A robust finite element method for singularly perturbed
Runchang Lin - Department of Mathematical and Physical Sciences, Texas A&M International University, Laredo, Texas, 78041-1900, United States (email)
Abstract: In this paper, we consider a convection-diffusion boundary value problem with singular perturbation. A finite element method (FEM) is proposed based on discontinuous Galerkin (DG) discretization of least-squares variational formulation. Numerical tests on representative problems reveal that the method is robust and efficient.
Keywords: Finite element methods, least-squares methods,
discontinuous Galerkin methods, singular perturbation problems,
Received: July 2008; Revised: June 2009; Published: September 2009.