Titlebook: Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018; Gabriel R. Barrenechea,John Mackenzie Conference proceedings

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Work, Play, and Civic Engagementa jet, impacting perpendicularly onto the latter in the direction of gravity, are presented. Ubiquitous in engineering applications and involving a myriad of disparate velocity and length scales, thus extreme aspect ratios, this flow configuration is an archetypical one for the application of dimens

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Ontologies and Coherence Spaces,rbolic state. We prove convergence of the homogenisation process in the unit square and present a numerical method to deal with approximations of the resulting equations. A numerical study finalises the contribution.

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https://doi.org/10.1007/978-3-642-19211-1In particular, we use a Galerkin formulation with B-splines as basis functions. The question we address is: how should the knots be chosen in order to get uniform, exponential convergence in the maximum norm? We provide specific guidelines on how to achieve precisely this, for three different singul

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Maria Perifanou,Anastasios A. EconomidesWe construct a new numerical method comprising upwind finite difference operators on asymptotically appropriate Shishkin meshes to obtain a numerical approximation to the solution of the Hemker problem. Numerical results indicate that the numerical approximations are computationally uniformly convergent with respect to the small parameter ..

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