On the convergence of nonnested multigrid methods with nested spaces on coarse grids

DOI<265::AID-NUM1>3.0.CO;2-8 10.1002/(SICI)1098-2426(200005)16:3<265::AID-NUM1>3.0.CO;2-8zbMath0974.65099OpenAlexW2075755912MaRDI QIDQ4952857

Zhang-Xin Chen

Publication date: 29 November 2001

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(200005)16:3<265::aid-num1>3.0.co;2-8

zbMATH Keywords

convergencemultigrid methodsMorley elementnonconforming finite elementsWilson elementAdini element2nd and 4th order elliptic problemsnonnested finite element spaces

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items

A generalized BPX multigrid framework covering nonnested V-cycle methods

Cites Work

• Unnamed Item
• Unnamed Item
• Projection finite element methods for semiconductor device equations
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• Simple nonconforming quadrilateral Stokes element
• Analysis of mixed methods using conforming and nonconforming finite element methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Piecewise Quadratic Approximations on Triangles
• An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
• Multigrid and multilevel methods for nonconforming 𝑄₁ elements
• Multigrid Algorithms for Nonconforming and Mixed Methods for Nonsymmetric and Indefinite Problems
• Two-level additive Schwarz preconditioners for nonconforming finite element methods
• Preconditioners for nonconforming discretizations