Applied Math Seminar: Compatible discretization with meshless methods

Event Type: 
Seminar
Speaker: 
Nat Trask
Event Date: 
Monday, January 23, 2017 - 3:30pm
Location: 
SMLC 356
Audience: 
Faculty/StaffStudentsAlumni/Friends

Event Description: 

Title:

Compatible discretization with meshless methods
 
Abstract:
Meshless discretizations are a useful tool for many applications due to their ability to easily handle deforming geometries and Lagrangian schemes. In many cases however they lag behind their mesh-based counterparts when considering accuracy and stability. This may be attributed to the fact that the mesh in mesh-based schemes allows analysis of these methods in terms of a discrete exterior calculus, which is unavailable in the meshless case. In this talk we present several new meshless methods that allow compatible, high-order discretization of div-grad, curl-curl, and grad-div problems. We then demonstrate how these discretizations may be combined to tackle problems in low Reynolds number suspension flows, electrokinetics, elasticity and electromagnetics.
 
Coffee and cookies will be served in the lounge at 15.00
 
 

Event Contact

Contact Name: Deborah Sulsky

Contact Email: sulsky@math.unm.edu