FINITE ELEMENT METHOD FOR SOLVING EIGENVALUE PROBLEM
In this Thesis, Eigenvalue problems derived from Diffusion Equation with separation variable method is studied. The Finite Element Method is then applied to construct Stiffness and Mass Matrices so that the Generalized Matrix Eigenvalue is obtained using Cholesky Factorization, The generalized eige...
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id-itb.:302192018-02-19T14:15:29ZFINITE ELEMENT METHOD FOR SOLVING EIGENVALUE PROBLEM WIRAWAN (NIM : 20914012), RANGGA Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/30219 In this Thesis, Eigenvalue problems derived from Diffusion Equation with separation variable method is studied. The Finite Element Method is then applied to construct Stiffness and Mass Matrices so that the Generalized Matrix Eigenvalue is obtained using Cholesky Factorization, The generalized eigenvalue problem is reduced into an Ordinary Eigenvalue problem. The Smallest Eigenvalue of the resulted matrix is found by The Invers Power Method. text |
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Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
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Asia |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Indonesia |
| description |
In this Thesis, Eigenvalue problems derived from Diffusion Equation with separation variable method is studied. The Finite Element Method is then applied to construct Stiffness and Mass Matrices so that the Generalized Matrix Eigenvalue is obtained using Cholesky Factorization, The generalized eigenvalue problem is reduced into an Ordinary Eigenvalue problem. The Smallest Eigenvalue of the resulted matrix is found by The Invers Power Method. |
| format |
Theses |
| author |
WIRAWAN (NIM : 20914012), RANGGA |
| spellingShingle |
WIRAWAN (NIM : 20914012), RANGGA FINITE ELEMENT METHOD FOR SOLVING EIGENVALUE PROBLEM |
| author_facet |
WIRAWAN (NIM : 20914012), RANGGA |
| author_sort |
WIRAWAN (NIM : 20914012), RANGGA |
| title |
FINITE ELEMENT METHOD FOR SOLVING EIGENVALUE PROBLEM |
| title_short |
FINITE ELEMENT METHOD FOR SOLVING EIGENVALUE PROBLEM |
| title_full |
FINITE ELEMENT METHOD FOR SOLVING EIGENVALUE PROBLEM |
| title_fullStr |
FINITE ELEMENT METHOD FOR SOLVING EIGENVALUE PROBLEM |
| title_full_unstemmed |
FINITE ELEMENT METHOD FOR SOLVING EIGENVALUE PROBLEM |
| title_sort |
finite element method for solving eigenvalue problem |
| url |
https://digilib.itb.ac.id/gdl/view/30219 |
| _version_ |
1821995677300817920 |