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Статті в журналах з теми "Optimized domain decomposition method":
Ouyang, Chun-Juan, Chang-Xin Liu, Ming Leng, and Huan Liu. "An OMP Steganographic Algorithm Optimized by SFLA." International Journal of Pattern Recognition and Artificial Intelligence 31, no. 01 (January 2017): 1754001. http://dx.doi.org/10.1142/s0218001417540015.
Chen, Jia-Fen, Xian-Ming Gu, Liang Li, and Ping Zhou. "An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method." Entropy 25, no. 4 (April 19, 2023): 693. http://dx.doi.org/10.3390/e25040693.
GOTOH, Hitoshi, Abbas KHAYYER, Hiroyuki IKARI, and Chiemi HORI. "Development of 3D Parallelized CMPS Method with Optimized Domain Decomposition." Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering) 65, no. 1 (2009): 41–45. http://dx.doi.org/10.2208/kaigan.65.41.
Li, Hui, Bangji Fan, Rong Jia, Fang Zhai, Liang Bai, and Xingqi Luo. "Research on Multi-Domain Fault Diagnosis of Gearbox of Wind Turbine Based on Adaptive Variational Mode Decomposition and Extreme Learning Machine Algorithms." Energies 13, no. 6 (March 16, 2020): 1375. http://dx.doi.org/10.3390/en13061375.
Amattouch, M. R., N. Nagid, and H. Belhadj. "Optimized Domain Decomposition Method for Non Linear Reaction Advection Diffusion Equation." European Scientific Journal, ESJ 12, no. 27 (September 30, 2016): 63. http://dx.doi.org/10.19044/esj.2016.v12n27p63.
Loisel, S., J. Côté, M. J. Gander, L. Laayouni, and A. Qaddouri. "Optimized Domain Decomposition Methods for the Spherical Laplacian." SIAM Journal on Numerical Analysis 48, no. 2 (January 2010): 524–51. http://dx.doi.org/10.1137/080727014.
Gander, Martin J., and Yingxiang Xu. "Optimized Schwarz methods with nonoverlapping circular domain decomposition." Mathematics of Computation 86, no. 304 (May 17, 2016): 637–60. http://dx.doi.org/10.1090/mcom/3127.
Ali Hassan, Sarah, Caroline Japhet, Michel Kern, and Martin Vohralík. "A Posteriori Stopping Criteria for Optimized Schwarz Domain Decomposition Algorithms in Mixed Formulations." Computational Methods in Applied Mathematics 18, no. 3 (July 1, 2018): 495–519. http://dx.doi.org/10.1515/cmam-2018-0010.
Dolean, Victorita, St�phane Lanteri, and Fr�d�ric Nataf. "Optimized interface conditions for domain decomposition methods in fluid dynamics." International Journal for Numerical Methods in Fluids 40, no. 12 (2002): 1539–50. http://dx.doi.org/10.1002/fld.410.
Gander, Martin J., and Hui Zhang. "Schwarz methods by domain truncation." Acta Numerica 31 (May 2022): 1–134. http://dx.doi.org/10.1017/s0962492922000034.
Дисертації з теми "Optimized domain decomposition method":
Loisel, Sébastien. "Optimal and optimized domain decomposition methods on the sphere." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=85572.
Garay, Jose. "Asynchronous Optimized Schwarz Methods for Partial Differential Equations in Rectangular Domains." Diss., Temple University Libraries, 2018. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/510451.
Ph.D.
Asynchronous iterative algorithms are parallel iterative algorithms in which communications and iterations are not synchronized among processors. Thus, as soon as a processing unit finishes its own calculations, it starts the next cycle with the latest data received during a previous cycle, without waiting for any other processing unit to complete its own calculation. These algorithms increase the number of updates in some processors (as compared to the synchronous case) but suppress most idle times. This usually results in a reduction of the (execution) time to achieve convergence. Optimized Schwarz methods (OSM) are domain decomposition methods in which the transmission conditions between subdomains contain operators of the form \linebreak $\partial/\partial \nu +\Lambda$, where $\partial/\partial \nu$ is the outward normal derivative and $\Lambda$ is an optimized local approximation of the global Steklov-Poincar\'e operator. There is more than one family of transmission conditions that can be used for a given partial differential equation (e.g., the $OO0$ and $OO2$ families), each of these families containing a particular approximation of the Steklov-Poincar\'e operator. These transmission conditions have some parameters that are tuned to obtain a fast convergence rate. Optimized Schwarz methods are fast in terms of iteration count and can be implemented asynchronously. In this thesis we analyze the convergence behavior of the synchronous and asynchronous implementation of OSM applied to solve partial differential equations with a shifted Laplacian operator in bounded rectangular domains. We analyze two cases. In the first case we have a shift that can be either positive, negative or zero, a one-way domain decomposition and transmission conditions of the $OO2$ family. In the second case we have Poisson's equation, a domain decomposition with cross-points and $OO0$ transmission conditions. In both cases we reformulate the equations defining the problem into a fixed point iteration that is suitable for our analysis, then derive convergence proofs and analyze how the convergence rate varies with the number of subdomains, the amount of overlap, and the values of the parameters introduced in the transmission conditions. Additionally, we find the optimal values of the parameters and present some numerical experiments for the second case illustrating our theoretical results. To our knowledge this is the first time that a convergence analysis of optimized Schwarz is presented for bounded subdomains with multiple subdomains and arbitrary overlap. The analysis presented in this thesis also applies to problems with more general domains which can be decomposed as a union of rectangles.
Temple University--Theses
Riaz, Samia. "Domain decomposition method for variational inequalities." Thesis, University of Birmingham, 2014. http://etheses.bham.ac.uk//id/eprint/4815/.
Haferssas, Ryadh Mohamed. "Espaces grossiers pour les méthodes de décomposition de domaine avec conditions d'interface optimisées." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066450.
The objective of this thesis is to design an efficient domain decomposition method to solve solid and fluid mechanical problems, for this, Optimized Schwarz methods (OSM) are considered and revisited. The optimized Schwarz methods were introduced by P.L. Lions. They consist in improving the classical Schwarz method by replacing the Dirichlet interface conditions by a Robin interface conditions and can be applied to both overlapping and non overlapping subdomains. Robin conditions provide us an another way to optimize these methods for better convergence and more robustness when dealing with mechanical problem with almost incompressibility nature. In this thesis, a new theoretical framework is introduced which consists in providing an Additive Schwarz method type theory for optimized Schwarz methods, e.g. Lions' algorithm. We define an adaptive coarse space for which the convergence rate is guaranteed regardless of the regularity of the coefficients of the problem. Then we give a formulation of a two-level preconditioner for the proposed method. A broad spectrum of applications will be covered, such as incompressible linear elasticity, incompressible Stokes problems and unstationary Navier-Stokes problem. Numerical results on a large-scale parallel experiments with thousands of processes are provided. They clearly show the effectiveness and the robustness of the proposed approach
Badia, Ismaïl. "Couplage par décomposition de domaine optimisée de formulations intégrales et éléments finis d’ordre élevé pour l’électromagnétisme." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0058.
In terms of computational methods, solving three-dimensional time-harmonic electromagnetic scattering problems is known to be a challenging task, most particularly in the high frequency regime and for dielectric and inhomogeneous scatterers. Indeed, it requires to discretize a system of partial differential equations set in an unbounded domain. In addition, considering a small wavelength λ in this case, naturally requires very fine meshes, and therefore leads to very large number of degrees of freedom. A standard approach consists in combining integral equations for the exterior domain and a weak formulation for the interior domain (the scatterer) resulting in a formulation coupling the Boundary Element Method (BEM) and the Finite Element Method (FEM). Although natural, this approach has some major drawbacks. First, this standard coupling method yields a very large system having a matrix with sparse and dense blocks, which is therefore generally hard to solve and not directly adapted to compression methods. Moreover, it is not possible to easily combine two pre-existing solvers, one FEM solver for the interior domain and one BEM solver for the exterior domain, to construct a global solver for the original problem. In this thesis, we present a well-conditioned weak coupling formulation between the boundary element method and the high-order finite element method, allowing the construction of such a solver. The approach is based on the use of a non-overlapping domain decomposition method involving optimal transmission operators. The associated transmission conditions are constructed through a localization process based on complex rational Padé approximants of the nonlocal Magnetic-to-Electric operators. The number of iterations required to solve this weak coupling is only slightly dependent on the geometry configuration, the frequency, the contrast between the subdomains and the mesh refinement
Lee, Wee Siang. "Exterior domain decomposition method for fluid-structure interaction problems." Thesis, Imperial College London, 1999. http://hdl.handle.net/10044/1/8533.
Gu, Yaguang. "Nonlinear optimized Schwarz preconditioning for heterogeneous elliptic problems." HKBU Institutional Repository, 2019. https://repository.hkbu.edu.hk/etd_oa/637.
Zhao, Kezhong. "A domain decomposition method for solving electrically large electromagnetic problems." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1189694496.
Pieskä, J. (Jali). "Domain decomposition methods for continuous casting problem." Doctoral thesis, University of Oulu, 2004. http://urn.fi/urn:isbn:9514274679.
Synn, Sang-Youp. "Practical domain decomposition approaches for parallel finite element analysis." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/17032.
Книги з теми "Optimized domain decomposition method":
International Symposium on Domain Decomposition Methods for Partial Differential Equations (2nd 1988 Los Angeles, Calif.). Domain decomposition methods. Philadelphia: SIAM, 1989.
M, Jameson Leland, and Langley Research Center, eds. A waverlet optimized adaptive multi-domain method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.
Hesthaven, J. S. A wavelet optimized adaptive multi-domain method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.
M, Jameson Leland, and Langley Research Center, eds. A waverlet optimized adaptive multi-domain method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.
Hesthaven, Jan S. A waverlet optimized adaptive multi-domain method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.
F, Magoulès, ed. Mesh partitioning techniques and domain decomposition methods. Kippen, Stirlingshire, Scotland: Saxe-Coburg Publications, 2007.
F, Magoulès, ed. Mesh partitioning techniques and domain decomposition methods. Kippen, Stirlingshire, Scotland: Saxe-Coburg Publications, 2007.
Quarteroni, Alfio. Domain decomposition preconditioners for the spectral collocation method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, 1988.
Quarteroni, Alfio. Domain decomposition preconditioners for the spectral collection method. Hampton, Va: ICASE, 1988.
International Conference on Domain Decomposition (15th 2003 Berlin, Germany). Domain decomposition methods in science and engineering. Edited by Kornhuber Ralf 1955-. Berlin: Springer, 2005.
Частини книг з теми "Optimized domain decomposition method":
Gander, Martin J., and Michal Outrata. "Optimized Schwarz Methods With Data-Sparse Transmission Conditions." In Domain Decomposition Methods in Science and Engineering XXVI, 471–78. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95025-5_50.
Gander, Martin J., Julian Hennicker, and Roland Masson. "Optimized Coupling Conditions for Discrete Fracture Matrix Models." In Domain Decomposition Methods in Science and Engineering XXVI, 317–25. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95025-5_33.
Ciaramella, Gabriele, Felix Kwok, and Georg Müller. "A Nonlinear Optimized Schwarz Preconditioner for Elliptic Optimal Control Problems." In Domain Decomposition Methods in Science and Engineering XXVI, 391–98. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95025-5_41.
Gander, Martin J., Roland Masson, and Tommaso Vanzan. "A Numerical Algorithm Based on Probing to Find Optimized Transmission Conditions." In Domain Decomposition Methods in Science and Engineering XXVI, 597–605. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95025-5_65.
Ciaramella, Gabriele, Martin J. Gander, and Parisa Mamooler. "The Domain Decomposition Method of Bank and Jimack as an Optimized Schwarz Method." In Lecture Notes in Computational Science and Engineering, 285–93. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56750-7_32.
Gander, Martin J., Lahcen Laayouni, and Daniel B. Szyld. "SParse Approximate Inverse (SPAI) Based Transmission Conditions for Optimized Algebraic Schwarz Methods." In Domain Decomposition Methods in Science and Engineering XXVI, 399–406. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95025-5_42.
Laayouni, Lahcen. "Optimized Domain Decomposition Methods for Three-dimensional Partial Differential Equations." In Lecture Notes in Computational Science and Engineering, 339–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75199-1_41.
Lee, Chang-Ock, and Eun-Hee Park. "A Domain Decomposition Method Based on Augmented Lagrangian with an Optimized Penalty Parameter." In Lecture Notes in Computational Science and Engineering, 567–75. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-18827-0_58.
Gander, Martin J., and Yingxiang Xu. "Optimized Schwarz Method with Two-Sided Transmission Conditions in an Unsymmetric Domain Decomposition." In Lecture Notes in Computational Science and Engineering, 631–39. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-18827-0_65.
Antoine, X., and C. Geuzaine. "Optimized Schwarz Domain Decomposition Methods for Scalar and Vector Helmholtz Equations." In Modern Solvers for Helmholtz Problems, 189–213. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-28832-1_8.
Тези доповідей конференцій з теми "Optimized domain decomposition method":
Peng, Zhen. "Optimized integral equation domain decomposition methods for scattering by large and deep cavities." In 2014 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2014. http://dx.doi.org/10.1109/iceaa.2014.6903862.
Barka, Andre, and Francois-Xavier Roux. "Parallel FETI-EM Domain Decomposition Methods optimized for antenna arrays and metamaterials periodic structures." In 2010 IEEE International Symposium Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting. IEEE, 2010. http://dx.doi.org/10.1109/aps.2010.5561925.
Puente, R., G. Paniagua, and T. Verstraete. "Aerodynamic Characterization of Transonic Turbine Vanes Optimized to Attenuate Rotor Forcing." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-46553.
Yıldız, Ali R., and Kazuhiro Saitou. "Topology Synthesis of Multi-Component Structural Assemblies in Continuum Domains." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-50037.
HAIJIANG, LI, LI RUBIN, AO QIUHUA, WANG WEICHENG, WANG XIUFENG, DU LEILEI, WEN JUN, and ZHU LILI. "AN INTELLIGENT METHOD FOR BEARING FAULT DIAGNOSIS BASED ON IMPROVED VMD AND GSM-SVM." In 3rd International Workshop on Structural Health Monitoring for Railway System (IWSHM-RS 2021). Destech Publications, Inc., 2021. http://dx.doi.org/10.12783/iwshm-rs2021/36024.
Lie, K. A., O. Møyner, and Ø. A. Klemetsdal. "An Adaptive Newton–ASPEN Solver for Complex Reservoir Models." In SPE Reservoir Simulation Conference. SPE, 2023. http://dx.doi.org/10.2118/212199-ms.
Tao, Shaozhe, Yifan Sun, and Daniel Boley. "Inverse Covariance Estimation with Structured Groups." In Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/395.
McNeill, S. I., and P. Agarwal. "Efficient Modal Decomposition and Reconstruction of Riser Response due to VIV." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49469.
Praharaj, S., and Shapour Azarm. "Two-Level Nonlinear Mixed Discrete-Continuous Optimization-Based Design: An Application to Printed Circuit Board Assemblies." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0135.
Fang, Baoyan, Shuangliang Tian, and Zhigang Wang. "Domain decomposition method with wavelet collocation." In 3rd International Congress on Image and Signal Processing (CISP 2010). IEEE, 2010. http://dx.doi.org/10.1109/cisp.2010.5647545.
Звіти організацій з теми "Optimized domain decomposition method":
Em Karniadakis, George. An Adaptive Random Domain Decomposition Method for Stochastic CFD and MHD Problems. Fort Belvoir, VA: Defense Technical Information Center, February 2009. http://dx.doi.org/10.21236/ada586697.
Tan, Peng, and Nicholas Sitar. Parallel Level-Set DEM (LS-DEM) Development and Application to the Study of Deformation and Flow of Granular Media. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, March 2023. http://dx.doi.org/10.55461/kmiz5819.
Multiple Engine Faults Detection Using Variational Mode Decomposition and GA-K-means. SAE International, March 2022. http://dx.doi.org/10.4271/2022-01-0616.