.cee.illinois.edu/

Speaker: Arif Masud
MIT Distinguished Seminar Series in Computational Science and Engineering