10 citations · 19 across the 21 of their papers we have counts for
4 papers · 1 filter
Explicit a posteriori local error estimation for FEM solutions
Taiga Nakano, Xuefeng Liu
For the finite element solution of Poisson's equation, a local a posteriori error estimation based on the Hypercircle method is proposed. Even for the solution of Poisson's equatio…
Explicit eigenvalue bounds of differential operators defined by symmetric positive semi-definite bilinear forms
Xuefeng Liu
Recently, the eigenvalue problems formulated with symmetric positive definite bilinear forms have been well investigated with the aim of explicit bounds for the eigenvalues. In thi…
Fully computable a posteriori error bounds for eigenfunctions
Xuefeng Liu, Tomáš Vejchodský
For compact self-adjoint operators in Hilbert spaces, two algorithms are proposed to provide fully computable a posteriori error estimate for eigenfunction approximation. Both algo…
Optimal estimation for the Fujino-Morley interpolation error constants
Shih-Kang Liao, Yu-Chen Shu, Xuefeng Liu
The quantitative estimation for the interpolation error constants of the Fujino-Morley interpolation operator is considered. To give concrete upper bounds for the constants, which…