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Algebraic Formulation of Elastodynamics: the Cell Method
Computer Modeling in Engineering & Sciences 2010, 64(1), 37-70. https://doi.org/10.3970/cmes.2010.064.037
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This paper completes a preceeding paper on the algebraic formulation of elastostatics [Tonti, Zarantonello (2009)]. It shows how to obtain a numerical formulation for elastodynamics by avoiding any process of discretization of differential equations, i.e. PDE-free formulation. To this end, we must analyse in more detail the discretization of time by highlighting the need to introduce a dual subdivision of the time axis, as we did for a space cell complex. The mass matrix obtained with the direct algebraic formulation is diagonal.Keywords
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APA Style
Tonti, E., Zarantonello, F. (2010). Algebraic formulation of elastodynamics: the cell method. Computer Modeling in Engineering & Sciences, 64(1), 37-70. https://doi.org/10.3970/cmes.2010.064.037
Vancouver Style
Tonti E, Zarantonello F. Algebraic formulation of elastodynamics: the cell method. Comput Model Eng Sci. 2010;64(1):37-70 https://doi.org/10.3970/cmes.2010.064.037
IEEE Style
E. Tonti and F. Zarantonello, "Algebraic Formulation of Elastodynamics: the Cell Method," Comput. Model. Eng. Sci., vol. 64, no. 1, pp. 37-70. 2010. https://doi.org/10.3970/cmes.2010.064.037
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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