Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154
For numerical calculations in continuum physics partial differential equations and the space-time are discretized. This can be done in different ways. Common approaches are finite difference methods and finite element methods, more rarely finite volume methods are used. Each method has different mat...
| Published in: | Proceedings of the Estonian Academy of Sciences |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Estonian Academy Publishers
2008-08-01
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| Online Access: | https://kirj.ee/public/proceedings_pdf/2008/issue_3/proc-2008-3-145-154.pdf |
| _version_ | 1848665109870673920 |
|---|---|
| author | Heiko Herrmann |
| author_facet | Heiko Herrmann |
| author_sort | Heiko Herrmann |
| collection | DOAJ |
| container_title | Proceedings of the Estonian Academy of Sciences |
| description | For numerical calculations in continuum physics partial differential equations and the space-time are discretized. This can be done in different ways. Common approaches are finite difference methods and finite element methods, more rarely finite volume methods are used. Each method has different mathematical properties, which have been discussed in the literature, but they also imply a different physical meaning. This issue is discussed in this article and the connection of finite volume methods to thermodynamics of discrete systems is shown. |
| format | Article |
| id | doaj-art-162bc8a5a277440887fdf79e314f1d18 |
| institution | Directory of Open Access Journals |
| issn | 1736-6046 1736-7530 |
| language | English |
| publishDate | 2008-08-01 |
| publisher | Estonian Academy Publishers |
| record_format | Article |
| spelling | doaj-art-162bc8a5a277440887fdf79e314f1d182025-10-30T09:07:19ZengEstonian Academy PublishersProceedings of the Estonian Academy of Sciences1736-60461736-75302008-08-0157314515410.3176/proc.2008.3.0510.3176/proc.2008.3.05Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154Heiko Herrmann0Centre for Nonlinear Studies, Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, 12618 Tallinn, Estonia; hh@cens.ioc.eeFor numerical calculations in continuum physics partial differential equations and the space-time are discretized. This can be done in different ways. Common approaches are finite difference methods and finite element methods, more rarely finite volume methods are used. Each method has different mathematical properties, which have been discussed in the literature, but they also imply a different physical meaning. This issue is discussed in this article and the connection of finite volume methods to thermodynamics of discrete systems is shown.https://kirj.ee/public/proceedings_pdf/2008/issue_3/proc-2008-3-145-154.pdf |
| spellingShingle | Heiko Herrmann Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154 |
| title | Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154 |
| title_full | Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154 |
| title_fullStr | Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154 |
| title_full_unstemmed | Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154 |
| title_short | Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154 |
| title_sort | discretization of continuum physics a comparison of numerical methods from a physical point of view pp 145 154 |
| url | https://kirj.ee/public/proceedings_pdf/2008/issue_3/proc-2008-3-145-154.pdf |
| work_keys_str_mv | AT heikoherrmann discretizationofcontinuumphysicsacomparisonofnumericalmethodsfromaphysicalpointofviewpp145154 |