Auxiliary Space Preconditioners for Mixed Finite Element Methods

DOI10.1007/978-3-642-02677-5_9zbMath1183.65151OpenAlexW76959974MaRDI QIDQ3403919

Ray S. Tuminaro, Yunrong Zhu, Jin-Chao Xu

Publication date: 5 February 2010

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-02677-5_9

zbMATH Keywords

algorithmsnumerical experimentsfinite elementpreconditionersecond order elliptic equationssaddle point problemnearly singular \({\mathbf H}(\text{div})\) system

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) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (6)

Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation ⋮ Mixed-Dimensional Auxiliary Space Preconditioners ⋮ Fast auxiliary space preconditioners for linear elasticity in mixed form ⋮ Algebraic multigrid techniques for discontinuous Galerkin methods with varying polynomial order ⋮ Continuous preconditioners for the mixed Poisson problem ⋮ Lumping Techniques for Mixed Finite Element Diffusion Discretizations

Uses Software

• ML

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