SFU Applied & Computational Math Seminar Series: David Williams

  • Date: 11/04/2022
  • Time: 15:30
Lecturer(s):
David Williams, Penn State University

 

Bio:

David M. Williams is an assistant professor at The Pennsylvania State University in the Mechanical Engineering Department. He came to Penn State from the Flight Sciences division of Boeing Commercial Airplanes and Boeing Research and Technology, where he worked for several years as a computational fluid dynamics engineer. Williams received his M.S. and Ph. D. in Aeronautics and Astronautics at Stanford University. He holds a B.S.E. in Aerospace Engineering from the University of Michigan. He has made significant advances in the design of numerical algorithms for computational fluid dynamic simulations. Currently, his research focuses on employing high-order Finite Element schemes to more accurately predict unsteady flows.

Location: 

Simon Fraser University

Topic: 

Space-Time Finite Element Methods: Challenges and Perspectives

Description: 

Space-time finite element methods (FEMs) are likely to grow in popularity due to the ongoing growth in the size, speed, and parallelism of modern computing platforms. The allure of space-time FEMs is both intuitive and practical. From the intuitive standpoint, there is considerable elegance and simplicity in accommodating both space and time using the same numerical discretization strategy. From the practical standpoint, there are considerable advantages in efficiency and accuracy that can be gained from space-time mesh adaptation: i.e. adapting the mesh in both space and time to resolve important solution features. However, despite these considerable advantages, there are numerous challenges that must be overcome before space-time FEMs can realize their full potential. These challenges are primarily associated with four-dimensional geometric obstacles (hypersurface and hypervolume mesh generation), four-dimensional approximation theory (basis functions and quadrature rules), four-dimensional boundary condition enforcement (well-posed, moving boundary conditions), and iterative-solution techniques for large-scale linear systems. In this presentation, we will provide a brief overview of space-time FEMs, and discuss some of the latest research developments and ongoing issues.

Other Information: 

Location: K9509

 

Time: 3.30pm - 4.30pm Pacific

 

More details listed here.