Study on numerical methods of wave propagation phenomena and its applications to information and energy transmission problems

• Project/Area Number: 21540116
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: The University of Electro-Communications
• Principal Investigator: KAKO Takashi 電気通信大学, 電気通信学部, 教授 (30012488)
• Co-Investigator(Kenkyū-buntansha): IMAMURA Toshiyuki 電気通信大学, 情報理工学研究科, 准教授 (60361838) ; KOYAMA Daisuke 電気通信大学, 情報理工学研究科, 助教 (60251708)
• Project Period (FY): 2009 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2009: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
• Keywords: 波動伝搬 / FDTD / アンテナ / マルチコア分散並列 / PML / 複素共鳴固有値 / ディリクレ・ノイマン写像 / エッジトーン / 数値計算 / FDTD法 / DtN有限要素法 / マルチコア / 高電導度モデル / 波動伝播 / エアリード / 高伝導度モデル / 多重散乱問題

Research Abstract

Transmissions of information or energy can be performed by use of the wave propagation phenomena. In this study we treated the information transmission by spoken language and electromagnetic radiation with various frequencies from antennas. We developed the methods to reduce the problem in unbounded region into the one in a bounded region using two techniques and then discretized the problems by FEM or FDM. We also developed similar methods for energy propagation phenomena such as those in elasticity or in electromagnetism and applied the method to several problems in seismology or electromagnetic wave heating phenomena in MRI.

Research Products

• [Journal Article] Development of a High Performance Eigensolver on the Peta-Scale Next Generation Supercomputer System (2011)
  • Author(s): Toshiyuki Imamura, Susumu Yamada and Masahiko Machida
  • Journal Title: Progress in Nuclear Science and Technology Pages: 643-650
  • Peer Reviewed
• [Journal Article] A parallel Schwarz method for multiple scattering problems (2011)
  • Author(s): Daisuke Koyama
  • Journal Title: DDM in Science and Engineering XIX, Lecture Notes in Computational Science and Engineering Pages: 351-358
  • URL: http://www.ddm.org/DD19/proceedings/numerik.mi.fu-berlin.de/DDM/DD19/Contributed_Koyama.pdf
  • Peer Reviewed
• [Journal Article] Numericalmethod for antenna radiation problem by FDTD method with PML (2011)
  • Author(s): Takashi Kako, Yoshiharu Ohi
  • Journal Title: DDM in Science and Engineering XIX, Lecture Notes in Computational Science and Engineering Pages: 359-365
  • URL: http://www.ddm.org/DD19/proceedings/numerik.mi.fu-berlin.de/DDM/DD19/Contributed_Kako.pdf
  • Peer Reviewed
• [Journal Article] Numerical method for antenna radiation problem by FDTD method with PML (2011)
  • Author(s): Kako, Takashi, Ohi, Yoshiharu
  • Journal Title: Lecture Notes in Computational Science and Engineering Volume: 60 Pages: 359-365
  • Peer Reviewed
• [Journal Article] Development of a High Performance Eigensolver on the Peta-Scale Next Generation Supercomputer System (2011)
  • Author(s): Imamura, Toshiyuki; Yamada; Susumu; Machida Masahiko
  • Journal Title: Progress in Nuclear Science and Technology Volume: 2 Pages: 643-650
  • Peer Reviewed
• [Journal Article] Numerical Method for Antenna Radiation Problem by FDTD Method with PML (2011)
  • Author(s): Takashi Kako , Yoshiharu Ohi
  • Journal Title: DDM in Science and Engineering XIX Lecture Notes in Computational Science and Engineering Volume: 78 Pages: 359-366
  • Peer Reviewed
• [Journal Article] Well-posedness of the Helmholtz problem with the multiple DtNboundary condition (2010)
  • Author(s): Daisuke Koyama
  • Journal Title: Adv. in Mathematical Sciences and Applications Volume: Vol.20-2 Pages: 349-370
  • Peer Reviewed
• [Journal Article] Superconvergence of a finiteelement method for the Webster equation (2010)
  • Author(s): Zhi-Guang Xiong, Takashi Kako and Daisuke Koyama
  • Journal Title: Numer. Math. J. Chinese Univ Volume: Vol.32-2 Pages: 106-117
  • Peer Reviewed
• [Journal Article] Novelapproach in a divide and conquer algorithmfor eigenvalue problems of real symmetricband matrices (2010)
  • Author(s): H. P. Pham, Toshiyuki Imamura, Susumu Yamada and Masahiko Machida
  • Journal Title: Proceedings of JointInternational Conference on Supercomputing in Nuclear Applicationsand Monte Carlo 2010
  • Peer Reviewed
• [Journal Article] Development of a high performance eigensolver on thepeta-scale next generation supercomputersystem (2010)
  • Author(s): Toshiyuki Imamura, Susumu Yamada and Masahiko Machida
  • Journal Title: Proceedings of JointInternational Conference on Supercomputing in Nuclear Applicationsand Monte Carlo 2010
  • Peer Reviewed
• [Journal Article] アンテナからの電磁波放射に対する完全適合層を伴うFDTD法を用いた数値計算とその応用 (2010)
  • Author(s): 大井祥栄、加古孝
  • Journal Title: 日本応用数理学会論文誌 Volume: Vol.20-4 Pages: 241-263
  • Peer Reviewed
• [Journal Article] エッジトーンの2次元数値計算のPCによる試み (2010)
  • Author(s): 水谷俊、加古孝
  • Journal Title: 京都大学数理解析研究所講究録 Volume: Vol.1697 Pages: 72-79
  • URL: http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/141671/1/1697-07.pdf
  • Peer Reviewed
• [Journal Article] アンテナからの電磁波放射に対する完全適合層を伴うFDTD法を用いた数値計算とその応用 (2010)
  • Author(s): 大井祥栄、加古孝
  • Journal Title: 日本応用数理学会論文蕗 Volume: 20巻4号 Pages: 241-263
  • Peer Reviewed
• [Journal Article] エッジトーンの2次元数僖計算のPCによる試み (2010)
  • Author(s): 水谷俊, 加古孝
  • Journal Title: 京都大学数理解析研究所就究録 Volume: 1697 Pages: 72-79
  • Peer Reviewed
• [Journal Article] Development of a high performance eigensolver on the peta-scale next generation supercomputer system (2010)
  • Author(s): Toshiyuki Imamura, SusumuYamada , Masahiko Machida
  • Journal Title: Proceedings of Joint International Conference on Supercomputing in Nuclear Applications and Monte Carlo 2010 (SNA+MC2010) Volume: CD-ROM
  • Peer Reviewed
• [Journal Article] Novel approach in a divide and conquer algorithm for eigenvalue problems of real symmetric band matrices (2010)
  • Author(s): H.P.Pham, Toshiyuki Imamura, Susumu Yamada , Masahiko Machida
  • Journal Title: Proceedings of Joint International Conference on Supercomputing in Nuclear Applications and Monte Carlo 2010 (SNA+MC2010) Volume: CD-ROM
  • Peer Reviewed
• [Journal Article] Superconvergence of a finite element method for the Webster equation (2010)
  • Author(s): Zhi-Guang Xiong, Takashi Kako, Daisuke Koyama
  • Journal Title: Numer.Math.J.Chinese Univ Volume: 32巻2号 Pages: 106-117
  • Peer Reviewed
• [Journal Article] Well-posedness of the Helmholtz problem with the multiple DtN boundary condition (2010)
  • Author(s): Daisuke Koyama
  • Journal Title: Adv in Mathematical Sciences and Applications Volume: 20巻2号 Pages: 349-370
  • Peer Reviewed
• [Journal Article] Numerical method for antenna radiation problem by FDTD method with PML (2010)
  • Author(s): Takashi Kako, Yoshiharu Ohi
  • Journal Title: The proceedings of the 19th International Conference on Domain Decomposition Methods (掲載予定)
  • Peer Reviewed
• [Journal Article] A parallel Schwarz method for multiple scattering problems (2010)
  • Author(s): Daisuke Koyama
  • Journal Title: The proceedings of the 19th International Conference on Domain Decomposition Methods (掲載予定)
  • Peer Reviewed
• [Journal Article] Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtNboundary condition (2009)
  • Author(s): Daisuke Koyama
  • Journal Title: Journal of Computational and Applied Mathematics Volume: Vol.232 Pages: 109-121
  • URL: http://www.sciencedirect.com/science/article/pii/S0377042708005505
  • Peer Reviewed
• [Journal Article] Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition (2009)
  • Author(s): Daisuke Koyama
  • Journal Title: Journal of Computational and Applied Mathematics 232 Pages: 109-121
  • Peer Reviewed
• [Presentation] Designing the vocal tract shape of vowels based on resonance poles (2012)
  • Author(s): Kako, Takashi
  • Organizer: Finnish-Japanese-Korean workshop on inverse problems
  • Place of Presentation: University of Helsinki, Finland(Invited talk)
  • Year and Date: 2012-12-14
• [Presentation] PMLを用いた有限要素法による地盤構造連成解析 (2012)
  • Author(s): 川村稔也,加古孝
  • Organizer: 日本応用数理学会2012研究部会連合発表会
  • Place of Presentation: 福岡市
  • Year and Date: 2012-03-09
• [Presentation] PMLを用いた有限要素法による地盤構造連成解析 (2012)
  • Author(s): 川村稔也, 加古孝
  • Organizer: 日本応用数理学会2012研究部会連合発表会
  • Place of Presentation: 九州大学伊都キャンパス
  • Year and Date: 2012-03-09
• [Presentation] 京コンピュータに向けた密行列固有値ソルバーの開発について (2012)
  • Author(s): 今村俊幸
  • Organizer: 2012年ハイパフォーマンスコンピューティングと計算科学シンポジウム
  • Place of Presentation: 名古屋大学豊田講堂シンポジオンホール(名古屋市)
  • Year and Date: 2012-01-24
• [Presentation] Eigen_sg+ ASPEN. K2の性能評価 (2012)
  • Author(s): 大瀧嵩,藤山慧太,今村俊幸,山田進,町田昌彦
  • Organizer: 2012年ハイパフォーマンスコンピューティングと計算科学シンポジウム
  • Place of Presentation: 名古屋大学豊田講堂シンポジオンホール(名古屋市)
  • Year and Date: 2012-01-24
• [Presentation] 京コンピュータに向けた密行列固有値ソルバーの開発について (2012)
  • Author(s): 今村俊幸
  • Organizer: 2012年ハイパフォーマンスコンピューティングと計算科学シンポジウム(HPCS2012)
  • Place of Presentation: 名古屋大学豊田講堂シンポシオンホール(招待講演)
• [Presentation] Eigen_sg+ASPEN. K2の性能評価 (2012)
  • Author(s): 大瀧嵩, 藤山慧太, 今村俊幸, 山田進, 町田昌彦
  • Organizer: 2012年ハイパフォフマンスコンピューティングと計算科学シンポジウム(HPCS2012)
  • Place of Presentation: 名古屋大学豊田講堂シンポジオンホール
• [Presentation] Designing the vocal tractshape of vowels based on resonance poles (2011)
  • Author(s): Kako, Takashi
  • Organizer: Finnish-Japanese-Koreanworkshop on inverse problems
  • Place of Presentation: University of Helsinki(Helsinki, Finland)
  • Year and Date: 2011-12-14
• [Presentation] マルチコア+ GPGPU環境における固有値ソルバ開発 (2011)
  • Author(s): 今村俊幸,山田進,町田昌彦
  • Organizer: HPCS2011(ポスター発表)
  • Place of Presentation: 産業技術総合研究所(つくば市)
  • Year and Date: 2011-01-18
• [Presentation] Numerical method for radiation for antennas (2010)
  • Author(s): Takashi Kako
  • Organizer: The Third China-Japan-Korea Joint Conference on Numerical Mathematics
  • Place of Presentation: Gangneung, Korea
  • Year and Date: 2010-08-19
• [Presentation] FDTD法を用いたアシテナに流れる電流の計算法と給電法 (2010)
  • Author(s): 大井祥栄、加古孝
  • Organizer: 日本応用数理学会研究部会連合発表会
  • Place of Presentation: 筑波大学筑波キャンパス(つくば市)
  • Year and Date: 2010-03-09
• [Presentation] GPUを利用した2次元FMMの高速化 (2010)
  • Author(s): 吉田晋三、今村俊幸
  • Organizer: 日本応用数理学会研究部会連合発表会
  • Place of Presentation: 筑波大学筑波キャンパス(つくば市)
  • Year and Date: 2010-03-09
• [Presentation] Narrow-band reduction approach of a DRSM eigensolver on amutlticore-based cluster system (2009)
  • Author(s): Toshiyuki Imamura, Susumu Yamada, Masahiko Machida
  • Organizer: International Conference on Parallel Computing
  • Place of Presentation: Lyon, France
  • Year and Date: 2009-09-03
• [Presentation] Narrow-band reduction approach of a DRSM eigensolver on a mutlticore-based cluster system (2009)
  • Author(s): Toshiyuki Imamura, Susumu Yamada, Masahiko Machida
  • Organizer: International Conference on Parallel Computing ParCo 2009
  • Place of Presentation: Ecole Normale Superieure de Lyon(Lyon, France)
  • Year and Date: 2009-09-03
• [Presentation] エッジトーンの2次元数値計算のPCによる試み (2009)
  • Author(s): 加古孝、水谷俊
  • Organizer: 京大数理解析研究所共同研究計画・RIMS研究集会
  • Place of Presentation: 京都大学人間環境学研究科(京都市)
  • Year and Date: 2009-07-22
• [Presentation] エッジトーンの2次元数値計算のPCによる試み (2009)
  • Author(s): 加古孝、水谷俊
  • Organizer: 京大数理解析研究所共同研究計画・RIMS研究集会「オイラー方程式の数理:渦運動と音波150年」
  • Place of Presentation: 京都大学人間環境学研究科(京都市)
  • Year and Date: 2009-07-22
• [Presentation] マルチコア環境における固有値ソルバ (2009)
  • Author(s): 今村俊幸
  • Organizer: 日本計算工学会講演会
  • Place of Presentation: 東京大学生産技術研究所(東京都)
  • Year and Date: 2009-05-12
• [Book] 計算力学理論ハンドブック (2010)
  • Author(s): 田端正久,萩原一郎
  • Total Pages: 736
  • Publisher: 朝倉書店
• [Book] 計算力学理論ハンドブック (2010)
  • Author(s): 田端正久, 萩原一郎(監訳), 第3章訳:小山大介
  • Total Pages: 736
  • Publisher: 朝倉書店