Abstract
It is fair to say that the development of iterative solution techniques for all kinds of discretized partial differential equations remains a vigorous branch of numerical analysis. Perhaps the greater part of the effort has gone into multigrid algorithms, the next most common topic being preconditioning methods. Traditionally applied to elliptic problems, multigrid methods have also recently been successfully applied to solving the hyperbolic equations of gas dynamics (see [23] for a survey).
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Nicolaides, R.A., Choudhury, S. (1988). Iterative Methods for Elliptic Finite Element Equations on General Meshes. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) Finite Elements. ICASE/NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3786-0_5
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DOI: https://doi.org/10.1007/978-1-4612-3786-0_5
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