Improved discretization error estimates for first-order system least squares

DOI10.1515/156939503766614153zbMath1044.65078OpenAlexW2038538495MaRDI QIDQ4454895

Christoph Pflaum, Stephen F. McCormick, Thomas A. Manteuffel

Publication date: 8 March 2004

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

Full work available at URL: https://doi.org/10.1515/156939503766614153

zbMATH Keywords

convergenceDirichlet problemfinite elementserror boundsPoisson equationcontinuation methodsleast squares discretization

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Nested Iteration and First-Order Systems Least Squares for a Two-Fluid Electromagnetic Darwin Model ⋮ FOSLL* for Nonlinear Partial Differential Equations ⋮ 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 ⋮ Weak coupling of solutions of first-order least-squares method

Cites Work

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• A least-squares finite element method for the Helmholtz equation
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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