Pointwise Error Estimates for First-Order div Least-Squares Finite Element Methods and Applications to Superconvergence and A Posteriori Error Estimators

DOI10.1137/090762191zbMath1228.65214OpenAlexW2069889335MaRDI QIDQ3091812

JaEun Ku

Publication date: 14 September 2011

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

Full work available at URL: https://doi.org/10.1137/090762191

zbMATH Keywords

Galerkin methodsuperconvergencea posteriori error estimatorssecond-order elliptic equationsleast-squares methodspointwise error estimates

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)

Related Items (3)

Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems ⋮ Least-squares solutions as solutions of a perturbation form of the Galerkin methods: interior pointwise error estimates and pollution effect ⋮ Local error estimates for least-squares finite element methods for first-order system

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