Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems

DOI10.1016/S0045-7825(98)00251-5zbMath0941.65124MaRDI QIDQ1971276

Jinru Chen, Li-Kang Li

Publication date: 20 July 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergenceerror estimatesdomain decompositionsecond-order elliptic problemsnonconforming and mixed finite element methods

Mathematics Subject Classification ID

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

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Cites Work

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• Preconditioning projection nonconforming element method for the lowest-order Raviart-Thomas mixed triangular element method
• Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Mixed and Hybrid Finite Element Methods
• On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
• Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions
• Domain decomposition algorithms for mixed methods for second-order elliptic problems