Convergence analysis of the adaptive finite element method with the red-green refinement

DOI10.1007/s11425-009-0200-xzbMath1189.65276OpenAlexW2111438170MaRDI QIDQ963691

Jun Hu, Xuying Zhao, Zhong-Ci Shi

Publication date: 13 April 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0200-x

zbMATH Keywords

convergencefinite elementsadaptive algorithmlinear elliptic boundary value problemsquasi-orthogonalitylocal refinement strategies

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)

Error reduction of the adaptive conforming and nonconforming finite element methods with red-green refinement ⋮ Hierarchical Argyris finite element method for adaptive and multigrid algorithms ⋮ Partial relaxation of \(C^0\) vertex continuity of stresses of conforming mixed finite elements for the elasticity problem

Uses Software

• PLTMG

Cites Work

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• An optimally convergent adaptive mixed finite element method
• A new a posteriori error estimate for the Morley element
• Convergence analysis of an adaptive nonconforming finite element method
• Convergence and optimality of adaptive mixed finite element methods
• Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
• Error Estimates for Adaptive Finite Element Computations
• Data Oscillation and Convergence of Adaptive FEM
• Convergence of Adaptive Finite Element Methods
• A Convergent Adaptive Algorithm for Poisson’s Equation
• Error reduction and convergence for an adaptive mixed finite element method

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