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Titlebook: Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014; Petr Knobloch Conference proceedings 2015 Springer Interna

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Philosophy of Engineering and TechnologyUnmanned Aerial Vehicle (UAV) design which uses the Coanda effect as a basis of lift production. This configuration is important in a way that it considers the Coanda wall jet over a smooth convex wall with non-constant curvature, in contrast to most of the previous situations where only constant cu
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Luciano Floridi’s Philosophy of Technologyscretized. Standard methods for these problems, such as central finite differences, lead to system matrices that are positive definite. The direct solvers of choice for such systems are based on Cholesky factorisation. However, as observed in MacLachlan and Madden (SIAM J Sci Comput 35:A2225–A2254,
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Levels of Abstraction and Moralityransformation is introduced to align the grid to the location of the interior layer. A numerical method consisting of an upwinded finite difference operator and a piecewise-uniform Shishkin mesh is constructed in this transformed domain. Numerical results are presented which indicate that the numeri
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Content Net Neutrality – A Critiqueth discontinuous source term. The leading term of each equation is multiplied by a small positive parameter. These singular perturbation parameters are assumed to be distinct in magnitude. Overlapping boundary and interior layers can appear in the solution. A numerical method is constructed that inv
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Peacemaking, Peacekeeping, and Peacebuildingth a non-vanishing right-hand side does not lead to satisfactory results in the boundary layer region. It is proved that it is not possible to construct an AFC scheme of the type considered for which the solution is accurate in the whole computational domain for any convection–diffusion problem with non-vanishing right-hand side.
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https://doi.org/10.1007/978-3-030-40208-2 finite elements. We change the convective vector in the SUPG stabilizing term and adjust the triangulation so that the discrete maximum principle is satisfied. Then the error analysis is performed and the method is tested on several numerical examples.
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