2009, 23(1/2): 315-339. doi: 10.3934/dcds.2009.23.315

Interaction of boundary layers and corner singularities

1. 

Department of Mathematics, Arizona State University,Tempe, AZ 85287-1804, The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 E. 3rd St., Rawles Hall, Bloomington, IN 47405, United States

2. 

The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 E. 3rd St., Rawles Hall, Bloomington, IN 47405

Received  December 2007 Revised  May 2008 Published  September 2008

Our aim in this article is to study the interaction of \textit{boundary layers} and \textit{corner singularities} in the context of singularly perturbed convection-diffusion equations. For the problems under consideration, we determine a simplified form of the corner singularities and show how to use it for the numerical approximation of such problems in the context of variational approximations using the concept of \textit{enriched spaces}.
Citation: Chang-Yeol Jung, Roger Temam. Interaction of boundary layers and corner singularities. Discrete & Continuous Dynamical Systems - A, 2009, 23 (1/2) : 315-339. doi: 10.3934/dcds.2009.23.315
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