Abstract
In this paper, the accuracy of the derivative approximation of the particle methods is discussed. Especially, we show that the issue of decreasing accuracy on a boundary area in the SPH method is due to the lack of the boundary integration. Through some numerical examples, the convergence of error norm of energy obtained by the SPH and the MPS methods is studied.
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Matsubara, H., Iraha, S., Yagawa, G., Song, D. (2011). Some Consideration on Derivative Approximation of Particle Methods. In: Oñate, E., Owen, R. (eds) Particle-Based Methods. Computational Methods in Applied Sciences, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0735-1_9
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DOI: https://doi.org/10.1007/978-94-007-0735-1_9
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