Contraction and optimality properties of adaptive Legendre-Galerkin methods: the one-dimensional case

DOI10.1016/j.camwa.2013.05.025zbMath1350.65118arXiv1206.5524OpenAlexW4249401299MaRDI QIDQ316551

Marco Verani, Ricardo H. Nochetto, Claudio Canuto

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5524

zbMATH Keywords

algorithmconvergenceconsistencyadaptivityelliptic boundary value problemsspectral methodsFourier-Galerkin methodsLegendre-Galerkin methodsoptimal cardinality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Editorial: High-order finite element approximation for partial differential equations ⋮ Convergence and optimality of \({\mathbf {hp}}\)-\textbf{AFEM} ⋮ High-Order Adaptive Galerkin Methods ⋮ Adaptive Spectral Galerkin Methods with Dynamic Marking ⋮ Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case

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