A direct discrete formulation for the wave equation

E Tonti - Journal of Computational Acoustics, 2001 - World Scientific
Journal of Computational Acoustics, 2001World Scientific
The paper shows how to give a direct discrete formulation of the wave equation starting
directly from physical laws, ie without passing through differential formulation. Using global
variables instead of scalar and vector field functions, a close link between global variables
and spatial and temporal elements immediately appears. A preliminary classification of
physical variables into three classes: configuration, source and energy variables and the
use of two cell complexes, one dual of the other, gives an unambiguous association of …
The paper shows how to give a direct discrete formulation of the wave equation starting directly from physical laws, i.e. without passing through differential formulation. Using global variables instead of scalar and vector field functions, a close link between global variables and spatial and temporal elements immediately appears. A preliminary classification of physical variables into three classes: configuration, source and energy variables and the use of two cell complexes, one dual of the other, gives an unambiguous association of global variables to the spatial and temporal elements of the two complexes. Thus, one arrives at a discrete formulation of d'Alembert equation on an unstructured mesh.
World Scientific
以上显示的是最相近的搜索结果。 查看全部搜索结果