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- Andrew Yeckel, Lisa Lun, Jeffrey J. Derby
- J. Comput. Physics
- 2009

A new, approximate block Newton (ABN) method is derived and tested for the coupled solution of nonlinear models, each of which is treated as a modular, black box. Such an approach is motivated by a desire to maintain software flexibility without sacrificing solution efficiency or robustness. Though block Newton methods of similar type have been proposed and… (More)

A Schur complement formulation that utilizes a linear iterative solver is derived to solve a free-boundary, Stefan problem describing steady-state solidification via the Isotherm–Newton approach, which employs Newton’s method to simultaneously and efficiently solve for both interface and field equations. This formulation is tested alongside more traditional… (More)

- Lisa Lun, Andrew Yeckel, Jeffrey J. Derby
- J. Comput. Physics
- 2010

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