Preconditioned Nonlinear Iterations for Overlapping Chebyshev Discretizations with Independent Grids

DOI10.1137/19M1242483zbMath1452.65384arXiv1902.01310MaRDI QIDQ5132035

Kevin W. Aiton, Tobin A. Driscoll

Publication date: 9 November 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01310

zbMATH Keywords

domain decompositionpartition of unitypolynomial interpolationadditive Schwarz

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical interpolation (65D05) Parallel numerical computation (65Y05) Numerical approximation and evaluation of special functions (33F05) Preconditioners for iterative methods (65F08) Numerical analysis (educational aspects) (97N40)

Related Items (1)

Adaptive partition of unity interpolation method with moving patches

Cites Work

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• Numerical simulation of the regularized driven cavity flows at high Reynolds numbers
• Schwarz methods over the course of time
• Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method
• Multigrid Techniques
• An Introduction to Domain Decomposition Methods
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• Nonlinearly Preconditioned Inexact Newton Algorithms
• Choosing the Forcing Terms in an Inexact Newton Method
• An Adaptive Partition of Unity Method for Multivariate Chebyshev Polynomial Approximations

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