Titlebook: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014; Selected papers from Robert M. Kirby,Martin Berzins,Jan S

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Exploiting Superconvergence Through Smoothness-Increasing Accuracy-Conserving (SIAC) Filterings the highest degree polynomial used in the approximation, and can increase the smoothness to . − 1. In this article, we discuss the importance of overcoming the mathematical barriers in making superconvergence extraction techniques useful for applications, specifically focusing on SIAC filtering.

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Higher Order Accurate Solutions for Flow in a Cavity: Experiences and Lessons Learnedy with hybrid RANS/LES calculations. The results are compared to reference numerical results from a second order finite volume code as well as with experimental results with a good overall agreement between the results.

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Robert M. Kirby,Martin Berzins,Jan S. HesthavenIncludes supplementary material:

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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014978-3-319-19800-2Series ISSN 1439-7358 Series E-ISSN 2197-7100

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, Interior Penalty Galerkin Method for Biharmonic Eigenvalue Problemsupported plate and the Cahn-Hilliard type. We establish the convergence of the method and present numerical results to illustrate its performance. We also compare it with the Argyris .. finite element method, the Ciarlet-Raviart mixed finite element method, and the Morley nonconforming finite element method.

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Strong Stability Preserving Time Discretizations: A Reviewal solution of hyperbolic partial differential equations with discontinuous solutions. These methods preserve the monotonicity properties (in any norm, seminorm or convex functional) of the spatial discretization coupled with first order Euler time stepping. This review paper describes the state of the art in SSP methods.

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