A black-box multigrid preconditioner for the biharmonic equation

DOI10.1023/B:BITN.0000025094.68655.c7zbMath1053.65092MaRDI QIDQ1826456

David J. Silvester, Milan D. Mihajlović

Publication date: 6 August 2004

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

comparison of methodsnumerical examplespreconditioningbiharmonic equationLaplace equationmesh refinementcondition numbersmixed finite elementsaddle point systemsmultigrid V-cycles

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for higher-order elliptic equations (35J40) 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

HSL_MI20 : An efficient AMG preconditioner for finite element problems in 3D ⋮ Robust multigrid preconditioners for the high-contrast biharmonic plate equation ⋮ A mixed finite element method for the biharmonic problem using biorthogonal or quasi-biorthogonal systems ⋮ On gradient-type optimization method utilizing mixed finite element approximation for optimal boundary control problem governed by bi-harmonic equation ⋮ Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems ⋮ A parallel implementation of a mixed-hybrid finite element method for anisotropic plate bending problems ⋮ Preconditioning a class of fourth order problems by operator splitting ⋮ Natural Preconditioning and Iterative Methods for Saddle Point Systems ⋮ The Ciarlet--Raviart Method for Biharmonic Problems on General Polygonal Domains: Mapping Properties and Preconditioning ⋮ An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution