Sharp $L_2$-Norm Error Estimates for First-Order div Least-Squares Methods

DOI10.1137/100792470zbMath1228.65215OpenAlexW2019363959MaRDI QIDQ3091823

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/10.1137/100792470

zbMATH Keywords

first-order systemleast-squares methoderror estimatesfinite element methods

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for linear first-order PDEs (35F15)

Related Items (9)

Localized pointwise error estimates for hybrid finite element methods ⋮ A Dual Finite Element Method for a Singularly Perturbed Reaction-Diffusion Problem ⋮ Least-squares solutions as solutions of a perturbation form of the Galerkin methods: interior pointwise error estimates and pollution effect ⋮ Superconvergence of least-squares methods for a coupled system of elliptic equations ⋮ Supercloseness of the mixed finite element method for the primary function on unstructured meshes and its applications ⋮ Numerical solutions for nonlinear elliptic problems based on first-order system ⋮ Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global \(L_2\) norm ⋮ Local error estimates for least-squares finite element methods for first-order system ⋮ MINRES for Second-Order PDEs with Singular Data

This page was built for publication: Sharp $L_2$-Norm Error Estimates for First-Order div Least-Squares Methods