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

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Papers (18)：

Issei Oikawa. A flux-based HDG method. Numerical Methods for Partial Differential Equations. 2024
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
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
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
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)：

Issei Oikawa. FreeFEM Codes of the HDG method for Convection-Diffusion and Stokes Problems. 2024
Issei Oikawa. FreeFEM and FEniCS Codes of the HDG method for Poisson Equation. 2024
及川一誠. 【書評】菊地文雄著『数値計算の誤差と精度』. 2023
Tutorial : From FEM to Discontinuous Galerkin Methods(4)Applications of the HDG Method. 2017. 27. 4. 177-182
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)：

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)：

日本数学会 , 日本応用数理学会

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