Edit Profile (opens in new tab) Notsu, Hirofumi Co-Author Distance Author ID: notsu.hirofumi Published as: Notsu, Hirofumi; Notsu, H. Documents Indexed: 26 Publications since 2002, including 4 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 27 Co-Authors with 27 Joint Publications 432 Co-Co-Authors all top 5 Co-Authors 0 single-authored 8 Kimura, Masato 8 Tabata, Masahisa 4 Simon, John Sebastian H. 2 Futai, Kouta 2 Kolbe, Niklas 2 Lukáčová-Medviďová, Mária 2 Mizerová, Hana 2 Murshed, Muhammad Masum 1 Hsu, Pen-Yuan 1 Jimbo, Shuichi 1 Matsui, Kazunori 1 Medeiros, Debora D. 1 Mizuochi, Tatsuki 1 Muntean, Adrian 1 Oishi, Cassio M. 1 Putri, Kharisma Surya 1 Rabago, Julius Fergy Tiongson 1 Rasid, Md Mamunur 1 Suzuki, Tasuku 1 Tanaka, Yoshimi 1 Ueyama, Daishin 1 van Meurs, Patrick 1 Wijaya, Imam 1 Wijayanti, Erny Rahayu 1 Yamaguchi, Masahiro 1 Yamamoto, Hiroki 1 Yoneda, Tsuyoshi all top 5 Serials 4 Journal of Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Applied Mathematics Letters 2 Japan Journal of Industrial and Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Fluid Mechanics 1 Applied Mathematics and Optimization 1 SIAM Journal on Numerical Analysis 1 Asymptotic Analysis 1 Computational and Applied Mathematics 1 Networks and Heterogeneous Media 1 Evolution Equations and Control Theory 1 Mathematics for Industry all top 5 Fields 17 Fluid mechanics (76-XX) 16 Numerical analysis (65-XX) 12 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 104 times in 65 Documents Cited by ▼ Year ▼ Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations. Zbl 1330.76077 Notsu, Hirofumi; Tabata, Masahisa 23 2015 Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. Zbl 1381.76192 Notsu, Hirofumi; Tabata, Masahisa 20 2016 A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations. Zbl 1203.76086 Notsu, Hirofumi; Tabata, Masahisa 20 2009 Numerical analysis of the Oseen-type peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. II: A linear scheme. Zbl 1421.76160 Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa 11 2017 Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. I: A nonlinear scheme. Zbl 1421.76159 Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa 9 2017 A level set method using the signed distance function. Zbl 1016.65068 Kimura, Masato; Notsu, Hirofumi 5 2002 Error estimates of a stabilized Lagrange-Galerkin scheme of second-order in time for the Navier-Stokes equations. Zbl 1366.76072 Notsu, Hirofumi; Tabata, Masahisa 4 2016 A local analysis of the axisymmetric Navier-Stokes flow near a saddle point and no-slip flat boundary. Zbl 1462.76006 Hsu, P.-Y.; Notsu, H.; Yoneda, T. 3 2016 Stabilized Lagrange-Galerkin schemes of first- and second-order in time for the Navier-Stokes equations. Zbl 1356.76206 Notsu, Hirofumi; Tabata, Masahisa 2 2016 A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems. Zbl 1490.65193 Futai, Kouta; Kolbe, Niklas; Notsu, Hirofumi; Suzuki, Tasuku 2 2022 The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme. Zbl 1461.35012 Kimura, Masato; Notsu, Hirofumi; Tanaka, Yoshimi; Yamamoto, Hiroki 1 2019 Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity. Zbl 1302.74019 Notsu, Hirofumi; Kimura, Masato 1 2014 A convective boundary condition for the Navier-Stokes equations. Zbl 1513.76061 Simon, John Sebastian H.; Notsu, Hirofumi 1 2022 Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition. Zbl 1462.65110 Murshed, Md. Masum; Futai, Kouta; Kimura, Masato; Notsu, Hirofumi 1 2021 A shape optimization problem constrained with the Stokes equations to address maximization of vortices. Zbl 1498.49080 Simon, John Sebastian; Notsu, Hirofumi 1 2022 A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems. Zbl 1490.65193 Futai, Kouta; Kolbe, Niklas; Notsu, Hirofumi; Suzuki, Tasuku 2 2022 A convective boundary condition for the Navier-Stokes equations. Zbl 1513.76061 Simon, John Sebastian H.; Notsu, Hirofumi 1 2022 A shape optimization problem constrained with the Stokes equations to address maximization of vortices. Zbl 1498.49080 Simon, John Sebastian; Notsu, Hirofumi 1 2022 Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition. Zbl 1462.65110 Murshed, Md. Masum; Futai, Kouta; Kimura, Masato; Notsu, Hirofumi 1 2021 The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme. Zbl 1461.35012 Kimura, Masato; Notsu, Hirofumi; Tanaka, Yoshimi; Yamamoto, Hiroki 1 2019 Numerical analysis of the Oseen-type peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. II: A linear scheme. Zbl 1421.76160 Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa 11 2017 Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. I: A nonlinear scheme. Zbl 1421.76159 Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa 9 2017 Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. Zbl 1381.76192 Notsu, Hirofumi; Tabata, Masahisa 20 2016 Error estimates of a stabilized Lagrange-Galerkin scheme of second-order in time for the Navier-Stokes equations. Zbl 1366.76072 Notsu, Hirofumi; Tabata, Masahisa 4 2016 A local analysis of the axisymmetric Navier-Stokes flow near a saddle point and no-slip flat boundary. Zbl 1462.76006 Hsu, P.-Y.; Notsu, H.; Yoneda, T. 3 2016 Stabilized Lagrange-Galerkin schemes of first- and second-order in time for the Navier-Stokes equations. Zbl 1356.76206 Notsu, Hirofumi; Tabata, Masahisa 2 2016 Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations. Zbl 1330.76077 Notsu, Hirofumi; Tabata, Masahisa 23 2015 Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity. Zbl 1302.74019 Notsu, Hirofumi; Kimura, Masato 1 2014 A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations. Zbl 1203.76086 Notsu, Hirofumi; Tabata, Masahisa 20 2009 A level set method using the signed distance function. Zbl 1016.65068 Kimura, Masato; Notsu, Hirofumi 5 2002 all cited Publications top 5 cited Publications all top 5 Cited by 92 Authors 11 Notsu, Hirofumi 8 Tabata, Masahisa 5 Bermejo, Rodolfo 5 Kim, Philsu 4 Bak, Soyoon 4 El-Amrani, Mofdi 4 Li, Xiaoli 4 Lukáčová-Medviďová, Mária 4 Rui, Hongxing 4 Saavedra, Laura 4 Seaïd, Mohammed 4 Uchiumi, Shinya 3 Jiang, Yaolin 3 Piao, Xiangfan 3 Salhi, Loubna 2 Brunk, Aaron 2 Hsu, Pen-Yuan 2 Ishii, Katsuyuki 2 Kimura, Masato 2 Mizerová, Hana 2 Nakazawa, Takashi 2 Nečasová, Šárka 2 Park, Sangbeom 2 She, Bangwei 2 Si, Zhiyong 2 Simon, John Sebastian H. 2 Wang, Na 2 Yoneda, Tsuyoshi 1 Al Mahbub, Md. Abdullah 1 Bu, Sunyoung 1 Carpio, Jaime 1 Chambolle, Antonin 1 Chen, Chuanjun 1 Chen, Mingwen 1 Chen, Shuangshuang 1 Chen, Xuehui 1 Chu, Tianyang 1 Colera, Manuel 1 Dorodnitsyn, Vladimir A. 1 Esedoglu, Selim 1 Feireisl, Eduard 1 Futai, Kouta 1 Ganesan, Sashikumaar 1 Giga, Yoshikazu 1 Gu, Zhongyang 1 Haggar, Mahamat Saleh Daoussa 1 Han, Weiwei 1 Hasegawa, Yosuke 1 He, Yinnian 1 Hussain, Shahid 1 Izumi, Takahiro 1 Jeon, Yonghyeon 1 Kanayama, Hiroshi 1 Kaptsov, Evgeniy I. 1 Kim, Dojin 1 Kolbe, Niklas 1 Li, Buyang 1 Li, Jun 1 Lichtenfelz, Leandro A. 1 Long, Xiaohan 1 Ma, Shu 1 Marazzato, Frédéric 1 Mbehou, Mohamed 1 Medeiros, Debora D. 1 Miao, Zhen 1 Misaka, Takashi 1 Nakajima, Chihiro H. 1 Nasu, Nasrin Jahan 1 Novaga, Matteo 1 Novotný, Antonín 1 Oishi, Cassio M. 1 Pal, Birupaksha 1 Rabago, Julius Fergy Tiongson 1 Ravindran, Sivaguru S. 1 Renardy, Michael 1 Ruuth, Steven J. 1 Sunayama, Yosuke 1 Suzuki, Tasuku 1 Tahar, H. Olei 1 Tsai, Yen-Hsi Richard 1 Wang, Jilu 1 Wang, Yunxia 1 Wijaya, Imam 1 Xie, Hanbing 1 Yang, Jingyu 1 Yang, Weidong 1 Yang, Yunbo 1 Zhang, Tong 1 Zhang, Yunzhang 1 Zhang, Zhimin 1 Zheng, Haibiao 1 Zheng, Liancun all top 5 Cited in 39 Serials 6 Journal of Computational Physics 5 Journal of Scientific Computing 4 Computers & Mathematics with Applications 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 2 Nonlinearity 2 Applied Mathematics and Computation 2 Numerical Methods for Partial Differential Equations 2 Japan Journal of Industrial and Applied Mathematics 2 International Journal of Computational Fluid Dynamics 1 Computer Physics Communications 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Computational Mechanics 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Interdisciplinary Information Sciences (IIS) 1 Computational Methods in Applied Mathematics 1 Multiscale Modeling & Simulation 1 International Journal of Computational Methods 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Pure and Applied Mathematics 1 Communications in Applied and Industrial Mathematics 1 Evolution Equations and Control Theory 1 Mathematics 1 Results in Applied Mathematics all top 5 Cited in 11 Fields 50 Fluid mechanics (76-XX) 48 Numerical analysis (65-XX) 25 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Mechanics of deformable solids (74-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year