Convergence rate of overlapping domain decomposition methods for the Rudin-Osher-Fatemi model based on a dual formulation by Chang, Huibin, Tai, Xue-Cheng, Wang, Li-Lian, Yang, Danping

“…This paper is concerned with overlapping domain decomposition methods (DDMs), based on successive subspace correction (SSC) and parallel subspace correction (PSC), for the Rudin--Osher--Fatemi (ROF) model in image restoration. …”
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A non-conformal domain decomposition method utilizing rotating subdomains and non-matching grids for periodic metamaterial simulation by Hangxin Liu, Li Xu, Hao Wang, Bingqi Liu, Xuesong Yuan, Bin Li

“…Electromagnetic metamaterials possess characteristics such as having large-scale, periodic, multi-media, and complex geometric structures, making them highly suitable for simulation using the finite element domain decomposition method (DDM). This work proposes a non-conformal DDM for simulating finite-period metamaterials, achieving simulation with a minimal number of domains while significantly reducing computational resource consumption. …”
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A pretraining domain decomposition method using artificial neural networks to solve elliptic PDE boundary value problems by Jeong-Kweon Seo

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A Discontinuous Galerkin like Coarse Space correction for Domain Decomposition Methods with continuous local spaces: the DCS-DGLC Algorithm by Santugini Kévin

“…In this paper, we are interested in scalable Domain Decomposition Methods (DDM). To this end, we introduce and study a new Coarse Space Correction algorithm for Optimized Schwarz Methods(OSM): the DCS-DGLC algorithm. …”
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Finite element analysis of multi-material models using a balancing domain decomposition method combined with the diagonal scaling preconditioner by Masao OGINO

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A posteriori error estimates for the generalized overlapping domain decomposition method for a parabolic variational equation with mixed boundary condition by Salah Boulaaras, Khaled Habita, Mohamed Haiour

“…The paper deals with a posteriori error estimates for the generalized overlapping domain decomposition method with mixed boundary condition the interfaces for parabolic variational equation with Laplace boundary value problems are proved using by the theta time scheme combined with Galerkin spatial approximation.…”
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Reliability evaluation of stochastic subspace identification and frequency domain decomposition methods in estimating modal parameters of a structure excited by the earthquake by A. Nikkhoo, E. Shemshaki, H. Karegar

“…Using the obtained results and comparing them with the results of the numerical model, the error values for the modal parameters are obtained; Also, with the statistical study of the errors in the estimation of the frequency of the structure, the probability distribution function of the error and an estimate of the distance of the error are suggested .The results of the study showed that (a) the method of identifying random subspace has a better performance than the method of frequency domain analysis; (B) The random subspace detection method is not able to detect the first modes and is proposed to identify higher modes; (C) the efficiency of the frequency domain decomposition method decreases with increasing structural height; (D) By optimizing and locating the sensors, the performance of the frequency domain analysis method is dramatically improved. …”
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Publisher Correction: A pretraining domain decomposition method using artificial neural networks to solve elliptic PDE boundary value problems by Jeong-Kweon Seo

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Primal Domain Decomposition Method with Direct and Iterative Solver for Circuit-Field-Torque Coupled Parallel Finite Element Method to Electric Machine Modelling by Daniel Marcsa, Miklos Kuczmann

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Singular limit solutions for 4-dimensional stationary Kuramoto-Sivashinsky equations with exponential nonlinearity by Sami Baraket, Moufida Khtaifi, Taieb Ouni

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On the blowing up solutions of the 4-d general q-Kuramoto-Sivashinsky equation with exponentially "dominated" nonlinearity and singular weight by Sami Baraket, Safia Mahdaoui, Taieb Ouni

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High‐performance computing of 3D blasting wave propagation in underground rock cavern by using 4D‐LSM on TianHe‐3 prototype E class supercomputer by Meng Fu, Gaofeng Zhao

Subjects: “…domain decomposition method…”
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Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problem by Durkbin Cho

Subjects: “…domain decomposition methods…”
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A Discrete Duality Finite Volume Method for Coupling Darcy and Stokes Equations by Rhoudaf M., Staïli N.

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2D Newton Schwarz Legendre Collocation Method for a Convection Problem by Darío Martínez, Henar Herrero, Francisco Pla

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On the Convergence of the Damped Additive Schwarz Methods and the Subdomain Coloring by Lori Badea

Subjects: “…domain decomposition methods…”
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A Novel Hybrid Boundary-Type Meshless Method for Solving Heat Conduction Problems in Layered Materials by Jing-En Xiao, Cheng-Yu Ku, Wei-Po Huang, Yan Su, Yung-Hsien Tsai

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Large-Scale Cluster Parallel Strategy for Regularized Lattice Boltzmann Method with Sub-Grid Scale Model in Large Eddy Simulation by Zhixiang Liu, Yuanji Chen, Wenjun Xiao, Wei Song, Yu Li

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Domain Decomposition with Neural Network Interface Approximations for time-harmonic Maxwell's equations with different wave numbers by Tobias Knoke, Sebastian Kinnewig, Sven Beuchler, Ayhan Demircan, Uwe Morgner, Thomas Wick

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Construction of singular limits for a strongly perturbed four-dimensional Navier problem with exponentially dominated nonlinearity and nonlinear terms by Sami Baraket, Souhail Chebbi, Nejmeddine Chorfi

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