Oikawa Issei

Affiliation

Faculty of Pure and Applied Sciences

Official title

Associate Professor

Research fields

Foundations of mathematics/Applied mathematics

Research keywords

Domain Decomposition Method
Numerical Analysis
Numerical Method
Finite Element Method
HDG Method
Discontinuous Galerkin Method
Error Analysis
Partial Differential Equation
Penalty Method
Superconvergence

Degree

2012-03	博士（数理科学）	東京大学

Academic societies

2008 -- (current)	The Japan Society for Industrial and Applied Mathematics
2008 -- (current)	The Mathematical Society of Japan

Articles

• An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface
  Zhou Guanyu; Kashiwabara Takahito; Oikawa Issei; Chung...
  APPLIED NUMERICAL MATHEMATICS/165/pp.83-118, 2021-07
• The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary
  Zhou Guanyu; Oikawa Issei; Kashiwabara Takahito
  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS/383, 2021-02
• Tutorial : From FEM to Discontinuous Galerkin Methods(4)Applications of the HDG Method
  及川 一誠; 菊地 文雄
  応用数理/27(4)/pp.177-182, 2017-12
  
  CiNii
• Tutorial : From FEM to Discontinuous Galerkin Methods(3)Solving Poisson's Equation by the HDG Method
  及川 一誠; 菊地 文雄
  応用数理/27(3)/pp.124-129, 2017-09
  
  CiNii
• Tutorial : From FEM to Discontinuous Galerkin Methods(2)Formulations for 2D Poisson's Equation and Their Mathematical Properties
  菊地 文雄; 及川 一誠
  応用数理/27(2)/pp.80-85, 2017-06
  
  CiNii
• Tutorial : From FEM to Discontinuous Galerkin Methods(1)Introduction and Historical Comments
  菊地 文雄; 及川 一誠
  応用数理/27(1)/pp.36-41, 2017-03
  
  CiNii
• 不連続ガレルキン有限要素法の理論と応用 (科学技術計算における理論と応用の新展開)
  菊地文雄; 及川 一誠
  数理解析研究所講究録/1791/pp.164-171, 2012-04
• ハイブリッド型不連続ガレルキン有限要素法 ---多角形要素の開発---
  菊地 文雄; 石井 惠三; 及川 一誠
  理論応用力学講演会 講演論文集, 2008-09
• Some DG schemes for the Stokes-Darcy problem using P1/P1 element
  Guanyu Zhou; Takahito Kashiwabara; Issei Oikawa; Eric Ch...
  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2019-09
• PENALTY METHOD WITH CROUZEIX-RAVIART APPROXIMATION FOR THE STOKES EQUATIONS UNDER SLIP BOUNDARY CONDITION
  Kashiwabara Takahito; Oikawa Issei; Zhou Guanyu
  ESAIM:M2AN/53(5)/pp.869-891, 2019-06
• An HDG Method with Orthogonal Projections in Facet Integrals
  Oikawa Issei
  Journal of Scientific Computing/76/p.1044, 2018-01
• A penalty method for the time-dependent Stokes problem with the slip boundary condition and its finite element approximation
  Zhou Guanyu; Kashiwabara Takahito; Oikawa Issei
  APPLICATIONS OF MATHEMATICS/62(4)/pp.377-403, 2017-08
• Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition
  Kashiwabara Takahito; Oikawa Issei; Zhou Guanyu
  NUMERISCHE MATHEMATIK/134(4)/pp.705-740, 2016-12
• Penalty Method for the Stationary Navier–Stokes Problems Under the Slip Boundary Condition
  Zhou Guanyu; Oikawa Issei; Kashiwabara Takahito
  Journal of Scientific Computing/68(1)/pp.339-374, 2016-07
• Analysis of a Reduced-Order HDG Method for the Stokes Equations
  Oikawa Issei
  JOURNAL OF SCIENTIFIC COMPUTING/67(2)/pp.475-492, 2016-05
• A Hybridized Discontinuous Galerkin Method with Reduced Stabilization
  Oikawa Issei
  Journal of Scientific Computing/65(1)/pp.327-340, 2015
• Hybridized discontinuous Galerkin method for convection-diffusion problems
  及川 一誠
  Japan Journal of Industorial and Applied Mathematics/31(2)/pp.335-354, 2014
• Remarks on numerical integration of norm
  Kashiwabara Takahito; Oikawa Issei
  JSIAM Letters/5/pp.5-8, 2013
  
  CiNii
• Hybridized discontinuous Galerkin method with lifting operator
  Oikawa Issei
  JSIAM Letters/2/pp.99-102, 2010
  
  CiNii
• Discontinuous Galerkin FEM of hybrid type
  Oikawa Issei; Kikuchi Fumio
  JSIAM Letters/2/pp.49-52, 2010
  
  CiNii
• Discontinuous Galerkin FEM of Hybrid Displacement Type—Development of Polygonal Elements—
  KIKUCHI Fumio; ISHII Keizo; OIKAWA Issei
  Theoretical and Applied Mechanics Japan/57/pp.395-404, 2009
  
  CiNii

Conference, etc.

• HDG法の超収束について
  及川 一誠
  AIMaP集会【離散微分幾何と有限要素法の融合．建築とCGヘの応用】/2020-12-23--2020-12-23

Teaching

2021-04 -- 2021-08	Research in Information Mathematics IIA	University of Tsukuba.
2021-10 -- 2022-02	Research in Information Mathematics IA	University of Tsukuba.
2021-04 -- 2021-08	Research in Information Mathematics IIIA	University of Tsukuba.
2021-04 -- 2021-08	Research in Information Mathematics IA	University of Tsukuba.
2021-04 -- 2021-08	Research in Information Mathematics IIB	University of Tsukuba.
2021-10 -- 2022-02	Research in Information Mathematics IIIA	University of Tsukuba.
2021-04 -- 2021-08	Research in Mathematics of Information IB	University of Tsukuba.
2021-10 -- 2022-02	Research in Information Mathematics IIA	University of Tsukuba.
2021-04 -- 2021-08	Research in Mathematics of Information IIB	University of Tsukuba.
2021-10 -- 2022-02	Research in Mathematics of Information VB	University of Tsukuba.
more...

Other educational activities

2021-05 -- 2021-06	集中講義「数理科学特論１６」	九州大学

Professional activities

2020-04 -- (current)	The Japan Society for Industrial and Applied Mathematics (JSIAM)	「応用数理」編集委員

University Management

2021-04 -- 2022-03	理工学群広報委員会
2020-04 -- 2022-03	「筑波数学ジャーナル」 編集委員会	編集委員

(Last updated: 2022-06-14)