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In [[Mathematical optimization]], cost functions and non-linear components within can be linearized in order to apply a linear solving method such as the [[Simplex algorithm]]. The optimized result is reached much more efficiently and is deterministic as a [[global optimum]].
===Multiphysics
In [[Multiphysics]] systems, that is a system involving more than a single physical field that interact with one another, linearisation with respect to each of the physical fields may be performed. This linearisation of the system with respect to each of the fields results in a linearised monolithic equation system that can be solved using monolithic iterative solution procedures such as the [[Newton-Raphson]] method. Examples of this include [[MRI scanner]] systems which results in a system of Electromagnetic, mechanical and acoustic fields, see <ref>S. Bagwell, P.D. Ledger, A.J. Gil, M. Mallett, M. Kruip, A linearised hp–finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners, DOI: 10.1002/nme.5559</ref>
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