Browsing by Author "Melenk, J. M."
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Article
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
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 ...
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Article
Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion equations
Melenk, J. M.; Xenophontos, Christos A. (2016)The hp-version of the finite element method is applied to a singularly perturbed reaction-diffusion equation posed on an interval or a two-dimensional domain with an analytic boundary. On suitably designed Spectral Boundary ...