@Article{cmes.2010.064.037,
AUTHOR = {E. Tonti, F. Zarantonello},
TITLE = {Algebraic Formulation of Elastodynamics: the Cell Method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {64},
YEAR = {2010},
NUMBER = {1},
PAGES = {37--70},
URL = {http://www.techscience.com/CMES/v64n1/33324},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.3970/cmes.2010.064.037}
}