On Solving Modified Helmholtz Equation in Layered Materials Using the Multiple Source Meshfree Approach by Cheng-Yu Ku, Jing-En Xiao, Weichung Yeih, Chih-Yu Liu

“…To deal with the two-dimensional modified Helmholtz equation in layered materials, the domain decomposition method was adopted. Numerical examples were carried out to validate the method. …”
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Parallel Simulation of Cellular Flow in Microvessels Using a Particle Method by Davod ALIZADEHRAD, Yohsuke IMAI, Keita NAKAAKI, Takuji ISHIKAWA, Takami YAMAGUCHI

“…Red blood cell deformation was modeled by a spring network of membrane particles. A domain decomposition method was used for parallel implementation on distributed memory systems. …”
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Numerical simulation of fluid flow and heat transfer in rotating channels using parallel lattice Boltzmann method by Basha, M., Sidik, N. A. C., Beriache, M.

“…LBM code was written in C language and was parallelized using OpenMP libraries. Domain decomposition method of data parallelism was adopted here, and simulations were conducted on a workstation with dual processors and 64 GB RAM. …”

Two-dimensional local Fourier image reconstruction via domain decomposition Fourier continuation method. by Ruonan Shi, Jae-Hun Jung, Ferdinand Schweser

“…This work is an extension of our previous 1D Fourier domain decomposition method to 2D Fourier data. The proposed method first divides the MRI image in the spatial domain into many subdomains and applies the Fourier continuation method for the smooth periodic extension of the subdomain of interest. …”
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Impedance minimization of the CERN Super Proton Synchrotron cavities using the generalized coupled S-parameter method by Shahnam Gorgi Zadeh, Erion Gjonaj, Thomas Flisgen, Patrick Krämer, Christine Völlinger, Ursula van Rienen

“…The generalized coupled S-parameter method is a domain decomposition method for the calculation of the S parameters and beam coupling impedance of large structures. …”
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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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A semi-analytical method for dynamic analysis of a rectangular plate with general boundary conditions based on FSDT by Jia Di, Gao Cong, Yang Yuliang, Pang Fuzhen, Li Haichao, Du Yuan

“…First, the structural energy functional is established in the framework of the first-order shear deformation theory, and the rectangular plate is divided into several equal parts according to the domain decomposition method. Then, the artificial springs are introduced to ensure the continuity of segments and diversified boundary conditions. …”
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Hierarchical Linking-Domain Extraction Decomposition Method for Fast and Parallel Power System Electromagnetic Transient Simulation by Tong Duan, Venkata Dinavahi

“…The linking-domain extraction (LDE) decomposition method is a new non-overlapping domain decomposition method for parallel circuit simulation. …”
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Accelerating Contaminant Transport Simulation in MT3DMS Using JASMIN-Based Parallel Computing by Xingwei Liu, Qiulan Zhang, Tangpei Cheng

“…In this approach, a domain decomposition method and a stencil-based method were used to accomplish parallel implementation, while a ghost cell strategy was used for communication. …”
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Non-Overlapping Domain Decomposition for 1D Optimal Control Problems Governed by Time-Fractional Diffusion Equations on Coupled Domains: Optimality System and Virtual Controls by Günter Leugering, Vaibhav Mehandiratta, Mani Mehra

“…We consider a non-overlapping domain decomposition method for optimal control problems of the tracking type governed by time-fractional diffusion equations in one space dimension, where the fractional time derivative is considered in the Caputo sense. …”
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Parallel algorithms for solution of nonlinear diffusion problems in image smoothing by R. Čiegis, A. Jakušev, A. Krylovas, O. Suboč

“…Parallel algorithms are based on the domain decomposition method. The algorithms are implemented by using ParSol parallelization tool and a brief description of this tool is also presented. …”
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Finite element method with hierarchical domain decomposition : enabling experimentally relevant mesoscale models by Malhotra, Laura (Laura A.)

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Massively Parallel Implementation of FETI-2LM Methods for the Simulation of the Sparse Receiving Array Evolution of the GRAVES Radar System for Space Surveillance and Tracking by Antoine Jouade, Andre Barka

“…These simulations of the GRAVES sparse array requiring the resolution of sparse linear systems with 10.47 billion unknowns have been made possible thanks to recent developments of the FETI-2LM domain decomposition method and the use of 13, 692 Intel Xeon Broadwell E5-2680v4 computing cores. …”
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Hydrodynamic Model and Tidal Current Energy Potential in Lepar Strait, Indonesia by Harman Ajiwibowo, Munawir Bintang Pratama

“…In the modelling, the domain decomposition method was employed for model downscaling, allowing grid resolution reaching 130 x 130 m2, which is sufficient to represent the narrow gaps between tiny islands in the area of interest. …”
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Modeling Transient Flows in Heterogeneous Layered Porous Media Using the Space–Time Trefftz Method by Cheng-Yu Ku, Li-Dan Hong, Chih-Yu Liu, Jing-En Xiao, Wei-Po Huang

“…The continuity conditions at the interface of the subdomains were satisfied in terms of the domain decomposition method. Numerical solutions were approximated based on the superposition principle utilizing the space–time basis functions of the governing equation. …”
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Elastic Image Registration Based on Domain Decomposition with Mesh Adaptation by Ales Ronovsky, Alena Vasatova

“…The related elasticity problems are solved by TFETI, which is a variant of the Finite Element Tearing and Interconnecting (FETI) domain decomposition method for massively parallel numerical solution of elliptic Partial Differential Equations (PDE) with optimal complexity.…”
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A Parallel Solution of Timing Synchronization in High-Speed Remote Sensing Data Transmission by Fei Teng, Wenge Yang, Jining Yan, Hongbin Ma, Yiwen Jiao, Zefu Gao

“…Finally, an implementation scheme for parallel timing error estimation and correction is proposed using the polyphase filter bank time domain decomposition method and the filter polyphase model. …”
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Numerical predictions of laminar and turbulent forced convection: Lattice Boltzmann simulations using parallel libraries by Basha, M., Sidik, N. A. C.

“…Five different parallel libraries namely; matlabpool, pMatlab, GPU-Matlab, OpenMP and OpenMP+OpenMPI were used to parallelize the serial lattice Boltzmann method code. Domain decomposition method was adopted for parallelism for 2D and 3D uniform lattice grids. …”
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Application of parallel algorithms for numerical simulation of quasi-one dimensional blood flow by A. N. Avdeeva, V. V. Puzikova

“…When constructing a parallel algorithm, the domain decomposition method was applied. In each subdomain, the problem at each time step splits into a hyperbolic and parabolic subproblems. …”
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A Parallel Dissipation-Free and Dispersion-Optimized Explicit Time-Domain FEM for Large-Scale Room Acoustics Simulation by Takumi Yoshida, Takeshi Okuzono, Kimihiro Sakagami

“…The method can use domain decomposition method (DDM)-based parallel computing to compute acoustics in large rooms at kilohertz frequencies. …”
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