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-
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
- Tufts University. Department of Mathematics.
- Permanent URL
- Original publication
- 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.