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>>
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...
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...
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...
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...
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...
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...
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.