3-D nested eigenanalysis on finite element grids
| Autor: | Giuseppe Gambolati, Giorgio Pini |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Diffusion equation
symmetric eigenproblem Rayleigh quotient accelerated conjugate gradients finite element matrices nested iterations Applied Mathematics Computation General Engineering Geometry Finite element method Computational Theory and Mathematics Flow (mathematics) Modeling and Simulation Conjugate gradient method Tetrahedron Applied mathematics Software Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Communications in Numerical Methods in Engineering. 22:711-726 |
| ISSN: | 1069-8299 |
| DOI: | 10.1002/cnm.844 |
| Popis: | The computation of several of the leftmost eigenpairs of generalized symmetric eigenproblems in 3-D finite element (FE) discretizations is addressed using the nested iteration deflation accelerated conjugate gradient (NI-DACG) method previously studied and improved by the authors in a 2-D framework. Numerical results from the flow (diffusion type) equation integrated over tetrahedral FE shows speed-ups relative to DACG ranging between 2 up to more than 10 depending on the aspect ratio of the elements used. NI-DACG also compares favourably with the performance of IRAM, i.e. the implicit restarted Arnoldi method, implemented in the eigenvalue package ARPACK. Copyright © 2005 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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