Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations
The uniform bounds on eigenvalues of B^h2−1A^N2 are shown both analytically and numerically by the P1 finite element preconditioner B^h2−1 for the Legendre spectral element system A^N2u¯=f¯ which is arisen from a coupled elliptic system occurred by an optimal control problem. The finite element prec...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/245051 |
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| author | JongKyum Kwon Soorok Ryu Philsu Kim Sang Dong Kim |
| author_facet | JongKyum Kwon Soorok Ryu Philsu Kim Sang Dong Kim |
| author_sort | JongKyum Kwon |
| collection | DOAJ |
| description | The uniform bounds on eigenvalues of B^h2−1A^N2 are shown both analytically and numerically by
the P1 finite element preconditioner B^h2−1 for the Legendre spectral element system A^N2u¯=f¯ which is arisen from a coupled elliptic system occurred by an optimal control problem. The finite element preconditioner is corresponding to a leading part of the coupled elliptic system. |
| format | Article |
| id | doaj-art-695d7bd6967340b095ec9f2835d1eed8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-695d7bd6967340b095ec9f2835d1eed82025-02-03T01:27:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/245051245051Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic EquationsJongKyum Kwon0Soorok Ryu1Philsu Kim2Sang Dong Kim3Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of KoreaDepartment of Mathematics, Kyungpook National University, Daegu 702-701, Republic of KoreaDepartment of Mathematics, Kyungpook National University, Daegu 702-701, Republic of KoreaDepartment of Mathematics, Kyungpook National University, Daegu 702-701, Republic of KoreaThe uniform bounds on eigenvalues of B^h2−1A^N2 are shown both analytically and numerically by the P1 finite element preconditioner B^h2−1 for the Legendre spectral element system A^N2u¯=f¯ which is arisen from a coupled elliptic system occurred by an optimal control problem. The finite element preconditioner is corresponding to a leading part of the coupled elliptic system.http://dx.doi.org/10.1155/2012/245051 |
| spellingShingle | JongKyum Kwon Soorok Ryu Philsu Kim Sang Dong Kim Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations Journal of Applied Mathematics |
| title | Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations |
| title_full | Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations |
| title_fullStr | Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations |
| title_full_unstemmed | Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations |
| title_short | Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations |
| title_sort | finite element preconditioning on spectral element discretizations for coupled elliptic equations |
| url | http://dx.doi.org/10.1155/2012/245051 |
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