Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
نویسندگان
چکیده
منابع مشابه
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
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 gri...
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Magnetohydrodynamics (MHD) is a model of plasma physics that treats the plasma as a charged fluid. As a result, the set of partial differential equations that describe this model are a time-dependent, nonlinear system of equations. Thus, the equations can be difficult to solve and efficient numerical algorithms are needed. This work shows the use of such an efficient algorithm on the incompress...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2010
ISSN: 1064-8275,1095-7197
DOI: 10.1137/090766905