3 papers
math.NA2021
Guaranteed a posteriori local error estimation for finite element solutions of boundary value problems
Taiga Nakano, Xuefeng Liu
This paper considers the finite element solution of the boundary value problem of Poisson's equation and proposes a guaranteed em a posteriori local error estimation based on the h…
math.NA2020
Guaranteed lower eigenvalue bounds for Steklov operators using conforming finite element methods
Taiga Nakano, Qin Li, Meiling Yue +1
For the eigenvalue problem of the Steklov differential operator, by following Liu's approach, an algorithm utilizing the conforming finite element method (FEM) is proposed to provi…
math.NA2019
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…