Near-best adaptive approximation on conforming meshes

DOI10.1007/s00365-022-09612-2OpenAlexW2998712087MaRDI QIDQ2700868

Peter Binev, Andreas Veeser, Francesca Fierro

Publication date: 27 April 2023

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13437

zbMATH Keywords

tree approximationnonlinear approximationconforming meshesh-refinementnear-best approximationadaptive approximation

Mathematics Subject Classification ID

Computational learning theory (68Q32) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multidimensional problems (41A63) Spline approximation (41A15) Algorithms for approximation of functions (65D15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Approximation algorithms (68W25)

Uses Software

• ALBERTA

Cites Work

• Unnamed Item
• Approximating gradients with continuous piecewise polynomial functions
• Convergence and quasi-optimality of an adaptive finite element method for controlling \(L_{2}\) errors
• Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM
• Fast computation in adaptive tree approximation
• Adaptive finite element methods with convergence rates
• Quasi-optimal nonconforming methods for second-order problems on domains with non-Lipschitz boundary
• Adaptive tree approximation with finite element functions: a first look
• Tree Approximation for hp-Adaptivity
• Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. II---Overconsistency and Classical Nonconforming Elements
• The completion of locally refined simplicial partitions created by bisection
• The Mathematical Theory of Finite Element Methods

This page was built for publication: Near-best adaptive approximation on conforming meshes