Efficient Solvers for Saddle-Point Problems Arising from Domain Decompositions with Lagrange Multipliers

DOI10.1137/S0036142902404108zbMath1083.65112OpenAlexW2007648060MaRDI QIDQ4653891

Qiya Hu, Zhong-Ci Shi, De-Hao Yu

Publication date: 1 March 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142902404108

zbMATH Keywords

Lagrange multipliernumerical examplesSchur complementdomain decompositioncondition numberpreconditionernonmatching gridsmortar elementthree-dimensional elliptic problemsweighted saddle point problem

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (7)

Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems ⋮ New preconditioning techniques for saddle point problems arising from the time-harmonic Maxwell equations ⋮ A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions ⋮ New preconditioners for nonsymmetric saddle point systems with singular \((1,1)\) block ⋮ Substructuring Preconditioners for the Systems Arising from Plane Wave Discretization of Helmholtz Equations ⋮ Parallel finite element simulations of incompressible viscous fluid flow by domain decomposition with Lagrange multipliers ⋮ A wavelets method for plane elasticity problem

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