# C1-continuous space-time discretization based on Hamilton's law of varying action

@article{Mergel2015C1continuousSD, title={C1-continuous space-time discretization based on Hamilton's law of varying action}, author={Janine C. Mergel and R. Sauer and S. Ober-Bl{\"o}baum}, journal={ArXiv}, year={2015}, volume={abs/1510.07863} }

We develop a class of C1-continuous time integration methods that are applicable to conservative problems in elastodynamics. These methods are based on Hamilton's law of varying action. From the action of the continuous system we derive a spatially and temporally weak form of the governing equilibrium equations. This expression is first discretized in space, considering standard finite elements. The resulting system is then discretized in time, approximating the displacement by piecewise cubic… CONTINUE READING

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