Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Nicaise, S."
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Article
Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains
Nicaise, S.; Xenophontos, Christos A. (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
Finite element methods for a singularly perturbed transmission problem
Nicaise, S.; Xenophontos, Christos A. (2009)We consider a one-dimensional singularly perturbed transmission problem with two different diffusion coefficients. The solution will contain boundary layers only in the part of the domain where the diffusion coefficient ...
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Article
An hp-fem for singularly perturbed transmission problems
Nicaise, S.; Xenophontos, Christos A. (2017)We perform the analysis of the hp finite element approximation for the solution to singularly perturbed transmission problems, using Spectral Boundary Layer Meshes. In [12] it was shown that this method yields robust ...
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Article
Robust approximation of singularly perturbed delay differential equations by the hp finite element method
Nicaise, S.; Xenophontos, Christos A. (2013)We consider the finite element approximation of the solution to a singularly perturbed second order differential equation with a constant delay. The boundary value problem can be cast as a singularly perturbed transmission ...