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A New Mesh Smoothing Method to Improve the Condition Number of Submatrices of Coefficient Matrix in Edge Finite Element Method
| Title: | A New Mesh Smoothing Method to Improve the Condition Number of Submatrices of Coefficient Matrix in Edge Finite Element Method |
| Authors: | Noguchi, So Browse this author →KAKEN DB | | Takada, Atsushi Browse this author | | Nobuyama, Fumiaki Browse this author | | Miwa, Masahiko Browse this author | | Igarashi, Hajime Browse this author →KAKEN DB |
| Keywords: | Coefficient matrix | | finite element method | | mesh generation | | mesh smoothing |
| Issue Date: | May-2013 |
| Publisher: | IEEE : Inst Electrical Electronics Engineers Inc |
| Journal Title: | IEEE Transactions On Magnetics |
| Volume: | 49 |
| Issue: | 5 |
| Start Page: | 1705 |
| End Page: | 1708 |
| Publisher DOI: | 10.1109/TMAG.2013.2239978 |
| Abstract: | A common mesh smoothing method strives to improve the shape quality of all elements. Generally a mesh consisting of only well-shaped elements is desired in finite element analysis. Although a perfect-shaped element yields short computation time, even a well-shaped element, whose shape is close to a regular polygon, sometimes prolongs the computation time of solving the system of equations derived with the edge-based finite element method. In this paper, we propose a new smoothing scheme of improving a convergence property of the system of equations by applying a common mesh smoothing method to some elements, which cause long computation time of the iterative solver. The proposed smoothing scheme utilizes the condition number of submatrices, into which coefficient matrix derived with the edge-based finite element method is subdivided, in order to choose ill-conditioned elements to be smoothed. As a result, the computation time is shortened applying a smoothing process only to the chosen ill-conditioned elements. |
| Rights: | © 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/53268 |
| Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 野口 聡
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