Domain decomposition methods of dual-primal FETI type for edge element approximations in three dimensions

DOI10.1016/j.crma.2004.09.021zbMath1061.65138OpenAlexW1988127717MaRDI QIDQ1763518

Andrea Toselli

Publication date: 22 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.09.021

zbMATH Keywords

numerical resultspreconditioningcondition numberdomain decomposition algorithmsedge element approximationsFETI algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Numerical computation of matrix norms, conditioning, scaling (65F35)

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A domain decomposition method for concurrent coupling of multiscale models ⋮ A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations ⋮ Enhanced balancing Neumann-Neumann preconditioning in computational fluid and solid mechanics ⋮ Unnamed Item ⋮ Implementation of an advanced fixed sectional aerosol dynamics model with soot aggregate formation in a laminar methane/air coflow diffusion flame ⋮ Application of domain decomposition methods to indoor air flow simulation ⋮ Overlapping domain decomposition methods for linear inverse problems ⋮ Basics and some applications of the mortar element method ⋮ Domain decomposition of stochastic PDEs: Theoretical formulations ⋮ Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system

Uses Software

• Salinas

Cites Work

• Mixed finite elements in \(\mathbb{R}^3\)
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
• Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
• Finite Element Methods for Maxwell's Equations
• Dual-Primal FETI Algorithms for Edge Element Approximations: Two-Dimensional H And P Finite Elements on Shape-Regular Meshes

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