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Titlebook: Domain Decomposition Methods in Science and Engineering XXVI; Susanne C. Brenner,Eric Chung,Jun Zou Conference proceedings 2022 The Editor

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41#
發(fā)表于 2025-3-28 18:21:16 | 只看該作者
Decomposition and Preconditioning of Deep Convolutional Neural Networks for Training Acceleration7]. Larger models and larger datasets have led to breakthroughs in accuracy; however, it results in much longer training time and memory intensity, which negatively impact the development of CNNs [1, 9]. There are two ways to parallelize training: model parallelism and data parallelism [1].
42#
發(fā)表于 2025-3-28 22:06:33 | 只看該作者
Numerical Calculation of the Portal Pressure Gradient of the Human Liver With a Domain Decompositionnces of cirrhosis, such as hepatic encephalopathy, variceal hemorrhage and ascites [7, 11]. Fig. 1 shows the portal vein and hepatic vein extracted from CT images, from the figure we also see the single inlet and multiple outlets structure of the portal vein and the multiple inlets and single outlet characteristics of the hepatic vein.
43#
發(fā)表于 2025-3-29 02:58:08 | 只看該作者
44#
發(fā)表于 2025-3-29 04:05:28 | 只看該作者
On the Effect of Boundary Conditions on the Scalability of Schwarz Methodsr, the recent work [2], published in the field of implicit solvation models used in computational chemistry, has drawn attention to the opposite case in which the number of subdomains increases, but their size remains unchanged, and, as a result, the size of the whole domain Ω increases.
45#
發(fā)表于 2025-3-29 07:43:43 | 只看該作者
Repertoire Remix in the Context of ,e massively parallel solution of large discretized elliptic partial differential equations. The basic idea is to decompose the domain into subdomains connected by Lagrange multipliers and then eliminate the primal variables to get a small coarse problem and local problems that can be solved in paral
46#
發(fā)表于 2025-3-29 14:03:59 | 只看該作者
47#
發(fā)表于 2025-3-29 15:40:06 | 只看該作者
https://doi.org/10.1007/978-3-319-15320-9ant nonlinearity, solving such systems with Newton’s method requires small time steps for stable numerical convergence, resulting in significant computational load. Our space-time domain decomposition method addresses this difficulty by allowing different time scales for different spatial subdomains
48#
發(fā)表于 2025-3-29 22:58:02 | 只看該作者
Regulation and Housing Prices in Manhattanse), such that the iteration count is independent of the number of subdomains, for subdomains of fixed dimension. In addition, it is desirable to guarantee robustness with respect to strong variations in the physical parameters. Achieving scalability and robustness usually relies on sophisticated to
49#
發(fā)表于 2025-3-30 01:37:52 | 只看該作者
https://doi.org/10.1007/978-3-319-16301-7 of convergence issues, the Helmholtz equation remains a challenging PDE to solve numerically. Even for simple model problems, the resulting linear system after discretisation becomes indefinite and tailored iterative solvers are required to obtain the numerical solution efficiently. At the same tim
50#
發(fā)表于 2025-3-30 06:39:53 | 只看該作者
Treatment of the Prostate Canceriate technique dealing with the so-called cross-points problem in the context of a nodal finite element method (FEM). The square-root operator is localized using the Padé Approximants technique. In addition,we use a Krylov solver to accelerate the iterative procedure. Several numerical results are d
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