A posteriori error estimators for the first-order least-squares finite element method

DOI10.1016/j.cam.2010.06.004zbMath1203.65231OpenAlexW1988190368MaRDI QIDQ711253

Eun-Jae Park, JaEun Ku

Publication date: 25 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.06.004

zbMATH Keywords

numerical experimentsadaptive mesh refinementfinite element methodsleast square methoda posteriori error estimators

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

A posteriori error estimates for the primary and dual variables for the div first-order least-squares finite element method ⋮ Goal-oriented error estimation for the automatic variationally stable FE method for convection-dominated diffusion problems ⋮ Local error estimates for least-squares finite element methods for first-order system ⋮ An a posteriori error estimator based on least-squares finite element solutions for viscoelastic fluid flows

Cites Work

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• Local error estimation and adaptive remeshing scheme for least-squares mixed finite elements
• Local error estimates and adaptive refinement for first-order system least squares (FOSLS)
• Adaptive finite element methods with convergence rates
• Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates
• Least-quares for second-order elliptic problems
• A posteriori error estimate for the mixed finite element method
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Weak coupling of solutions of first-order least-squares method
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• Least Squares Methods for Elliptic Systems
• Error Estimates for Adaptive Finite Element Computations
• 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
• First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
• A Posteriori Least-Squares Finite Element Error Analysis for the Navier–Stokes Equations
• Convergence of Adaptive Finite Element Methods
• A Convergent Adaptive Algorithm for Poisson’s Equation
• An Adaptive Least‐Squares Mixed Finite Element Method for Elasto‐Plasticity
• The $L^2$ Norm Error Estimates for the Div Least‐Squares Method