Abstract
In this chapter the concept of computational vademecum is presented and analyzed in detail when applied for the real-time simulation in the field of computational surgery. In essence, a computational vademecum is an off-line computer simulation of a physical process in which different variables have been considered as parameters, thus giving rise to a high-dimensional problem. To avoid the numerical difficulties associated with meshing high-dimensional domains, and also their respective post-processing, proper generalized decomposition (PGD) methods have been employed. These allow to express the high-dimensional solution as a finite sum of separable functions, that can be post-processed on-line at tremendously high feedback rates, even on the order of kHz.
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Gonzalez, D., Alfaro, I., Quesada, C., Cueto, E., Chinesta, F. (2015). Vademecums for Real-Time Computational Surgery. In: Doyle, B., Miller, K., Wittek, A., Nielsen, P. (eds) Computational Biomechanics for Medicine. Springer, Cham. https://doi.org/10.1007/978-3-319-15503-6_1
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DOI: https://doi.org/10.1007/978-3-319-15503-6_1
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