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Neumann–Neumann methods

Known as: Neumann-Neumann method, Neumann-Neumann methods, Neumann–Neumann method 
In mathematics, Neumann–Neumann methods are domain decomposition preconditioners named so because they solve a Neumann problem on each subdomain on… 
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Related topics

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Broader (1)

Domain decomposition methods
List of numerical analysis topicsNeumann–Dirichlet methodPreconditionerSchur complement method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2018
Review
2018
On the Scalability of Classical One-Level Domain-Decomposition Methods
One-level domain-decomposition methods are in general not scalable, and coarse corrections are needed to obtain scalability. It… 
2014
2014
Convergence analysis of substructuring Waveform Relaxation methods for space-time problems and their application to Optimal Control Problems
This thesis contributes to develop a new class of methods for the numerical solution of partial differential equations (PDEs… 
2012
2012
Neumann‐Neumann methods for a DG discretization on geometrically nonconforming substructures
A discontinuous Galerkin discretization for second order elliptic equations with discontinuous coefficients in 2D is considered… 
2012
2012
Balancing Neumann–Neumann methods for the cardiac Bidomain model
Balancing Neumann–Neumann preconditioners are constructed, analyzed and numerically studied for the cardiac Bidomain model in… 
2009
2009
NEUMANN-NEUMANN METHODS FOR A DG DISCRETIZATION OF ELLIPTIC PROBLEMS WITH DISCONTINUOUS COEFFICIENTS ON GEOMETRICALLY NONCONFORMING SUBSTRUCTURES
A discontinuous Galerkin discretization for second order elliptic equations with discontinuous coefficients in 2-D is considered… 
2009
2009
An Additive Neumann-Neumann Method for Mortar Finite Element for 4th Order Problems
In this paper, we present an additive Neumann-Neumann type parallel method for solving the system of algebraic equations arising… 
2003
2003
Balancing Neumann-Neumann Preconditioners for the Mixed Formulation of Almost-Incompressible Linear Elasticity
Balancing Neumann-Neumann methods are extended to the equations arising from the mixed formulation of almost-incompressible… 
2001
2001
17 A Neumann-Neumann method using a finite volume discretization
In this work, we present a non-overlapping domain decomposition method which is well adapted to the discretization of convection… 
Review
2001
Review
2001
Dual and dual-primal FETI methods for elliptic problems with discontinuous co-efficients in three dimensions
The Finite Element Tearing and Interconnecting (FETI) methods were first introduced by Farhat and Roux [FMR94]. An important… 
2000
2000
Building preconditioners for incompressible Stokes equations from saddle point solvers of smaller dimensions
Balancing Neumann-Neumann methods are introduced and studied for incompressible Stokes equations discretized with mixed finite or… 
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