Weak coupling of solutions of first-order least-squares method

DOI10.1090/S0025-5718-08-02062-0zbMath1195.65172OpenAlexW1996852051MaRDI QIDQ3577001

JaEun Ku

Publication date: 3 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02062-0

zbMATH Keywords

error boundsfinite element methodsleast-squaresnumerical experimentcoupling effectsecond-order self-adjoint elliptic problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

A posteriori error estimates for the primary and dual variables for the div first-order least-squares finite element method ⋮ 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 ⋮ Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global \(L_2\) norm ⋮ A posteriori error estimators for the first-order least-squares finite element method

Cites Work

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• Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• A least-squares approach based on a discrete minus one inner product for first order systems
• Improved discretization error estimates for first-order system least squares
• The $L^2$ Norm Error Estimates for the Div Least‐Squares Method

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