Abstract
Numerical solution of partial differential equations can be made more tractable by model reduction techniques. For instance, when the problem at hand presents a main direction of the dynamics (such as blood flow in arteries), it may be conveniently reduced to a 1D model. Here we compare two strategies to obtain this model reduction, applied to classical advection-diffusion equations in domains where one dimension dominates the others.
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Aletti, M., Bortolossi, A., Perotto, S., Veneziani, A. (2015). One-Dimensional Surrogate Models for Advection-Diffusion Problems. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_44
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DOI: https://doi.org/10.1007/978-3-319-10705-9_44
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