Xuefeng LIU

Xuefeng LIU

Niigata University

H-index: 12

Asia-Japan

About Xuefeng LIU

Xuefeng LIU, With an exceptional h-index of 12 and a recent h-index of 11 (since 2020), a distinguished researcher at Niigata University, specializes in the field of Finite element method, numerical analysis, computer-assisted proof.

His recent articles reflect a diverse array of research interests and contributions to the field:

Guaranteed estimation of Hadamard shape derivative for clustered eigenvalues

Shape optimization for the Laplacian eigenvalue over triangles and its application to interpolation error analysis

Projection-based guaranteed L2 error bounds for finite element approximations of Laplace eigenfunctions

Guaranteed local error estimation for finite element solutions of boundary value problems

Fully computable a posteriori error bounds for eigenfunctions

Error-constant estimation under the maximum norm for linear Lagrange interpolation

Robust algebraic curve intersections with tolerance control

Computer-assisted proof for the stationary solution existence of the Navier–Stokes equation over 3D domains

Xuefeng LIU Information

University

Position

Associate Professor Graduate School of Science and Technology

Citations(all)

627

Citations(since 2020)

372

Cited By

465

hIndex(all)

12

hIndex(since 2020)

11

i10Index(all)

15

i10Index(since 2020)

12

Email

University Profile Page

Niigata University

Google Scholar

View Google Scholar Profile

Xuefeng LIU Skills & Research Interests

Finite element method

numerical analysis

computer-assisted proof

Top articles of Xuefeng LIU

Title

Journal

Author(s)

Publication Date

Guaranteed estimation of Hadamard shape derivative for clustered eigenvalues

arXiv preprint arXiv:2305.14063

Ryoki Endo

Xuefeng Liu

2023/5/23

Shape optimization for the Laplacian eigenvalue over triangles and its application to interpolation error analysis

Journal of Differential Equations

Ryoki Endo

Xuefeng Liu

2023/12/15

Projection-based guaranteed L2 error bounds for finite element approximations of Laplace eigenfunctions

Journal of Computational and Applied Mathematics

Xuefeng Liu

Tomáš Vejchodský

2023/9/1

Guaranteed local error estimation for finite element solutions of boundary value problems

Journal of Computational and Applied Mathematics

Taiga Nakano

Xuefeng Liu

2023/6/1

Fully computable a posteriori error bounds for eigenfunctions

Numerische Mathematik

Xuefeng Liu

Tomáš Vejchodský

2022/9

Error-constant estimation under the maximum norm for linear Lagrange interpolation

Journal of Inequalities and Applications

Shirley Mae Galindo

Koichiro Ike

Xuefeng Liu

2022/8/13

Robust algebraic curve intersections with tolerance control

Computer-Aided Design

Wenbing Shao

Falai Chen

Xuefeng Liu

2022/6/1

Computer-assisted proof for the stationary solution existence of the Navier–Stokes equation over 3D domains

Communications in Nonlinear Science and Numerical Simulation

Xuefeng Liu

Mitsuhiro T Nakao

Shin’ichi Oishi

2022/5/1

Rigorous maximum norm estimation for polynomial systems

SCAN-2020

Xuefeng Liu

2021/9/13

Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations

Japan Journal of Industrial and Applied Mathematics

X LIU

M.T. NAKAO

C YOU

S OISHI

2021/1/2

Explicit eigenvalue bounds of differential operators defined by symmetric positive semi-definite bilinear forms

Journal of Computational and Applied Mathematics

Xuefeng Liu

2020/6/1

See List of Professors in Xuefeng LIU University(Niigata University)

Co-Authors

H-index: 53
Ligang Liu

Ligang Liu

University of Science and Technology of China

H-index: 35
Falai Chen

Falai Chen

University of Science and Technology of China

H-index: 19
Zhouwang Yang

Zhouwang Yang

University of Science and Technology of China

H-index: 12
Qin Li

Qin Li

East China Normal University

H-index: 10
Tuanfeng Y. Wang

Tuanfeng Y. Wang

University College London

H-index: 10
Akitoshi Takayasu

Akitoshi Takayasu

University of Tsukuba

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