Uniform convergence and preconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems

DOI10.1016/S0045-7825(99)00409-0zbMath0972.65080OpenAlexW2080481474MaRDI QIDQ1587963

Jinru Chen, Jian-Guo Huang, Li-Kang Li

Publication date: 19 March 2001

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00409-0

zbMATH Keywords

Dirichlet problemlinear elliptic equationadditive Schwarz methodadditive Schwarz preconditionerscorrect elliptic problemsmortar mixed element methodsnonselfadjoint and indefinite problems

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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (4)

Mortar upwind finite volume element method for convection diffusion problems ⋮ Uniform convergence of finite volume element method with Crouzeix-Raviart element for non-self-adjoint and indefinite elliptic problems ⋮ Mortar finite volume element method with Crouzeix-Raviart element for parabolic problems ⋮ The mortar finite volume method with the Crouzeix--Raviart element for elliptic problems

Cites Work

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• A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids
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• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The Generalized Patch Test
• Mixed and Hybrid Finite Element Methods
• Multigrid Algorithms for Nonconforming and Mixed Methods for Nonsymmetric and Indefinite Problems
• Element-oriented and edge-oriented local error estimators for nonconforming finite element methods
• Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions

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