Makoto Okumura, Takeshi Fukao. Structure-preserving schemes for Cahn-Hilliard equations with dynamic boundary conditions. Discrete and Continuous Dynamical Systems - S. 2024. 17. 1. 362-394
Keisuke Imafuku, Hiroaki Iwata, Ken Natsuga, Makoto Okumura, Yasuaki Kobayashi, Hiroyuki Kitahata, Akiharu Kubo, Masaharu Nagayama, Hideyuki Ujiie. Zonula occludens-1 distribution and barrier functions are affected by epithelial proliferation and turnover rates. Cell Proliferation. 2023
Makoto Okumura, Takeshi Fukao, Daisuke Furihata, Shuji Yoshikawa. A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition. Communications on Pure & Applied Analysis. 2022. 21. 2. 355-355
Makoto Okumura, Takeshi Fukao. A new structure-preserving scheme with the staggered space mesh for the Cahn-Hilliard equation under a dynamic boundary condition. Advances in Mathematical Sciences and Applications. 2021. 30. 2. 347-376
Chiharu Kosugi, Toyohiko Aiki, Martijn Anthonissen, Makoto Okumura. Numerical results for ordinary and partial differential equations describing motions of elastic materials. Advances in Mathematical Sciences and Applications. 2021. 30. 2. 387-414
Makoto Okumura. A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition. 2020. 1-32
講演・口頭発表等 (71件):
Structure-preserving schemes for the Cahn-Hilliard equation with forward-backward dynamic boundary conditions and its applications
(Italo-Japanese Workshop on Variational Perspectives for PDEs 2024)