10 citations · 19 across the 21 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NA2018★ 2 cited
Guaranteed eigenvalue bounds for the Steklov eigenvalue problem
Chun'guang You, Hehu Xie, Xuefeng Liu
To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is…
math.NA2018
Explicit Estimation of Error Constants Appearing in Non-conforming Linear Triangular Finite Element
Xuefeng Liu, Fumio Kikuchi
The non-conforming linear () triangular FEM can be viewed as a kind of the discontinuous Galerkin method, and is attractive in both theoretical and practical senses. Since var…
math.NA2018
Explicit Finite Element Error Estimates for Nonhomogeneous Neumann problems
Qin Li, Xuefeng Liu
The paper develops an explicit a priori error estimate for finite element solution to nonhomogeneous Neumann problems. For this purpose, the hypercircle equation over finite elemen…