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akadeemia kirjastus
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Discretization of continuum physics – a comparison of numerical methods from a physical point of view; pp. 145–154

Full article in PDF format | doi: 10.3176/proc.2008.3.05

Heiko Herrmann

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.

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