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First order methods are contrasted to second order methods.
For the present study, second order methods were found to perform as well as fourth order methods.
Many authors have developed high order methods for generating a sequence approximating x ⋆.
Therefore, using this method, the parameters were adjusted in this order (Methods: Optimization of parameters).
These methods include better conditioned commuting matrices and higher order methods.
The fifth and higher-order methods give results approximately equivalent to the lower order methods at double the grid resolution, making them computationally more efficient.
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Unlike first-order methods, higher-order methods may be very sensitive to problem formulation.
Accordingly, USS presents opportunities to form various sixth-order methods.
Whereas traditional low-order methods use planar-faced elements, high-order methods introduce curvature into elements that may, if added naively, cause the element to self-intersect.
Two optimization methods are available in ANSYS, which are the zero-order and one-order methods.
There are a small number of third-order methods in the literature.
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