Nested dyadic grids associated with Legendre-Gauss-Lobatto grids

DOI10.1007/s00211-014-0691-4zbMath1331.33014arXiv1311.0028OpenAlexW2034156328MaRDI QIDQ495536

Wolfgang Dahmen, Claudio Canuto, Kolja Brix

Publication date: 14 September 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0028

zbMATH Keywords

Legendre-Gauss-Lobatto gridsnested dyadic grids

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

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Cites Work

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• Convexity of the zeros of some orthogonal polynomials and related functions
• Stabilization of spectral methods by finite element bubble functions
• The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids
• Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees
• Multilevel preconditioning of discontinuous Galerkin spectral element methods. Part I: geometrically conforming meshes
• Some Consequences of the Sturm Comparison Theorem
• Preconditioners for nonconforming discretizations
• Spectral Methods

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