2017 Fiscal Year Final Research Report
Development of a method of moment based on discontinuous Galerkin method and Hdiv inner products
| Project/Area Number |
15K13418
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Computational science
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
新納 和樹 京都大学, 情報学研究科, 助教 (10728182)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Keywords | Maxwell 方程式 / 積分方程式 / 不連続Galerkin法 / Hdiv内積 |
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| Outline of Final Research Achievements |
We have investigated methods of moments for Maxwell's equations using the discontinuous Galerkin (DG) method, with relaxed continuity requirements for interpolation functions for unknowns. Particular attentions have been paid to issues such as the accuracy, preconditioning and prevention of the low frequency breakdown with the help of discretization using Hdiv inner products. We have concluded the effectiveness of the DG method using rooftop functions. Also, we could successfully formulate a DG method using Hdiv inner product which does not require dual bases. As for preconditioning, we have concluded that standard methods such as the tri-diagonal preconditioners work, but that the Calderon preconditioners are not effective with the proposed DG method.
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| Free Research Field |
計算科学
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