Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics.

Adler, James H.

Manteuffel, Thomas Albert, 1948-

McCormick, S. F. (Stephen Fahrney), 1944-

Ruge, John.


  • This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton's method is used to form approximate solutions from a sequence of nested spaces, where the resolution of the approximations increases as the algorithm progresses. Nested iteration results in most of the iterations being performed on coarser grids, ... read more
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  • J. H. Adler, T. Manteuffel, S. McCormick, J. Ruge, and G. Sanders. Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. SIAM J. Sci. Comput. (SISC), 32(3):1506-1526, 2010. DOI:10.1137/090766905.
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