A Nonlinear Domain Decomposition Technique for Scalar Elliptic PDEs

DOI10.1007/978-3-319-05789-7_84zbMath1382.65455OpenAlexW2292319599MaRDI QIDQ3133704

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Publication date: 5 February 2018

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05789-7_84

zbMATH Keywords

numerical examplepreconditionernonlinear elliptic equationsNewton-Krylov methodnonlinear domain decomposition algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear elliptic equations (35J60) Preconditioners for iterative methods (65F08)

Related Items (1)

Constraint Interface Preconditioning for Topology Optimization Problems

Cites Work

• Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation
• Nonlinear localization strategies for domain decomposition methods: application to post-buckling analyses
• A Note on Preconditioning Nonsymmetric Matrices
• Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
• Discrete Interpolation Norms with Applications
• Inexact Newton Methods
• Distributed Schur Complement Techniques for General Sparse Linear Systems
• Nonlinearly Preconditioned Inexact Newton Algorithms

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