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

DOI10.1016/j.camwa.2020.12.005OpenAlexW3120295858MaRDI QIDQ2034904

Carsten Carstensen, Rui Ma

Publication date: 23 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.12.005

zbMATH Keywords

finite element methodadaptivityleast-squaresoptimal convergence rateshigher orderaxioms of adaptivity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (3)

Nonstandard finite element methods. Abstracts from the workshop held January 10--16, 2021 (hybrid meeting) ⋮ How to prove optimal convergence rates for adaptive least-squares finite element methods ⋮ Editorial: Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods

Cites Work

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• A posteriori error estimates for Maxwell equations
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• Finite Elements

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