Convergence rate analysis of a multiplicative Schwarz method for variational inequalities by Badea, Lori, Tai, Xue Cheng, Wang, Junping

“…This paper derives a linear convergence for the Schwarz overlapping domain decomposition method when applied to constrained minimization problems. …”
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Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method by Cong Gao, Fuzhen Pang, Haichao Li, Hongfu Wang, Jie Cui, Jisi Huang

“…The uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper. Firstly, the structure is divided into several equal sections based on domain decomposition method. …”
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Linear barycentric rational collocation method for solving generalized Poisson equations by Jin Li, Yongling Cheng, Zongcheng Li, Zhikang Tian

“…For the basis of barycentric rational function, we present the convergence rate of the linear barycentric rational collocation method for the Poisson equation. Domain decomposition method of the barycentric rational collocation method (BRCM) is also presented. …”
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Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition by Yong Cao, Yuchuan Chu, Xiaoming He, Mingzhen Wei

“…This paper proposes a domain decomposition method for the coupled stationary Navier-Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition in order to improve the efficiency of the finite element method. …”
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Finite Element Computing Using Network of Computers and Parallel Machines by Renata Chrobak

“…The algorithms are based on the non·overlapping domain decomposition method where a mesh of elements is divided into layers assigned to different processes. …”
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The Analytical Methods Of Volterra Integral Equations of The Second Kind by Issa H. Al-Aidi, Ahmed Sh. Al-Atabi

“… This paper discussed the analytic methods to solve Second order Volterra integral equations form using different methods. The domain decomposition method is the first technique. Depending on the hypothesis, the solution is by sequence. …”
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Solution for Time-Fractional Coupled Burgers Equations by Generalized-Laplace Transform Methods by Hassan Eltayeb, Said Mesloub

“…The results show that this method is easy and accurate when compared to the A domain decomposition method (ADM), homotopy perturbation method (HPM), and generalized differential transform method (GDTM). …”
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Convergence of the Interior Penalty Integral Equation Domain Decomposition Methodb by Bo Mi, Yu Hu, Zhang Liu, Ling Qin

“…To solve electrically large scattering problems with limited memory, a Gauss-Seidel iteration scheme is applied to solve the interior penalty integral equation domain decomposition method. Since the original stabilization parameter in this method is frequency-dependent, the convergence of stationary iterations shows obvious dependence on frequency and slow convergence can be observed in some frequency bands. …”
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Coupling Two-Phase Fluid Flow with Two-Phase Darcy Flow in Anisotropic Porous Media by Jie Chen, Shuyu Sun, Zhangxin Chen

“…A Robin-Robin domain decomposition method is used for the coupled Navier-Stokes and Darcy system with the generalized Beavers-Joseph-Saffman condition on the interface between the free flow and the porous media regions. …”
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Domain decomposition with subdomain pre-processing for finite element modelling of transformers with stranded conductors by Ismet Tuna Gürbüz, Antti Lehikoinen, Ugur Aydin, Paavo Rasilo, Eelis Takala, Anouar Belahcen

“…In this paper, a domain decomposition method with subdomain pre-processing is proposed to overcome with this problem. …”
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Asynchronous time integration while achieving zero interface energy by Radim Dvořák, Radek Kolman, Jan Falta, Michaela Neühauserová

“…The numerical model is partitioned into individual subdomains using the domain decomposition method by means of localized Lagrange multipliers. …”
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Space-Time-Domain Decomposition for Optimal Control Problems Governed by Linear Hyperbolic Systems by G¨unter Leugering

“…In this article, we combine a domain decomposition method in space and time for optimal control problems with PDE-constraints described in [2] to a simultaneous space-time decomposition applied to optimal control problems for systems of linear hyperbolic equations with distributed control. …”
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Damage Detection for Large-Scale Grid Structure Based on Virtual Axial Strain by Jian-xin Yu, Hui-feng Tan

“…Finally, the frequency-domain decomposition method only using output response signal was selected for modal parameter estimation. …”
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Analyzing Electromagnetic Systems on Electrically Large Platform Using a GTM-PO Hybrid Method with Synthetic Basis Functions by Shang Xiang, Gaobiao Xiao, Junfa Mao

“…A hybrid method of generalized transition matrix (GTM) and physical optics (PO) with synthetic basis functions (SBF) is proposed to analyze electromagnetic systems on electrically large platforms. Based on domain decomposition method (DDM), the proposed approach is to divide the whole problem into a GTM region and a PO region. …”
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Seismo-VLAB: An open-source finite element software for seismic meso-scale simulations by Danilo S. Kusanovic, Elnaz Seylabi, Domniki Asimaki

“…For example, perfectly matched layer, domain reduction method, dynamic nonlinear solvers, cutting edge parallel linear system solvers, domain decomposition method, and a series of plasticity models are some of the features available in SVL. …”
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Adjoint based a posteriori analysis of multiscale mortar discretizations with multinumerics by Tavener, S, Wildey, T

“…In this paper we derive a posteriori error estimates for linear functionals of the solution to an elliptic problem discretized using a multiscale nonoverlapping domain decomposition method. The error estimates are based on the solution of an appropriately defined adjoint problem. …”

Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths by Qin Su, Yingyu Liu, Xunwang Zhao, Zongjing Gu, Chang Zhai, Zhongchao Lin, Weijun Wu

“…In this paper, a parallel nonoverlapping and nonconformal domain decomposition method (DDM) is proposed for fast and accurate analysis of electrically large objects in the condition of limited resources. …”
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Investigation of the Contamination Control in a Cleaning Room with a Moving AGV by 3D Large-Scale Simulation by Qing-He Yao, Qing-Yong Zhu

“…For this purpose, numerical experiments scheme based on domain decomposition method is designed. Compared with the related past research, the high Reynolds number is treated by large-scale computation in this work. …”
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High-Performance Parallel Simulation of Airflow for Complex Terrain Surface by Kenji Ono, Takanori Uchida

“…An efficient OpenMP-MPI hybrid parallelization scheme using a middleware that provides a framework of parallel codes based on the domain decomposition method is also developed. The preliminary results of the meshing and computing performance show excellent scalability in the strong scaling test.…”
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Reliability assessment of a building in Singapore subjected to future far-field earthquakes by Ho, Peir Meng.

“…Thereafter, the Domain Decomposition Method (DDM) proposed by Professors Lambros Katafygiotis, Sai Hung Cheung[11] is adopted to provide a more efficient and accurate way to handle the low probability occurrences. …”
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