Browsing by Subject "Exponential convergence"
Now showing items 1-6 of 6
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Article
A C1-conforming hp finite element method for fourth order singularly perturbed boundary value problems
(2016)We consider a fourth order singularly perturbed boundary value problem (BVP) in one-dimension and the approximation of its solution by the hp version of the Finite Element Method (FEM). The given problem's boundary conditions ...
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Article
Combined Variable Speed Limit and Lane Change Control for Highway Traffic
(2017)Variable speed limit (VSL) control of highway traffic is expected to improve traffic mobility, safety, and environment, especially during incidents. However, most existing VSL controllers show significant benefits in ...
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Article
An hp finite element method for 4th order singularly perturbed problems
(2016)We present the analysis for the hp finite element approximation of the solution to singularly perturbed fourth order problems, using a balanced norm. In Panaseti et al. (2016) it was shown that the hp version of the Finite ...
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Article
An hp finite element method for a 4th order singularly perturbed boundary value problem in two dimensions
(2017)We consider a fourth order singularly perturbed boundary value problem posed in a square and the approximation of its solution by the hp version of the finite element method on the so-called Spectral Boundary Layer mesh. ...
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Article
An hp-fem for singularly perturbed transmission problems
(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 exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion equations
(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 ...