Browsing 002 Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences by Author "Oberbroeckling, L."
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Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales
Melenk, J. M.; Xenophontos, Christos A.; Oberbroeckling, L. (2013)We consider a coupled system of two singularly perturbed reaction-diffusion equations, with two small parameters 0 < ε ≤ μ ≤ 1, each multiplying the highest derivative in the equations. The presence of these parameters ...
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Article
hp finite element methods for fourth order singularly perturbed boundary value problems
Xenophontos, Christos A.; Melenk, M.; Madden, N.; Oberbroeckling, L.; Panaseti, Pandelitsa; Zouvani, A. (2013)We consider fourth order singularly perturbed boundary value problems (BVPs) in one-dimension and the approximation of their solution by the hp version of the Finite Element Method (FEM). If the given problem's boundary ...
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A numerical study on the finite element solution of singularly perturbed systems of reaction-diffusion problems
Xenophontos, Christos A.; Oberbroeckling, L. (2007)We consider the approximation of singularly perturbed systems of reaction-diffusion problems, with the finite element method. The solution to such problems contains boundary layers which overlap and interact, and the ...
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Article
On the finite element approximation of systems of reaction-diffusion equations by p/hp methods
Xenophontos, Christos A.; Oberbroeckling, L. (2010)We consider the approximation of systems of reaction-diffusion equations, with the finite element method. The highest derivative in each equation is multiplied by a parameter ε∈ G (0,1], and as ε → 0 the solution of the ...
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Article
Robust exponential convergence of hp FEM for singularly perturbed reaction-diffusion systems with multiple scales
Melenk, J. M.; Xenophontos, Christos A.; Oberbroeckling, L. (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 ...