Convergence Rate of a Schwarz Multilevel Method for the Constrained Minimization of Nonquadratic Functionals

DOI10.1137/S003614290342995XzbMath1117.65098MaRDI QIDQ5470965

Lori Badea

Publication date: 2 June 2006

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

zbMATH Keywords

convergencevariational inequalitiesfinite element methodsdomain decomposition methodsBanach spaceSchwarz methodnonlinear obstacle problemsmultigrid and multilevel methodssubspace correction methodnonquadratic minimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15) Existence theories for problems in abstract spaces (49J27) Decomposition methods (49M27)

Related Items (12)

Additive Schwarz methods for convex optimization with backtracking ⋮ Global Convergence Rates of Some Multilevel Methods for Variational and Quasi-Variational Inequalities ⋮ Internal and subspace correction approximations of implicit variational inequalities ⋮ Accelerated additive Schwarz methods for convex optimization with adaptive restart ⋮ A Multilevel Correction Method for Optimal Controls of Elliptic Equations ⋮ Additive Schwarz Methods for Convex Optimization as Gradient Methods ⋮ One- and two-level Schwarz methods for variational inequalities of the second kind and their application to frictional contact ⋮ Schwarz method for dual contact problems ⋮ Schwarz methods for inequalities with contraction operators ⋮ Additive and restricted additive Schwarz-Richardson methods for inequalities with nonlinear monotone operators ⋮ A strongly convergent primal-dual method for nonoverlapping domain decomposition ⋮ RECENT ADVANCES IN DOMAIN DECOMPOSITION METHODS FOR TOTAL VARIATION MINIMIZATION

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