Search Results - "Neumann-Neumann algorithm"

New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann–Neumann Algorithms: New time domain decomposition methods for parabolic optimal control problems. II: Neumann-Neumann algorithms

Authors: Martin J. Gander Liu-Di Lu

Source: SIAM Journal on Numerical Analysis. 62:2588-2610

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Controllability, parallel in time, time domain decomposition, 65M12, 65M55, 65Y05, Parallel numerical computation, parabolic optimal control problems, Numerical Analysis (math.NA), PDE constrained optimization (numerical aspects), 01 natural sciences, convergence analysis, Neumann-Neumann algorithm, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Optimization and Control (math.OC), Approximation by arbitrary linear expressions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Optimization and Control

File Description: application/xml

Access URL: http://arxiv.org/abs/2401.15522
https://zbmath.org/7957568
https://doi.org/10.1137/24m1634424

A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients

Authors: Maksymilian Dryja

Source: Numerische Mathematik. 99:645-656

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, PDEs with low regular coefficients and/or low regular data, Neumann-Neumann algorithm, convergence, Boundary value problems for second-order elliptic equations, mortar finite element, additive Schwarz methods, Parallel numerical computation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, parallel computation, discontinuous coefficients, 01 natural sciences

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Access URL: https://zbmath.org/2155990
https://doi.org/10.1007/s00211-004-0573-2
https://link.springer.com/content/pdf/10.1007%2Fs00211-004-0573-2.pdf
https://link.springer.com/article/10.1007%2Fs00211-004-0573-2