Axioms of Adaptivity with Separate Marking for Data Resolution

DOI10.1137/16M1068050zbMath1377.65147OpenAlexW2765080741MaRDI QIDQ4591219

Hella Rabus, Carsten Carstensen

Publication date: 13 November 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1068050

zbMATH Keywords

finite element methodadaptivitymixed finite element methoderror estimatoradaptive mesh-refiningoptimal convergenceleast squares finite element methodnonstandard finite element method

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)

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Cites Work

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• An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates
• Mixed Finite Element Methods and Applications
• The completion of locally refined simplicial partitions created by bisection
• The norm of a discretized gradient in \(H(\mathrm{div})^*\) for a posteriori finite element error analysis

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