Xuefeng LIU
Xuefeng LIU
Associate Professor, Graduate School of Science and Technology, Niigata University
Verified email at math.sc.niigata-u.ac.jp - Homepage
Title
Cited by
Cited by
Year
Verified eigenvalue evaluation for the Laplacian over polygonal domains of arbitrary shape
X Liu, S Oishi
SIAM Journal on Numerical Analysis 51 (3), 1634-1654, 2013
732013
A framework of verified eigenvalue bounds for self-adjoint differential operators
X Liu
Applied Mathematics and Computation 267, 341-355, 2015
532015
Estimation of interpolation error constants for the P0 and P1 triangular finite elements
F Kikuchi, X Liu
Computer methods in applied mechanics and engineering 196 (37), 3750-3758, 2007
502007
Determination of the Babuska-Aziz constant for the linear triangular finite element
F Kikuchi, L Xuefeng
Japan Journal of Industrial and Applied Mathematics 23 (1), 75, 2006
412006
Analysis and estimation of error constants for P0 and P1 interpolations over triangular finite elements
X Liu, F Kikuchi
J. Math. Sci. Univ. Tokyo 17 (1), 27-78, 2010
372010
Verified computations to semilinear elliptic boundary value problems on arbitrary polygonal domains
A Takayasu, X Liu, S Oishi
Nonlinear Theory and Its Applications, IEICE 4 (1), 34-61, 2013
282013
Verified norm estimation for the inverse of linear elliptic operators using eigenvalue evaluation
K Tanaka, A Takayasu, X Liu, S Oishi
172012
Guaranteed high-precision estimation for P 0 interpolation constants on triangular finite elements
X Liu, S Oishi
Japan Journal of Industrial and Applied Mathematics 30 (3), 635-652, 2013
142013
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
M Xie, H Xie, X Liu
Japan Journal of Industrial and Applied Mathematics 35 (1), 335-354, 2018
92018
Explicit finite element error estimates for nonhomogeneous Neumann problems
Q Li, X Liu
Applications of Mathematics 63 (3), 367-379, 2018
72018
Remarks on computable a priori error estimates for finite element solutions of elliptic problems
A Takayasu, X Liu, S Oishi
Nonlinear Theory and Its Applications, IEICE 5 (1), 53-63, 2014
72014
High-precision eigenvalue bound for the Laplacian with singularities
X Liu, T Okayama, S Oishi
Computer Mathematics, 311-323, 2014
62014
A subdivision scheme for volumetric models
G Mustafa, L Xuefeng
Applied Mathematics-A Journal of Chinese Universities 20 (2), 213-224, 2005
62005
Guaranteed eigenvalue bounds for the Steklov eigenvalue problem
C You, H Xie, X Liu
SIAM Journal on Numerical Analysis 57 (3), 1395-1410, 2019
52019
环面构造管道拼接曲面的方法及其连续性
刘雪峰
中国科学技术大学学报 34 (1), 20-28, 2004
52004
Explicit bound for quadratic Lagrange interpolation constant on triangular finite elements
X Liu, C You
Applied Mathematics and Computation 319, 693-701, 2018
42018
Global stiffness structural optimization for 3D printing under unknown loads
YT Wang, Y Liu, X Liu, Z Yang, DM Yan, L Liu
42016
Verified eigenvalue evaluation for Laplace operator on arbitrary polygonal domain (Mathematical foundation and development of algorithms for scientific computing)
X Liu, S Oishi
京都大学数理解析研究所, 2011
42011
血管的三维重建
徐晋, 刘雪峰, 柏容刚
工程数学学报 19 (F02), 35-40, 2002
32002
Estimation of error constants appearing in non-conforming linear triangular finite element
X Liu, F Kikuchi
Proceedings of APCOM, 0
3
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Articles 1–20