Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I
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Publication:5346011
DOI10.1137/16M1065215zbMath1366.65111OpenAlexW2619687587MaRDI QIDQ5346011
Martin J. Gander, Gabriele Ciaramella
Publication date: 8 June 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1065215
algorithmconvergenceSchwarz methodsdomain decomposition methodselectrostaticelliptic PDEchain of atomsCOSMO solvation model
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Cites Work
- Schwarz methods over the course of time
- Normal matrices
- Characterization of the subdifferential of some matrix norms
- Refinements of necessary optimality conditions in nondifferentiable programming. I
- Optimization and dynamical systems
- Optimized Schwarz methods with an overset grid for the shallow-water equations: Preliminary results
- Optimized Schwarz Methods for Maxwell's Equations
- A New Approach to Lagrange Multipliers
- Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- Convergence of a Multiple Reflection Method for Calculating Stokes Flow in a Suspension
- Optimized Schwarz Methods
- Optimization
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