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Titlebook: Domain Decomposition Methods in Science and Engineering; Timothy J. Barth,Michael Griebel,Jinchao Xu Conference proceedings 2005 Springer-

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Improving Robustness and Parallel Scalability of Newton Method Through Nonlinear Preconditioningasy to implement, and converges well for many practical problems. However, the method is not robust. More precisely speaking, the convergence may stagnate for no obvious reason. In this paper, we extend the recent work of Tuminaro, Walker and Shadid [2002] on detecting the stagnation of Newton metho
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Iterative Substructuring Methods for Indoor Air Flow Simulationscosity turbulence models based on the non-stationary, incompressible, nonisothermal Navier-Stokes problem with non-isothermal near-wall models; this approach covers the ./ε model with an improved wall function concept. The iterative process requires the fast solution of linearized Navier-Stokes pro
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Uncoupling-Coupling Techniques for Metastable Dynamical Systemse decomposition of reversible nearly uncoupled Markov chains into rapidly mixing subchains. We show how the underlying scheme of uncoupling-coupling can also be applied to stochastic differential equations where it can be translated into a domain decomposition technique for partial differential equations.
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Approximation and Fast Calculation of Non-local Boundary Conditions for the Time-dependent SchrödingAnd, secondly, to approximate the discrete convolution kernel of DTBC by sum-of-exponentials for a rapid recursive calculation of the convolution. We illustrate the efficiency of the proposed method on several examples..A much more detailed version of this article can be found in Arnold et al. [2003].
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Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering contribution of the cavity to a set of equations supported by the aperture. The second one is an additive Schwarz procedure to solve the problem after the reduction of the cavity. Numerical results are reported to give an insight into the approach.
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https://doi.org/10.1007/978-3-031-43860-8o derive, from ., the values of each trace of . on the boundary of each .. We do it by solving an auxiliary problem on each . that resembles the mortar method but is more flexible. Optimal error estimates are proved under suitable assumptions.
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Advances in Science, Technology & Innovationcribe a nonconforming finite element method which solves the problem of interaction between a viscous incompressible fluid and a structure whose deformation defines the interface between the two simultaneously. A general methodology is described for the model 2D problem and the algorithm is validated computationally for a one-dimensional example.
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