A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems
This paper discusses spectral and spectral element methods with Legendre-Gauss-Lobatto nodal basis for general 2nd-order elliptic eigenvalue problems. The special work of this paper is as follows. (1) We prove a priori and a posteriori error estimates for spectral and spectral element methods. (2) W...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/262010 |
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| _version_ | 1832549196468584448 |
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| author | Jiayu Han Yidu Yang |
| author_facet | Jiayu Han Yidu Yang |
| author_sort | Jiayu Han |
| collection | DOAJ |
| description | This paper discusses spectral and spectral element methods with Legendre-Gauss-Lobatto nodal basis for general 2nd-order elliptic eigenvalue problems. The special work of this paper is as follows. (1) We prove a priori and a posteriori error estimates for spectral and spectral element methods. (2) We compare between spectral methods, spectral element methods, finite element methods and their derived p-version, h-version, and hp-version methods from accuracy, degree of freedom, and stability and verify that spectral methods and spectral element methods are highly efficient computational methods. |
| format | Article |
| id | doaj-art-d349a88d78da456694a33f5320788673 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d349a88d78da456694a33f53207886732025-02-03T06:11:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/262010262010A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue ProblemsJiayu Han0Yidu Yang1School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, ChinaSchool of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, ChinaThis paper discusses spectral and spectral element methods with Legendre-Gauss-Lobatto nodal basis for general 2nd-order elliptic eigenvalue problems. The special work of this paper is as follows. (1) We prove a priori and a posteriori error estimates for spectral and spectral element methods. (2) We compare between spectral methods, spectral element methods, finite element methods and their derived p-version, h-version, and hp-version methods from accuracy, degree of freedom, and stability and verify that spectral methods and spectral element methods are highly efficient computational methods.http://dx.doi.org/10.1155/2013/262010 |
| spellingShingle | Jiayu Han Yidu Yang A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems Abstract and Applied Analysis |
| title | A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems |
| title_full | A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems |
| title_fullStr | A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems |
| title_full_unstemmed | A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems |
| title_short | A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems |
| title_sort | class of spectral element methods and its a priori a posteriori error estimates for 2nd order elliptic eigenvalue problems |
| url | http://dx.doi.org/10.1155/2013/262010 |
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