Multilevel preconditioning for the boundary concentrated \(hp\)-FEM

DOI10.1016/j.cma.2006.10.034zbMath1173.65355OpenAlexW2019341300MaRDI QIDQ1033387

J. M. Melenk, T. Eibner

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.10.034

zbMATH Keywords

\(hp\)-FEMmultilevel preconditioning

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

A posteriori boundary layer detection and resolution in \textit{hpq}-adaptive finite element methods for 3D-based hierarchical plate and shell models

Cites Work

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• Multilevel preconditioning
• A basic norm equivalence for the theory of multilevel methods
• Multilevel Schwarz methods
• Coarse grid spaces for domains with a complicated boundary
• An efficient direct solver for the boundary concentrated FEM in 2D
• Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes
• A local error analysis of the boundary-concentrated hp-FEM
• Parallel Multilevel Preconditioners
• Primal and Dual Interface Concentrated Iterative Substructuring Methods
• Boundary Concentrated Finite Element Methods
• Efficient iterative solvers for elliptic finite element problems on nonmatching grids
• Additive Schwarz preconditioning for p-version triangular and tetrahedral finite elements
• On condition numbers in \(hp\)-FEM with Gauss-Lobatto-based shape functions

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