Least-squares finite element for second order boundary value problem with optimal rates of convergence

DOI10.1016/0096-3003(95)00164-6zbMath0846.65059OpenAlexW2020930262MaRDI QIDQ1914671

Ching-Lung Chang

Publication date: 26 September 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00164-6

zbMATH Keywords

convergencenumerical examplesfinite elementleast squares methodhybrid methodsmixed methodscomatiability condition

Mathematics Subject Classification ID

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) Boundary value problems for linear first-order PDEs (35F15)

Related Items

Least-squares finite element methods for the elasticity problem ⋮ Analysis of least squares finite element methods for a parameter-dependent first-order system^* ⋮ A unified analysis of a weighted least squares method for first-order systems

Cites Work

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• Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems
• Mixed-hybrid finite element approximations of second-order elliptic boundary value problems. Part 2: Weak-hybrid methods
• The Lagrange Multiplier Method for Dirichlet's Problem
• Finite Element Approximation for Grad-Div Type Systems in the Plane
• On Mixed Finite Element Approximations
• Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
• Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II