A Coarse Space to Remove the Logarithmic Dependency in Neumann–Neumann Methods

DOI10.1007/978-3-319-93873-8_13zbMath1443.65418OpenAlexW2908506852MaRDI QIDQ5114533

Martin J. Gander, Faycal Chaouqui, Kévin Santugini-Repiquet

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_13

zbMATH Keywords

domain decomposition methodslarge linear systemsiterative Neumann-Neumann algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Eigenvalues, singular values, and eigenvectors (15A18) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Substructured two-grid and multi-grid domain decomposition methods ⋮ Cross-points in the Dirichlet-Neumann method. I: Well-posedness and convergence issues ⋮ A Continuous Analysis of Neumann--Neumann Methods: Scalability and New Coarse Spaces

Cites Work

• Unnamed Item
• Unnamed Item
• An algebraic theory for primal and dual substructuring methods by constraints
• Optimal coarse spaces for FETI and their approximation
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• Deflation of Conjugate Gradients with Applications to Boundary Value Problems
• A New Coarse Grid Correction for RAS/AS
• Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
• Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-sized Subdomains: Part II
• Balancing domain decomposition for problems with large jumps in coefficients
• SHEM: An Optimal Coarse Space for RAS and Its Multiscale Approximation
• Convergence of a balancing domain decomposition by constraints and energy minimization
• Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I

This page was built for publication: A Coarse Space to Remove the Logarithmic Dependency in Neumann–Neumann Methods