Haut PDF Iterative Methods for Model Reduction by Domain Decomposition
Iterative Methods for Model Reduction by Domain Decomposition
... order model based on proper orthogonal decomposition (POD) [4] to solve the ...solution by a small number of unknowns that are the coefficients of an appropriate Galerkin ...solved for is ...
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Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation
... room for improvement of this class of methods. For instance, by combining cleverly several integral operators, one could expect the same gain that has been achieved with Pad´ e-like operators ...
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Model order reduction methods for parameter-dependent equations -- Applications in Uncertainty Quantification.
... inefficient model order reduction: the use of a preconditioner P (ξ) ≈ A(ξ) −1 is necessary to obtain accurate ...defined by a projection method based on the Frobenius ...] for an ...
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Algebraic Domain Decomposition Methods for Darcy flow in heterogeneous media
... accounting for the mass conservation of each component and the multiphase Darcy ...allow for large time ...solution by an iterative Krylov method such as GMRES or BiCGStab requires the ...
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Large-scale frequency-domain seismic wave modeling on h-adaptive tetrahedral meshes with iterative solver and multi-level domain-decomposition preconditioners
... finite-difference methods on uniform Cartesian grid (Op- erto et ...offered by unstructured meshes to adapt the size of the elements to the local wavelengths (the so-called h-adaptivity) offers a good ...
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Dual Norm Based Iterative Methods for Image Restoration
... one-step model (25) proposed by Le et al, we also observe that the proposed iterative method gives much sharper and cleaner ...the iterative algorithm to image deblurring via (cartoon + ...
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Galerkin-free model reduction for fluid-structure interaction using proper orthogonal decomposition
... ROM for this FSI system: first, the traditional Galerkin projection of the Navier-Stokes equations on the POD time invariant modes (or space modes) when the computation domain is time dependent, which is ...
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Model Order Reduction in Hyperelasticity: A Proper Generalized Decomposition Approach
... POD methods (those designed for data lying on a manifold) are always difficult to ...generalized decomposition (PGD) methods, on the contrary, arose recently as a gener- alization of POD ...
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Domain decomposition for coupling finite and boundary element methods in EEG
... RDM for the isotropic case, for pure and coupled ...sphere model [2], for both isotropic and anisotropic skull ...1.0} for the isotropic ...done for 5 dipoles oriented in ...
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Corners and stable optimized domain decomposition methods for the Helmholtz problem
... two iterative DDM ...Both methods are shown to be convergent using a technique based on a suitable quadratic energy defined on the skeleton of the mesh ...the iterative solution of the DDM and the ...
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Prediction of apparent properties with uncertain material parameters using high-order fictitious domain methods and PGD model reduction
... fictitious domain method ap- proximation which enables to avoid the meshing burden with such complex geometries, and (ii) a model reduction technique based on the Proper Generalized ...
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Time-domain simulation of large electric power systems using domain-decomposition and parallel processing methods
... the domain is to minimize the interfaces between the ...allow for lower communication requirements and a simpler handling of interface ...defined by geometric ...used. For a system with N ...
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Two-Level Domain Decomposition Methods for Highly Heterogeneous Darcy Equations. Connections with Multiscale Methods
... extension of the spectral coarse space of Section 2 to a finite volume discretization is thus mandatory for its use in subsurface modeling. As explained in Section 2.2, the rationale behind this coarse space is ...
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Domain decomposition methods to model heat exchanges between a well and a rock mass
... estimated by model (black marks) compared to availble data (grey marks) - flow rate (black line) is imposed in the ...preconditionned by an Algebraic MultiGrid (AMG) method for the rock linear ...
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A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods
... in the form of a rst-order system of partial dierential equations. Our eorts are towards the design of a parallel solution strategy for the resulting large, sparse and omplex oe - ients algebrai systems. ...
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Domain Decomposition Methods for Time-Harmonic Electromagnetic Waves with High Order Whitney Forms
... Preliminary results are shown on Table IV. It is worth noticing that the high iteration count is explained by the lack of preconditioning of the iterative solver [15]. Without it, the iteration count ...
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Efficient high order and domain decomposition methods for the time-harmonic Maxwell's equations
... by doctors thanks to an image of the brain displaying the values of this ...solver for the direct problem is ...application, for a precise detection of the stroke and the continuous monitoring of ...
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On Domain Decomposition Methods with optimized transmission conditions and cross-points
... 2. By definition, one has that Π∂ n = ∂ n ...key for this ...the iterative DDM already quoted in the literature [3, 6, 9, 14, 17, 20, 21, 22, 8] can be recast under the form ...DDM for the ...
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Model reduction based on Proper Generalized Decomposition for the Stochastic steady incompressible Navier-Stokes equations
... handled by classical deterministic solvers, thus making the proposed algorithm a partially non intrusive ...proposed for the reconstruction of an approximation of the pressure field, the random velocity field ...
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Effective Transmission Conditions for Domain Decomposition Methods applied to the Time-Harmonic Curl-Curl Maxwell's equations
... fundamental for the simulation of many modern devices we have become used to in everyday ...hampered by two fundamental problems: first, in the high frequency regime, very fine meshes need to be used in ...
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