Some remarks on the behaviour of the finite element solution in nonsmooth domains. - Mitsuhiro T. Nakao; Takehiko Kinoshita (Appl. Math. Lett., 2008)

On very accurate verification of solutions for boundary value problems by using spectral methods. - Mitsuhiro T. Nakao; Takehiko Kinoshita (JSIAM Lett., 2009)

On very accurate enclosure of the optimal constant in the a priori error estimates for H20-projection. - Takehiko Kinoshita; Mitsuhiro T. Nakao (J. Comput. Appl. Math., 2010)

A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations. - Takehiko Kinoshita; Takuma Kimura; Mitsuhiro T. Nakao (J. Comput. Appl. Math., 2011)

On a posteriori estimates of inverse operators for linear parabolic initial-boundary value problems. - Mitsuhiro T. Nakao; Takehiko Kinoshita; Takuma Kimura (Computing, 2012)

Some Remarks on the Optimal Error Estimates for the Finite Element Method on the L-Shaped Domain. - Takehiko Kinoshita; Mitsuhiro T. Nakao (ITNG, 2013)

A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations. - Yoshitaka Watanabe; Takehiko Kinoshita; Mitsuhiro T. Nakao (Math. Comput., 2013)

Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation. - Mitsuhiro T. Nakao; Takuma Kimura; Takehiko Kinoshita (SIAM J. Numer. Anal., 2013)

Some Remarks on the Rigorous Estimation of Inverse Linear Elliptic Operators. - Takehiko Kinoshita; Yoshitaka Watanabe; Mitsuhiro T. Nakao (SCAN, 2014)

On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems. - Takehiko Kinoshita; Takuma Kimura; Mitsuhiro T. Nakao (Numerische Mathematik, 2014)

H3 and H4 Regularities of the Poisson Equation on Polygonal Domains. - Takehiko Kinoshita; Yoshitaka Watanabe; Mitsuhiro T. Nakao (MACIS, 2015)

Some lower bound estimates for resolvents of a compact operator on an infinite-dimensional Hilbert space. - Takehiko Kinoshita; Yoshitaka Watanabe; Mitsuhiro T. Nakao (J. Comput. Appl. Math., 2020)

On Some Convergence Properties for Finite Element Approximations to the Inverse of Linear Elliptic Operators. - Takehiko Kinoshita; Yoshitaka Watanabe; Mitsuhiro T. Nakao (Acta Cybern., 2022)

Inclusion method of optimal constant with quadratic convergence for H01-projection error estimates and its applications. - Takehiko Kinoshita; Yoshitaka Watanabe; Nobito Yamamoto; Mitsuhiro T. Nakao (J. Comput. Appl. Math., 2023)

Efficient Approaches for Verifying the Existence and Bound of Inverse of Linear Operators in Hilbert Spaces. - Yoshitaka Watanabe; Takehiko Kinoshita; Mitsuhiro T. Nakao (J. Sci. Comput., 2023)