Domain decomposition for a least-square finite element method for second order elliptic problem

DOI10.1016/S0096-3003(97)10014-5zbMath0942.65136MaRDI QIDQ1294139

Xiu Ye

Publication date: 24 August 2000

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

zbMATH Keywords

convergencedomain decompositionsecond-order elliptic problemsleast squares mixed finite element discretization

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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)

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Error estimate and adaptive refinement in mixed discrete least squares meshless method ⋮ Mixed discrete least squares meshless method for planar elasticity problems using regular and irregular nodal distributions ⋮ Domain decomposition for least-squares finite element methods for the Stokes equations

Cites Work

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• The finite element method with Lagrangian multipliers
• A least-square mixed method for Stokes equations
• Some Estimates for a Weighted L 2 Projection
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Analysis of the Schwarz algorithm for mixed finite elements methods
• Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• Domain Decomposition for a Mixed Finite Element Method in Three Dimensions
• Convergence studies of least‐squares finite elements for first‐order systems