A Domain Decomposition Method for Time Fractional Reaction-Diffusion Equation [PDF]
The Scientific World Journal, 2014 The computational complexity of one-dimensional time fractional reaction-diffusion equation is O(N2M) compared with O(NM) for classical integer reaction-diffusion equation. Parallel computing is used to overcome this challenge.
Chunye Gong +4 more
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A GenEO Domain Decomposition method for Saddle Point problems
Comptes Rendus. Mécanique, 2023 We introduce an adaptive element-based domain decomposition (DD) method for solving saddle point problems defined as a block two by two matrix. The algorithm does not require any knowledge of the constrained space.
Nataf, Frédéric +1 more
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A noniterative domain decomposition method for the forward-backward heat equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 A nonoverlapping domain decomposition technique applied to a finite difference method is presented for the numerical solution of the forward backward heat equation in the case of one-dimension.
S. Banei, K. Shanazari
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IEEE Access, 2021 Spectral photon-counting CT offers novel potentialities to achieve quantitative decomposition of material components, in comparison with traditional energy-integrating CT or dual-energy CT.
Bingqing Xie +9 more
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Overlapping Domain Decomposition Method with Cascadic Multigrid for Image Restoration
Mathematics, 2023 In the process of image restoration, it is usually necessary to solve large-scale inverse problems, where the computational cost is very high for large or high-resolution images.
Zhaoteng Chu, Chenliang Li
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Parallel efficiency of a boundary integral equation method for nonlinear water waves [PDF]
, 1997 We describe the application of domain decomposition on a boundary integral method for the study of nonlinear surface waves on water in a test case for which the domain decomposition approach is an important tool to reduce the computational effort.
Haas, P.C.A. de, Strating, P.
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Domain Decomposition Spectral Method Applied to Modal Method: Direct and Inverse Spectral Transforms
Sensors, 2022 We introduce a Domain Decomposition Spectral Method (DDSM) as a solution for Maxwell’s equations in the frequency domain. It will be illustrated in the framework of the Aperiodic Fourier Modal Method (AFMM).
Kofi Edee +8 more
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A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]
, 2008 We present here a domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method.
Alonso-Rodriguez +32 more
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A domain decomposition technique based on the multiscale seamless-domain method
Mechanical Engineering Journal, 2017 We present a domain decomposition technique combining the finite-element analysis and a multiscale simulation scheme that is termed the seamless-domain method.
Yoshiro SUZUKI
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D3M: A Deep Domain Decomposition Method for Partial Differential Equations
IEEE Access, 2020 A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the solution of a constrained optimization problem, and we ...
Ke Li +3 more
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