Takuya Tsuchiya

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 21

Top Topics

Finite Element Methods

Numerical Simulations

Top Venues

J. Approx. Theory

Comput. Math. Appl.

Publications

Kenta Kobayashi, Takuya Tsuchiya
Error estimation for finite element method on meshes that contain thin elements. CoRR (2024)
Hidetomo Hoshino, Takuya Tsuchiya, Gen Yoneda
Stability analysis and improvement of the covariant BSSN formulation against the FLRW spacetime background. CoRR (2024)
Takuya Tsuchiya, Makoto Nakamura
Numerical accuracy and stability of semilinear Klein-Gordon equation in de Sitter spacetime. JSIAM Lett. 15 (2023)
Takuya Tsuchiya, Makoto Nakamura
Numerical simulations of semi-linear Klein-Gordon equations in the de Sitter spacetime with structure preserving scheme. CoRR (2022)
Takuya Tsuchiya, Ryosuke Urakawa, Gen Yoneda
Stable numerical simulation of Einstein equations in gravitational collapse space-time. JSIAM Lett. 14 (2022)
Takuya Tsuchiya, Makoto Nakamura
Numerical accuracy and stability of semilinear Klein-Gordon equation in de Sitter spacetime. CoRR (2022)
Hiroki Ishizaka, Kenta Kobayashi, Ryo Suzuki, Takuya Tsuchiya
A new geometric condition equivalent to the maximum angle condition for tetrahedrons. CoRR (2021)
Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya
General theory of interpolation error estimates on anisotropic meshes, part II. CoRR (2021)
Hiroki Ishizaka, Kenta Kobayashi, Ryo Suzuki, Takuya Tsuchiya
A new geometric condition equivalent to the maximum angle condition for tetrahedrons. Comput. Math. Appl. 99 (2021)
Kenta Kobayashi, Takuya Tsuchiya
Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons. CoRR (2021)
Aymeric Grodet, Takuya Tsuchiya
Reorganizing topologies of Steiner trees to accelerate their eliminations. Discret. Math. Algorithms Appl. 12 (1) (2020)
Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya
Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition. CoRR (2020)
Takahito Kashiwabara, Takuya Tsuchiya
A robust discontinuous Galerkin scheme on anisotropic meshes. CoRR (2020)
Kenta Kobayashi, Takuya Tsuchiya
Error analysis of Lagrange interpolation on tetrahedrons. J. Approx. Theory 249 (2020)
Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya
General theory of interpolation error estimates on anisotropic meshes. CoRR (2020)
Kenta Kobayashi, Takuya Tsuchiya
Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption and its applications to finite element methods, Part 1: two-dimensional Lagrange interpolation. CoRR (2019)
Takuya Tsuchiya, Makoto Nakamura
On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the de Sitter spacetime. J. Comput. Appl. Math. 361 (2019)
Ryosuke Urakawa, Takuya Tsuchiya, Gen Yoneda
Analyzing time evolution of constraint equations of Einstein's equation. JSIAM Lett. 11 (2019)
Takuya Tsuchiya, Gen Yoneda
Constructing of constraint preserving scheme for Einstein equations. JSIAM Lett. 9 (2017)
Takuya Tsuchiya, Toshihiro Osaragi, Takuya Oki
Influence of Information-Hearsay on Wide-Area Evacuation at a Large Earthquake. ISCRAM (2015)
Aymeric Grodet, Takuya Tsuchiya
An adaptive algorithm for the Euclidean Steiner tree problem in d-space. CoRR (2015)
Takashi Suzuki, Takuya Tsuchiya
Convergence analysis of trial free boundary methods for the two-dimensional filtration problem. Numerische Mathematik 100 (3) (2005)
Takuya Tsuchiya
Precise finite element error analysis by Yamamoto's explicit inversion formula for tridiagonal matrices - an extension of Babuška-Osborn's theorems. Numerische Mathematik 94 (3) (2003)
Yuki Matsuzawa, Takashi Suzuki, Takuya Tsuchiya
Finite element approximation of H - surfaces. Math. Comput. 72 (242) (2003)
Takuya Tsuchiya
An application of the Kantorovich theoremto nonlinear finite element analysis. Numerische Mathematik 84 (1) (1999)