Collective marking for adaptive least-squares finite element methods with optimal rates

DOI10.1090/mcom/3474zbMath1426.65171OpenAlexW2954780357MaRDI QIDQ5235093

Carsten Carstensen

Publication date: 7 October 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3474

zbMATH Keywords

finite element methodadaptivitya priorileast squaresoptimal convergence ratesnonconformingadaptive mesh-refinementa posterioriaxioms of adaptivity

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (7)

Adaptive Least-Squares, Discontinuous Petrov-Galerkin, and Hybrid High-Order Methods ⋮ How to prove optimal convergence rates for adaptive least-squares finite element methods ⋮ A short note on plain convergence of adaptive least-squares finite element methods ⋮ Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates ⋮ Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates ⋮ Further results on a space-time FOSLS formulation of parabolic PDEs ⋮ MINRES for Second-Order PDEs with Singular Data

Cites Work

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• Mixed Finite Element Methods and Applications
• The completion of locally refined simplicial partitions created by bisection
• The Mathematical Theory of Finite Element Methods
• Finite Elements

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