Schwarz algorithms
New optimized Schwarz algorithms for one dimensional Schrödinger equation with general potential
... optimized Schwarz algorithms for the one dimensional Schr¨ odinger equation with linear or nonlinear ...new algorithms implemented in parallel cluster are robust, scalable up to 256 sub domains (MPI ...
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Non-overlapping Schwarz algorithms for the Incompressible Navier-Stokes equations with DDFV discretizations
... non-overlapping Schwarz algorithms, the subdomains intersect only on their interfaces and in order to obtain convergence, more elaborate transmission conditions should be defined on the ...conditions, ...
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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 ...
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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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Optimized Schwarz methods for the time-harmonic Maxwell equations with damping
... optimized Schwarz algorithms are presented. These algorithms are analyzed by computing their convergence factor in Fourier space in Section ...optimized Schwarz methods in all detail, and ...
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An optimized Schwarz algorithm for the compressible Euler equations
... with Schwarz algorithms applied to scalar problems: classical and optimized transmission conditions as well as preconditionning aspects were treated for example in the case of the Poisson, ...
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DG discretization of optimized Schwarz methods for Maxwell's equations
... relations (14) and (17) are equivalent. The proof is based on the invertibility of the matrix of (17) and can be found in [7]. 4 Numerical results In order to illustrate numerically the proposed discrete versions of the ...
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Optimized Schwarz Methods for curl-curl time-harmonic Maxwell's equations
... three Schwarz algorithms we considered over 20 ...TETM algorithms have identical convergence behavior, while the RL algorithm is very slow as expected from the theoretical result in the left ...
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Optimized Schwarz waveform relaxation for Primitive Equations of the ocean
... 3.1. The Schwarz waveform relaxation method. The heart of the method is the following. We first divide the computational domain into an arbitrary number of subdomains. Then we solve each sub-problem independently ...
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Schwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations
... determined, and f(u) = (f 1 (u 1 , u 2 ), f 2 (u 1 , u 2 )). A well posedness result for such systems of semi-linear reaction diffusion equations can be found in [8], see Corollary 3.3.5, page 56. Our analysis of the ...
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A robust coarse space for Optimized Schwarz methods SORAS-GenEO-2
... [11] Pierre-Louis Lions. On the Schwarz alternating method. III: a variant for nonoverlapping subdomains. In Tony F. Chan, Roland Glowinski, Jacques P´ eriaux, and Olof Widlund, editors, Third International ...
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A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces
... local SPSD matrices, solve the generalized eigenvalue problem (3.2) concurrently, as- 583. semble the Galerkin operator A 3 and factorize it on a single process[r] ...
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Robust coarse spaces for Abstract Schwarz preconditioners via generalized eigenproblems
... cadre Schwarz Abstrait via la résolution de problèmes aux valeurs propres généralisés Résumé : La résolution de grands systèmes linéaires est l’un des noyaux de calcul cri- tiques dans de nombreuses ...de ...
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Optimized Schwarz Methods for Maxwell's Equations with Non-Zero Electric Conductivity
... [5] V. Dolean, M. El Bouajaji, M.J. Gander, S. Lanteri, and R. Perrussel. Domain decomposition methods for electromagnetic wave propagation problems in heterogeneous media and complex domains. In Domain De- composition ...
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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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Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations
... 4 Numerical Experiments We now investigate the influence of the anisotropy on the optimized Schwarz algorithm discretized by DDFV (3.8,3.9) numerically. We start with numerical experiments for a rectangular domain ...
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Bayesian Pursuit Algorithms
... several algorithms of the state of the art: MP [12], OMP [13], StOMP [14], SP [20], IHT [17], HTP [18], Basis Pursuit Denoising (BPD) [10], SBR [7], SOBAP [33] and FBMP ...
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Accelerating MCMC algorithms
... (MCMC) algorithms have been used for nearly 60 years, becoming a reference method for analysing Bayesian complex models in the early 1990’s ( Gelfand and Smith , 1990 ...MCMC algorithms are robust or ...
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Can AI Algorithms Collude?
... • Pricing algorithms learning how to adjust prices • Realize that Collusion higher profits. • Algorithmic Collusion[r] ...
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Flight Radius Algorithms
... sign algorithms for flight radius problem compared to the decomposition into shortest path problems? Does reduction of the number of scanned nodes lead to a reduction of the runtime? How does the performance ...
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