Jinchao Xu

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Long ChenProfessor for Mathematics, University of California at IrvineVerified email at math.uci.edu
Pengtao SunProfessor of Mathematics, University of Nevada Las VegasVerified email at unlv.edu
Xiaozhe HuTufts UniversityVerified email at tufts.edu
Chen-Song ZhangAcademy of Mathematics and Systems ScienceVerified email at lsec.cc.ac.cn
Young-Ju LeeProfessor of Mathematics, Texas State UniversityVerified email at txstate.edu
Guangri XueComputational Mathematician, Research Scientist at ShellVerified email at shell.com
Ralf HiptmairETH Zurich, Seminar for Applied MathematicsVerified email at hiptmair.de
Yunrong ZhuDepartment of Mathematics and Statistics, Idaho State UniversityVerified email at isu.edu
Michael HolstProfessor of Mathematics and Physics, UC San DiegoVerified email at ucsd.edu
Constantin BacutaUniversity of DelawareVerified email at math.udel.edu
Xue-Cheng TaiNorwegian Research Center (NORCE)Verified email at norceresearch.no
Liuqiang ZhongProfessor of Mathematics, South China Normal UniversityVerified email at scnu.edu.cn
Mingchao CaiProf, Dept Math, Morgan State UniversityVerified email at morgan.edu
Gabriel WittumVerified email at g-csc.de
T F ChanPresident, King Abdullah University of Science & TechnologyVerified email at kaust.edu.sa

Jinchao Xu

Professor of Applied Mathematics and Computational Sciences, KAUST

Verified email at kaust.edu.sa - Homepage

Numerical analysis multigrid domain decomposition finite element method machine learning


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Iterative methods by space decomposition and subspace correction J Xu SIAM review 34 (4), 581-613, 1992	1655	1992
Parallel multilevel preconditioners JH Bramble, JE Pasciak, J Xu Mathematics of computation 55 (191), 1-22, 1990	1105	1990
Two-Grid Discretization Techniques for Linear and Nonlinear PDEs J Xu SIAM journal on numerical analysis 33 (5), 1759-1777, 1996	822	1996
A novel two-grid method for semilinear elliptic equations J Xu SIAM Journal on Scientific Computing 15 (1), 231-237, 1994	627	1994
Nodal auxiliary space preconditioning in H (curl) and H (div) spaces R Hiptmair, J Xu SIAM Journal on Numerical Analysis 45 (6), 2483-2509, 2007	423	2007
Convergence estimates for multigrid algorithms without regularity assumptions JH Bramble, JE Pasciak, JP Wang, J Xu Mathematics of Computation 57 (195), 23-45, 1991	406	1991
Convergence estimates for product iterative methods with applications to domain decomposition JH Bramble, JE Pasciak, JP Wang, J Xu Mathematics of Computation 57 (195), 1-21, 1991	395	1991
Theory of multilevel methods J Xu Cornell University, 1989	366	1989
ReLU deep neural networks and linear finite elements J He, L Li, J Xu, C Zheng arXiv preprint arXiv:1807.03973, 2018	358	2018
A monotone finite element scheme for convection-diffusion equations J Xu, L Zikatanov Mathematics of Computation 68 (228), 1429-1446, 1999	352	1999
Some estimates for a weighted 𝐿² projection JH Bramble, J Xu Mathematics of computation 56 (194), 463-476, 1991	350	1991
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms JH Bramble, JE Pasciak, J Xu Mathematics of Computation 56 (193), 1-34, 1991	326	1991
Some nonoverlapping domain decomposition methods J Xu, J Zou SIAM review 40 (4), 857-914, 1998	325	1998
The method of alternating projections and the method of subspace corrections in Hilbert space J Xu, L Zikatanov Journal of the American Mathematical Society 15 (3), 573-597, 2002	312	2002
A two-grid method of a mixed Stokes–Darcy model for coupling fluid flow with porous media flow M Mu, J Xu SIAM journal on numerical analysis 45 (5), 1801-1813, 2007	310	2007
Some observations on Babu\vs} ka and Brezzi theories J Xu, L Zikatanov Numerische Mathematik 94 (1), 195-202, 2003	293	2003
A two-grid discretization scheme for eigenvalue problems J Xu, A Zhou Mathematics of Computation 70 (233), 17-25, 2001	290	2001
Optimal delaunay triangulations L Chen, J Xu Journal of Computational Mathematics, 299-308, 2004	284	2004
Local and parallel finite element algorithms based on two-grid discretizations J Xu, A Zhou Mathematics of Computation 69 (231), 881-909, 2000	271	2000
Algebraic multigrid methods J Xu, L Zikatanov Acta Numerica 26, 591-721, 2017	269	2017

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