Abstract
Domain decomposition methods can perform poorly on advection-diffusion equations if diffusion is dominated by advection. Indeed, the hyperpolic part of the equations could affect the behavior of iterative schemes among subdomains slowing down dramatically their rate of convergence. Taking into account the direction of the characteristic lines we introduce suitable adaptive algorithms which are stable with respect to the magnitude of the convective field in the equations and very effective on linear boundary value problems.
Work supported by a CNR fellowship.
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© 1995 Springer-Verlag New York
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Carlenzoli, C., Quarteroni, A. (1995). Adaptive Domain Decomposition Methods for Advection-Diffusion Problems. In: Babuska, I., Henshaw, W.D., Oliger, J.E., Flaherty, J.E., Hopcroft, J.E., Tezduyar, T. (eds) Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations. The IMA Volumes in Mathematics and its Applications, vol 75. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4248-2_9
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DOI: https://doi.org/10.1007/978-1-4612-4248-2_9
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