Preconditioning projection nonconforming element method for the lowest-order Raviart-Thomas mixed triangular element method

DOI10.1016/S0096-3003(97)10112-6zbMath0943.65129MaRDI QIDQ1294418

Jinru Chen, Li-Kang Li

Publication date: 5 September 2000

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

zbMATH Keywords

finite element methodpreconditioningsecond-order elliptic operatormixed element\(V\)-cycle multigridprojection nonconforming element

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems, Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems, Multigrid method and multilevel additive preconditioner for mixed element method for non-self-adjoint and indefinite problems

Cites Work

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• Preconditioning isoparametric finite element methods taking into account numerical integration
• Preconditioning second-order elliptic operators: Condition numbers and the distribution of the singular values
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• The Analysis of Multigrid Algorithms for Nonsymmetric and Indefinite Elliptic Problems
• The Generalized Patch Test
• Domain Decomposition Algorithms for Indefinite Elliptic Problems
• A Multigrid Algorithm for the Lowest-Order Raviart–Thomas Mixed Triangular Finite Element Method
• Preconditioning Nonconforming Finite Element Methods
• On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
• Domain decomposition algorithms for mixed methods for second-order elliptic problems
• A minimal stabilisation procedure for mixed finite element methods