# Publications/Talks

## Publications

### Submitted preprints

[P3] Coming soon.

[P2] H. Ishizaka: Anisotropic modified Crouzeix-Raviart finite element method for the stationary Navier-Stokes equation. [Arxiv]

[P1] H. Ishizaka: Morley finite element analysis for fourth-order elliptic equations under a semi-regular mesh condition. [Arxiv]

### Publications in peer-reviewed journals

[7] H. Ishizaka: Hybrid weakly over-penalised symmetric interior penalty method on anisotropic meshes. Calcolo 61, 45 (2024) [Arxiv] [DOI]

[6] H. Ishizaka: Anisotropic weakly over-penalised symmetric interior penalty method for the Stokes equation. Journal of Scientific Computing 100, 53 (2024) [Arxiv] [DOI]

[5] H. Ishizaka, K. Kobayashi, T. Tsuchiya: Anisotropic interpolation error estimates using a
new geometric parameter. Jpn. J. Ind. Appl. Math. 40 (1), 475-512 (2023) [Japan Journal of Industrial and Applied Mathematics] [DOI]

[4] H. Ishizaka: Anisotropic Raviart-Thomas interpolation error estimates using a new geometric parameter. Calcolo, 59 (4), (2022) [Arxiv] [Calcolo] [DOI]

[3] H. Ishizaka, K. Kobayashi, R. Suzuki, T. Tsuchiya: A new geometric condition equivalent to the maximum angle condition for tetrahedrons. Computers & Mathematics with Applications 99, 323-328 (2021) [Computers & Mathematics with Applications] [DOI]

[2] H. Ishizaka, K. Kobayashi, T. Tsuchiya: Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition. Jpn. J. Ind. Appl. Math. 38 (2), 645-675 (2021) [ResearchGate] [DOI]

[1] H. Ishizaka, K. Kobayashi, T. Tsuchiya: General theory of interpolation error estimates on anisotropic meshes. Jpn. J. Ind. Appl. Math. 38 (1), 163-191 (2021) [ResearchGate] [DOI]

Correction to: General theory of interpolation error estimates on anisotropic meshes. [Link]

## Notes

[1] H. Ishizaka: Note on a weakly over-penalised symmetric interior
penalty method on anisotropic meshes for the
Poisson equation, Ver. 1

## Presentations

[4] H. Ishizaka and T. Tsuchiya, Error analysis of Crouzeix–Raviart finite element methods on anisotropic meshes, Joint Conference on Applied Mathematics, The Mathematical Society of Japan, 12 December 2019, Ryukoku University, Shiga

[3] H. Ishizaka and T. Tsuchiya, Error analysis of Crouzeix-Raviart finite element method without the shape regularity condition, The Mathematical Society of Japan, 17 September 2019, Kanazawa University, Ishikawa

[2] H. Ishizaka and T. Tsuchiya, Error analysis of Crouzeix-Raviart finite element method without the shape regularity condition, The Japan Society for Industrial and Applied Mathematics, 03 September 2019, Tokyo University, Tokyo

[1] H. Ishizaka and M. Tabata, An finite element analysis of the two-dimensional micro scale heat transport equations, The Japan Society for Industrial and Applied Mathematics, March 2007, Nagoya University, Aichi

## Theses

[PhD Thesis] Anisotropic interpolation error analysis using a new geometric parameter and its applications

[Master Thesis] Mathematical analysis of a linearised equation accompanied with a two-phase flow problem