Dynamics with matrices possessing kronecker product structure
In this paper we present an application of Alternating Direction Implicit (ADI) algorithm for solution of non-stationary PDE-s using isogeometric finite element method. We show that ADI algorithm has a linear computational cost at every time step. We illustrate this approach by solving two example n...
| Main Authors: | , , , , |
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| Format: | Conference Paper |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/51378 |
| _version_ | 1848758683141406720 |
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| author | Los, M. Wozniak, M. Paszynski, M. Dalcin, L. Calo, Victor |
| author_facet | Los, M. Wozniak, M. Paszynski, M. Dalcin, L. Calo, Victor |
| author_sort | Los, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we present an application of Alternating Direction Implicit (ADI) algorithm for solution of non-stationary PDE-s using isogeometric finite element method. We show that ADI algorithm has a linear computational cost at every time step. We illustrate this approach by solving two example non-stationary three-dimensional problems using explicit Euler and Newmark time-stepping scheme: heat equation and linear elasticity equations for a cube. The stability of the simulation is controlled by monitoring the energy of the solution. |
| first_indexed | 2025-11-14T09:47:53Z |
| format | Conference Paper |
| id | curtin-20.500.11937-51378 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:47:53Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-513782017-09-13T21:24:48Z Dynamics with matrices possessing kronecker product structure Los, M. Wozniak, M. Paszynski, M. Dalcin, L. Calo, Victor In this paper we present an application of Alternating Direction Implicit (ADI) algorithm for solution of non-stationary PDE-s using isogeometric finite element method. We show that ADI algorithm has a linear computational cost at every time step. We illustrate this approach by solving two example non-stationary three-dimensional problems using explicit Euler and Newmark time-stepping scheme: heat equation and linear elasticity equations for a cube. The stability of the simulation is controlled by monitoring the energy of the solution. 2015 Conference Paper http://hdl.handle.net/20.500.11937/51378 10.1016/j.procs.2015.05.243 http://creativecommons.org/licenses/by-nc-nd/4.0/ fulltext |
| spellingShingle | Los, M. Wozniak, M. Paszynski, M. Dalcin, L. Calo, Victor Dynamics with matrices possessing kronecker product structure |
| title | Dynamics with matrices possessing kronecker product structure |
| title_full | Dynamics with matrices possessing kronecker product structure |
| title_fullStr | Dynamics with matrices possessing kronecker product structure |
| title_full_unstemmed | Dynamics with matrices possessing kronecker product structure |
| title_short | Dynamics with matrices possessing kronecker product structure |
| title_sort | dynamics with matrices possessing kronecker product structure |
| url | http://hdl.handle.net/20.500.11937/51378 |