Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem

DOI10.1155/ADE/2006/85807zbMath1133.65038WikidataQ59212798 ScholiaQ59212798MaRDI QIDQ2491461

Samira Saadi, Messaoud Boulbrachene

Publication date: 29 May 2006

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53913

zbMATH Keywords

convergencediscrete maximum principleoverlapping Schwarz methodsecond-order elliptic obstacle problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (7)

The Maximum Norm Analysis of Schwarz Method for Elliptic Quasi-Variational Inequalities ⋮ A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms ⋮ Maximum norm analysis of a nonmatching grids method for a class of variational inequalities with nonlinear source terms ⋮ Overlapping domain decomposition methods for elliptic quasi-variational inequalities related to impulse control problem with mixed boundary conditions ⋮ \(L^{\infty}\)-error estimate of a generalized parallel Schwarz algorithm for elliptic quasi-variational inequalities related to impulse control problem ⋮ Maximum norm analysis of a nonmatching grids method for nonlinear elliptic PDEs ⋮ Mixing finite elements and finite differences in nonlinear Schwarz iterations for nonlinear elliptic pdes

Cites Work

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• On finite element approximation in the \(L^{\infty}\)-norm of variational inequalities
• Maximum principle and uniform convergence for the finite element method
• On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems
• On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems
• Maximum Norm Analysis of Overlapping Nonmatching Grid Discretizations of Elliptic Equations
• Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids

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