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

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1439-7358 e provide an overview of the latest research into the theory and numerical approximation of problems involving boundary and interior layers...978-3-030-41802-1978-3-030-41800-7Series ISSN 1439-7358 Series E-ISSN 2197-7100

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Óscar Mealha,Mihai Dascalu,Tania Di Masciores layers, what are resolved on an appropriate piecewise uniform mesh of Shishkin type. We show that the method is uniformly convergent of first order in time and of almost second order in space. Numerical results are presented to corroborate the theoretical results.

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A Linearly Implicit Splitting Method for Solving Time Dependent Semilinear Reaction-Diffusion Systeres layers, what are resolved on an appropriate piecewise uniform mesh of Shishkin type. We show that the method is uniformly convergent of first order in time and of almost second order in space. Numerical results are presented to corroborate the theoretical results.

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Centred Splash of a Vertical Jet on a Horizontal Rotating Disc: Recent Findings and Resolving Contr the thin film and its interplay with a finitely remote disc edge. The latter upstream influence explains the phenomenon of the hydraulic jump in developed flow. The clarification of long-standing and more recent controversies around this concludes the analysis.

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Automatic Variationally Stable Analysis for FE Computations: An Introduction,s in least squares FE methods), while the test functions are piecewise discontinuous. To ensure the numerical stability of the subsequent FE discretizations, we apply the philosophy of the discontinuous Petrov-Galerkin (DPG) method by Demkowicz and Gopalakrishnan (Comput Methods Appl Mech Eng 199(23

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Smart Innovation, Systems and Technologiess in least squares FE methods), while the test functions are piecewise discontinuous. To ensure the numerical stability of the subsequent FE discretizations, we apply the philosophy of the discontinuous Petrov-Galerkin (DPG) method by Demkowicz and Gopalakrishnan (Comput Methods Appl Mech Eng 199(23

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https://doi.org/10.1007/978-981-16-3930-2 The definition and implementation of such constrained space configurations are possible due to an available hierarchy of vector shape functions for classic polynomial spaces of arbitrary degree defined on usual master elements.