Schwarz algorithm for the solution of variational inequalities with nonlinear source terms
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Publication:1294359
DOI10.1016/S0096-3003(97)10129-1zbMath0943.65074MaRDI QIDQ1294359
Publication date: 5 September 2000
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
algorithmsconvergencevariational inequalitydomain decompositionfinite elementiterative methodsnonlinear source termsdiscrete obstacle problems
Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15)
Related Items (17)
A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms ⋮ Overlapping domain decomposition method for a noncoercive system of quasi-variational inequalities related to the Hamilton-Jacobi-Bellman equation ⋮ Overlapping domain decomposition methods for elliptic quasi-variational inequalities related to impulse control problem with mixed boundary conditions ⋮ Error estimates of the lumped mass finite element method for semilinear elliptic problems ⋮ Numerical solutions to nonsmooth Dirichlet problems based on lumped mass finite element discretization ⋮ On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators ⋮ Block monotone iterative algorithms for variational inequalities with nonlinear operators ⋮ Weighted max-norm estimate of additive schwarz methods for solving nonlinear complementarity problems ⋮ Two-level Schwarz method for solving variational inequality with nonlinear source terms ⋮ Schwarz methods for inequalities with contraction operators ⋮ A domain decomposition method for a kind of optimization problems ⋮ Domain decomposition method for a parabolic variational inequality ⋮ Convergence analysis of generalized Schwarz algorithms for solving obstacle problems with \(T\)-monotone operator ⋮ An \(L^{\infty}\)-error estimate for finite element solution of nonlinear elliptic problem with a source term ⋮ Block monotone iterative methods for elliptic variational inequalities. ⋮ Monotonic iterative algorithms for an implicit two-sided obstacle problem. ⋮ Finite algorithms for the numerical solutions of a class of nonlinear complementarity problems
Cites Work
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- Free boundary problems with nonlinear source terms
- A parallel Schwarz algorithm for variational inequalities
- The alternating Schwarz method applied to some biharmonic variational inequalities
- On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems
- Iterative methods for variational and complementarity problems
- Two-level Schwarz method for unilateral variational inequalities
- On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems
- Parallel solutions of variational inequality problems with nonlinear source terms
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