Adaptive Spectral Galerkin Methods with Dynamic Marking
DOI10.1137/15M104579XzbMath1457.65231arXiv1511.00233OpenAlexW2963273517MaRDI QIDQ2832140
Ricardo H. Nochetto, Rob P. Stevenson, Marco Verani, Claudio Canuto
Publication date: 7 November 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.00233
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Cites Work
- Unnamed Item
- Contraction and optimality properties of adaptive Legendre-Galerkin methods: the one-dimensional case
- Axioms of adaptivity
- Convergence and optimality of \({\mathbf {hp}}\)-\textbf{AFEM}
- Convergence of an adaptive \(hp\) finite element strategy in higher space-dimensions
- Adaptive finite element methods with convergence rates
- Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case
- Optimality of a standard adaptive finite element method
- Convergence of an adaptive \( hp\) finite element strategy in one space dimension
- High-Order Adaptive Galerkin Methods
- On the Numerical Analysis of Adaptive Spectral/hp Methods for Elliptic Problems
- An optimal adaptive wavelet method without coarsening of the iterands
- Theory of adaptive finite element methods: An introduction
- Adaptive wavelet methods for solving operator equations: An overview
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Data Oscillation and Convergence of Adaptive FEM
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- Adaptive Fourier-Galerkin methods
- Instance optimality of the adaptive maximum strategy
