Domain decomposition and Uzawa-type iterative method for elliptic variational inequality

DOI10.1134/S1995080217050353zbMath1380.65115OpenAlexW2755613308MaRDI QIDQ1682804

A. V. Lapin

Publication date: 6 December 2017

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

Full work available at URL: https://doi.org/10.1134/s1995080217050353

zbMATH Keywords

convergencefinite element methodvariational inequalitydomain decomposition methodparallel iterative algorithmconstrained saddle point problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Parallel numerical computation (65Y05) Decomposition methods (49M27) Numerical methods for variational inequalities and related problems (65K15)

Related Items (3)

Multilevel Uzawa and Arrow-Hurwicz algorithms for general saddle point problems ⋮ Uzawa-type iterative solution methods for constrained saddle point problems ⋮ Efficient iterative method for solving optimal control problem governed by diffusion equation with time fractional derivative

Cites Work

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• A Dirichlet-Neumann type algorithm for contact problems with friction.
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• Rate of convergence for some constraint decomposition methods for nonlinear variational inequalities
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• Easily implementable iterative methods for variational inequalities with nonlinear diffusion-convection operator and constraints to the gradient of solution
• A Non Overlapping Domain Decomposition Method for the Obstacle Problem
• A Domain Decomposition Algorithm for Contact Problems with Coulomb’s Friction
• A nonoverlapping domain decomposition method for variational inequalities derived from free boundary problems
• On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems
• An additive Schwarz method for variational inequalities
• Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law
• Iterative methods and parallel solution of the dam problem
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