An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element

DOI10.1090/S0025-5718-02-01410-2zbMath1020.65094MaRDI QIDQ4780364

Rob P. Stevenson

Publication date: 19 November 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

numerical resultspreconditioningcondition numberbiharmonic equationStokes equationsnonconforming finite elementsmulti-grid methodMorley finite element space

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Criteria for the approximation property for multigrid methods in nonnested spaces, Auxiliary space preconditioners for a \(C^0\) finite element approximation of Hamilton-Jacobi-Bellman equations with cordes coefficients, An optimal multilevel method with one smoothing step for the Morley element, A generalized BPX multigrid framework covering nonnested V-cycle methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Intergrid transfer operators and multilevel preconditioners for nonconforming discretizations
• Optimum algorithm for maximization of submodular functions
• On a hierarchical basis multilevel method with nonconforming P1 elements
• A multigrid method for nonconforming FE-discretisations with application to non-matching grids
• The analysis of intergrid transfer operators and multigrid methods for nonconforming finite elements
• Nonconforming finite elements and the cascadic multi-grid method
• Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems
• A Nonconforming Multigrid Method for the Stationary Stokes Equations
• Finite Element Methods for Navier-Stokes Equations
• An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements
• The Analysis of Smoothers for Multigrid Algorithms
• Convergence of nonconforming multigrid methods without full elliptic regularity
• Multigrid and multilevel methods for nonconforming 𝑄₁ elements
• The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms