On the Accuracy of the Inner Newton Iteration in Nonlinear Domain Decomposition

DOI10.1007/978-3-319-93873-8_41zbMath1450.65170OpenAlexW2907661755MaRDI QIDQ5114561

Matthias Uran, Oliver Rheinbach, Axel Klawonn, Martin Lanser

Publication date: 24 June 2020

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

Full work available at URL: https://doi.org/10.1007/978-3-319-93873-8_41

zbMATH Keywords

nonlinear domain decompositioninner Newton iterationnonlinear preconditioner, dual-primal finite element tearing and interconnecting (FETI-DG) method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) 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)

Cites Work

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• Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results
• Choosing the Forcing Terms in an Inexact Newton Method
• An Analysis of Approximate Nonlinear Elimination
• New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables