Schwarz Methods
Why Classical Schwarz Methods Applied to Certain Hyperbolic Systems Can Converge even Without Overlap
... classical Schwarz method to be con- vergent when solving elliptic ...classical Schwarz method can be convergent even without ...classical Schwarz method without overlap applied to the Cauchy-Riemann ...
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Schwarz Methods for Second Order Maxwell Equations in 3D with Coefficient Jumps
... 4. Despr´es, B., Joly, P., Roberts, J.: A domain decomposition method for the harmonic Maxwell equations. In: Iterative methods in linear algebra, pp. 475–484. North-Holland, Amsterdam (1992) 5. Dolean, V., El ...
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Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell equations
... optimized Schwarz methods when discretized using DG, and to compare with the theoretical convergence factors shown in Table ...the Schwarz methods as preconditioners for a Krylov method, which ...
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Optimized Schwarz methods for the time-harmonic Maxwell equations with damping
... optimized Schwarz algorithms are ...optimized Schwarz methods in all detail, and asymptotic results are given for all optimized Schwarz algorithms considered in this ...
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Optimized Schwarz Methods for Maxwell Equations with Discontinuous Coefficients
... optimized Schwarz methods for the Helmholtz equation [2, 3, 4, 12, 14], extensions to the more difficult case of Maxwell’s equations were developed: for curl-curl formulations, see ...optimized ...
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Boundary integral multi-trace formulations and Optimised Schwarz Methods
... mised Schwarz Methods and local Multi-Trace formulations solved by a block Jacobi strat- ...Optimised Schwarz Method also converges in nite number of steps related to the depth of the adjacency ...
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Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations
... 2.3 Convergence Factor at the Continuous Level The convergence proof by energy estimates from Theorem 2.2 does not tell us anything about how to choose the parameters p and q to obtain fast conver- gence. In order to ...
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Optimized Schwarz Methods for curl-curl time-harmonic Maxwell's equations
... iterative methods. Domain decomposition methods are currently most promising: following the first provably convergent method in [4], various optimized Schwarz methods were developed over the ...
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Optimized Schwarz Methods for Maxwell's Equations with Non-Zero Electric Conductivity
... optimized Schwarz methods for Maxwell’s equations started with the Helmholtz equation, see [3, 4, 2, ...optimized Schwarz methods were developed in [1], and for the more general form in [9, ...
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A robust coarse space for Optimized Schwarz methods SORAS-GenEO-2
... improving Schwarz methods by replacing the Dirichlet interface conditions by Robin interface ...(Optimized Schwarz methods, OSM) for a better convergence, see [8,7] and references ...these ...
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Optimized Schwarz Methods for Heterogeneous Helmholtz and Maxwell's Equations
... Optimized Schwarz algorithms for solving time-harmonic Maxwell’s equations discretized by a discon- tinuous Galerkin ...Optimized Schwarz Methods for the ...
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Can the Discretization Modify the Performance of Schwarz Methods?
... Martin J. Gander. Optimized Schwarz methods. SIAM J. Numer. Anal., 44 (2):699–731 (electronic), 2006. ISSN 0036-1429. Pierre-Louis Lions. On the Schwarz alternating method. I. In Roland Glowin- ski, ...
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Optimized Schwarz Methods for Maxwell equations
... words. Schwarz algorithms, optimized transmission conditions, Maxwell’s equations AMS subject ...Introduction. Schwarz algorithms have experienced a second youth over the last decades, when distributed ...
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GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems
... optimized Schwarz methods applied to time-harmonic acoustic and electromagnetic wave problems, with the corresponding mathematical ...Decomposition Methods”) to test and compare them, based on the ...
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DG discretization of optimized Schwarz methods for Maxwell's equations
... (DG) methods have seen rapid growth and are widely used in various application domains (see [13] for an historical intro- ...optimized Schwarz methods can be ...optimized Schwarz DD ...
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Schwarz methods and boundary integral equations
... Schwarz methods and boundary integral equations Abstract The objective of this thesis is to use domain decomposition methods to develop new efficient methods for high performance computing ...
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Two-level Schwarz methods with coarse spaces based on Dirichlet-to-Neumann maps
... two-level methods is well ...additive Schwarz method (ASM) enables us to select the necessary eigenvectors to be added to the coarse space in order to have a convergence rate of the order of the constant ...
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Towards optimized Schwarz methods for the Navier-Stokes equations
... algebraic methods working on the discrete matrix system ...variational methods min- imizing a misfit at the interfaces between subdomains ...and Schwarz alternating methods. This last class of ...
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Double Sweep Preconditioners for propagation problems solved by Optimized Schwarz Methods
... Key words: Domain Decomposition, Preconditioner, Propagation, High Frequency. 1 Introduction The idea of sweeping for the solution of wave propagation problems in the frequency domain, of the form (∆ +k 2 )u = 0, is ...
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An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method
... Optimized Schwarz methods (OSM) are very popular methods which were introduced by ...Additive Schwarz) al- gorithm [37] that is suitable for the analysis of a two-level ...
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