Browsing by Subject "boundary layers"
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Article
Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains
(2013)We consider a two-dimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will contain boundary layers only in the part of ...
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Article
Robust exponential convergence of hp FEM for singularly perturbed reaction-diffusion systems with multiple scales
(2013)We consider a coupled system of two singularly perturbed reaction-diffusion equations in one dimension. Associated with the two singular perturbation parameters 0 < ε ≤ μ ≤ 1 are boundary layers of length scales O(ε) and ...