Abstract
Over the last decade, substantial research efforts have gone into developing preconditioners for time harmonic wave propagation problems, like the Helmholtz and the time harmonic Maxwell’s equations. Such equations are much harder to solve than diffusive problems like Laplace’s equation, because of two main reasons: first, the pollution effect [1] requires much finer meshes than would be necessary just to resolve the signal computed, and second, classical iterative methods all exhibit severe convergence problems when trying to solve the very large discrete linear systems obtained [9].
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Gander, M.J., Zhang, H. (2020). Analysis of Double Sweep Optimized Schwarz Methods: the Positive Definite Case. In: Haynes, R., et al. Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, vol 138. Springer, Cham. https://doi.org/10.1007/978-3-030-56750-7_5
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DOI: https://doi.org/10.1007/978-3-030-56750-7_5
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