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J-GLOBAL ID:201201080043042499
Update date: Jun. 05, 2024
Oikawa Issei
オイカワ イッセイ | Oikawa Issei
Affiliation and department:
Research field (2):
Applied mathematics and statistics
, Basic mathematics
Research keywords (4):
HDG Method
, Discontinuous Galerkin Method
, Finite Element Method
, Numerical Analysis
Research theme for competitive and other funds (8):
- 2022 - 2027 HDG法における反復型領域分割法の開発
- 2021 - 2026 New development of numerical analysis based on the space-time variational method
- 2020 - 2022 Superconvergent HDG methods for the biharmonic equation
- 2017 - 2020 ハイブリッド型不連続Galerkin法の新展開
- 2015 - 2019 A new development of mathematical theory of Discontinuous Galerkin FEM
- 2015 - 2017 What is ``good" shape of elements in FEM
- 2014 - 2017 Development of the hybridized discontinuous method and its mathematical analysis
- 2009 - 2010 不連続Galerkin法による偏微分方程式の数値解析の研究
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Papers (18):
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Issei Oikawa. A flux-based HDG method. Numerical Methods for Partial Differential Equations. 2024
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Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung, Ming-Cheng Shiue. An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface. Applied Numerical Mathematics. 2021. 165. 83-118
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Guanyu Zhou, Issei Oikawa, Takahito Kashiwabara. The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary. Journal of Computational and Applied Mathematics. 2021. 383. 113123-113123
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Zhou, Guanyu, Kashiwabara, Takahito, Oikawa, Issei, Chung, Eric, Shiue, Ming-Cheng. Some DG schemes for the Stokes-Darcy problem using P1/P1 element. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS. 2019. 36. 3. 1101-1128
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Kashiwabara, Takahito, Oikawa, Issei, Zhou, Guanyu. PENALTY METHOD WITH CROUZEIX-RAVIART APPROXIMATION FOR THE STOKES EQUATIONS UNDER SLIP BOUNDARY CONDITION. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 2019. 53. 3. 869-891
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MISC (11):
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Issei Oikawa. FreeFEM Codes of the HDG method for Convection-Diffusion and Stokes Problems. 2024
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Issei Oikawa. FreeFEM and FEniCS Codes of the HDG method for Poisson Equation. 2024
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及川 一誠. 【書評】菊地文雄 著 『数値計算の誤差と精度』. 2023
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Tutorial : From FEM to Discontinuous Galerkin Methods(4)Applications of the HDG Method. 2017. 27. 4. 177-182
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Tutorial : From FEM to Discontinuous Galerkin Methods(3)Solving Poisson's Equation by the HDG Method. 2017. 27. 3. 124-129
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Education (1):
- - 2012 University of Tokyo Graduate School, Division of Mathematical Sciences
Awards (2):
- 2015/09 - Japan Society for Industrial and Applied Mathnematics Best paper award (JSIAM Letters) Hybridized discontinuous Galerkin method with lifting operator (JSIAM LettersVol.2 (2010) pp.99-102)
- 2014/06 - Japan Society for Industrial and Applied Mathematics JSIAM Young Scientist Presentation Award
Association Membership(s) (2):
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