Stabilized Finite Element Methods And Applications

Open Access
Author:
Lin, Sen
Graduate Program:
Aerospace Engineering
Degree:
Master of Science
Document Type:
Master Thesis
Date of Defense:
July 09, 2018
Committee Members:
  • Francesco Costanzo, Thesis Advisor
Keywords:
  • stabilized finite element method
  • variational multi-scale method
Abstract:
We provide a overview of the residual-based stabilized Finite-Element methods, with both historical and theoretical treatment. Four standard model problems have been selected to present these stabilization methods. In particular, the variational multi-scale (VMS) method has been discussed in details. As an application, we have introduced an incompressible fluid problem. A numerical scheme has been derived based on the VMS method, with demonstration of its numerical stability.