Additive Schwarz preconditioners for the obstacle problem of clamped Kirchhoff plates
DOI10.1553/etna_vol49s274zbMath1408.65084arXiv1809.06311OpenAlexW2963936030WikidataQ128559870 ScholiaQ128559870MaRDI QIDQ1716842
Publication date: 5 February 2019
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.06311
partition of unityadditive Schwarzfourth-order variational inequalitydisplacement obstacle problem for clamped Kirchhoff plates
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
- Meshfree particle methods for thin plates
- A partition of unity method with penalty for fourth order problems
- Domain decomposition methods for the numerical solution of partial differential equations
- On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators
- The piecewise polynomial partition of unity functions for the generalized finite element methods
- The partition of unity finite element method: basic theory and applications
- Primal-dual strategy for state-constrained optimal control problems
- Rate of convergence for some constraint decomposition methods for nonlinear variational inequalities
- A two-level additive Schwarz preconditioner for nonconforming plate elements
- The alternating Schwarz method applied to some biharmonic variational inequalities
- One- and two-level Schwarz methods for variational inequalities of the second kind and their application to frictional contact
- A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates
- Multiple-Rank Modifications of a Sparse Cholesky Factorization
- Global and uniform convergence of subspace correction methods for some convex optimization problems
- A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
- Two Domain Decomposition Methods for Auxiliary Linear Problems of a Multibody Elliptic Variational Inequality
- Lagrange Multiplier Approach to Variational Problems and Applications
- Modifying a Sparse Cholesky Factorization
- Primal-Dual Strategy for Constrained Optimal Control Problems
- On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities
- Survey of meshless and generalized finite element methods: A unified approach
- An additive Schwarz method for variational inequalities
- An Introduction to Variational Inequalities and Their Applications
- Convergence rate analysis of an asynchronous space decomposition method for convex Minimization
- A Two-Level Additive Schwarz Domain Decomposition Preconditioner for a Flat-Top Partition of Unity Method
- Row Modifications of a Sparse Cholesky Factorization
- The Mathematical Theory of Finite Element Methods
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