V-CYCLE

作品数:12被引量:22H指数:3
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相关领域:理学机械工程交通运输工程更多>>
相关作者:杨巍田蓓艺魏学哲更多>>
相关机构:同济大学深圳市人民医院南京师范大学更多>>
相关期刊:《Science China Mathematics》《International Journal of Modeling, Simulation, and Scientific Computing》《Journal of Computational Mathematics》《中国医疗器械信息》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划更多>>
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Leveraging Robust Artificial Intelligence for Mechatronic Product Development—A Literature Review
《International Journal of Intelligence Science》2024年第1期1-21,共21页Alexander Nüßgen René Degen Marcus Irmer Fabian Richter Cecilia Boström Margot Ruschitzka 
Mechatronic product development is a complex and multidisciplinary field that encompasses various domains, including, among others, mechanical engineering, electrical engineering, control theory and software engineeri...
关键词:Artificial Intelligence Mechatronic Product Development Knowledge Management Data Analysis Optimization Human Experts Decision-Making Processes V-CYCLE 
Uniform Convergence of Multigrid V-Cycle on Adaptively Refined Finite Element Meshes for Elliptic Problems with Discontinuous Coefficients
《Communications in Mathematical Research》2023年第3期437-475,共39页Haijun Wu Weiying Zheng 
supported by the NSF of China (Grant Nos.12171238,12261160361);supported in part by the China NSF for Distinguished Young Scholars (Grant No.11725106);by the China NSF major project (Grant No.11831016).
The multigrid V-cycle methods for adaptive finite element discretizations of two-dimensional elliptic problems with discontinuous coefficients are considered.Under the conditions that the coefficient is quasi-monotone...
关键词:MULTIGRID adaptive finite elements elliptic problems discontinuous coefficients uniform convergence 
自适应支持通气+iV-Cycle智能同步技术模式在急性呼吸窘迫综合征患者中的临床应用
《中国医疗器械信息》2023年第15期122-124,共3页单文浩 
目的:验证V8呼吸机自适应支持通气+iV-Cycle智能同步技术模式在急性呼吸窘迫综合征(ARDS)患者中的有效性和安全性。方法:选取2022年10月~2023年3月收治的ARDS患者70例,随机分为对照组[自适应支持通气(AMV)模式,n=35]和观察组(AMV+iV-Cy...
关键词:急性呼吸窘迫综合征 iV-Cycle智能同步技术 V8呼吸机 
Finite element multigrid method for multi-term time fractional advection diffusion equations被引量:1
《International Journal of Modeling, Simulation, and Scientific Computing》2015年第1期1-25,共25页Weiping Bu Xiangtao Liu Yifa Tang Jiye Yang 
This research is supported by the National Center for Mathematics and Interdisciplinary Sciences,CAS,and by the National Natural Science Foundation of China(Grant No.11371357).
In this paper,a class of multi-term time fractional advection diffusion equations(MTFADEs)is considered.By finite difference method in temporal direction and finite element method in spatial direction,two fully discre...
关键词:Multi-term time fractional advection diffusion equation finite element method stability CONVERGENCE V-cycle multigrid method 
3-D direct current resistivity forward modeling by adaptive multigrid finite element method被引量:9
《Journal of Central South University》2010年第3期587-592,共6页汤井田 王飞燕 任政勇 郭荣文 
Projects(2006AA06Z105, 2007AA06Z134) supported by the National High-Tech Research and Development Program of China;Projects(2007, 2008) supported by China Scholarship Council (CSC)
Based on the fact that 3-D model discretization by artificial could not always be successfully implemented especially for large-scaled problems when high accuracy and efficiency were required, a new adaptive multigrid...
关键词:adaptive multigrid a-posteriori error estimator unstructured mesh V-CYCLE finite element method 
The V-cycle Multigrid Method for a Hermite-type Rectangular Element
《Chinese Quarterly Journal of Mathematics》2010年第1期140-145,共6页ZHAO Yan-min SHI Dong-yang 
Supported by NSF of China(10971203);Supported by the NSF of the education Department of Henan Province (2009A110017)
In this paper, a V-cycle multigrid method is presented for a Hermite rectangular element. By defining proper mesh-dependent inner product and transfer operator, we obtain its convergence property and the uniform conve...
关键词:V-CYCLE Hermite-type multigrid method transfer operator 
Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems被引量:8
《Science China Mathematics》2006年第10期1405-1429,共25页WU Haijun CHEN Zhiming 
The first author was supported in part by the National Natural Science Foundation of China(Grant No.10401016);by the National Basic Research Program(Grant No.2005CB321701);The second author was supported in part by the National Natural Science Foundation of China(Grant No.10025102);by China MOS(Grant No.G1999032802).
In this paper we prove the uniform convergence of the standard multigrid V-cycle algorithm with the Gauss-Seidel relaxation performed only on the new nodes and their "immediate" neighbors for discrete elliptic problem...
关键词:MULTIGRID V-CYCLE algorithm  adaptive FINITE element meshes  local relaxation  Scott-Zhang interpolation. 
ON THE CONVERGENCE OF THE NONNESTED V-CYCLE MULTIGRID METHOD FOR NONSYMMETRIC AND INDEFINITE SECOND-ORDER ELLIPTIC PROBLEMS
《Journal of Computational Mathematics》2006年第2期157-168,共12页Huo-yuan Duan Qun Lin 
This paper provides a proof for the uniform convergence rate (independently of the number of mesh levels) for the nonnested V-cycle multigrid method for nonsymmetric and indefinite second-order elliptic problems.
关键词:Nonnested V-cycle multigrid method Second-order elliptic problems. 
A V-CYCLE MUTIGRID FOR QUADRILATERAL ROTATED Q_1 ELEMENT WITH NUMERICAL INTEGRATION被引量:4
《Journal of Computational Mathematics》2003年第5期545-554,共10页Zhong-ci Shi Xue-jun Xu(LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China) 
This work was supported by the Special Funds for Major State Basic Research Projects G1999032800;a grant from LIAMA.
In this paper, a V-cycle multigrid method is presented for quadrilateral rotated elements with numerical integration.
关键词:MULTIGRID Rotated Q1 elements Numerical integration. 
V-cycle multigrid methods for Wilson nonconforming element
《Science China Mathematics》2000年第7期673-684,共12页石钟慈 许学军 
Here two types of optimal V-cycle multigrid algorithms are presented for Wilson nonconforming finite element.
关键词:WILSON ELEMENT NUMERICAL integrations V-CYCLE multigrid. 
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