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Computationally, the local rectangular refinement solution-adaptive gridding method is applied to a vorticity-velocity formulation of the conservation equations; a damped modified Newton's method is used to solve the system of coupled nonlinear elliptic partial differential equations for each flame.
We describe a procedure for the adaptive h-refinement solution of the incompressible MHD equations in stream function form using a stabilized finite element formulation.
When pressure trends did not significantly change with grid refinements, the solution was considered independent from the grid.
Despite the fact that many stochastic methods can locate the vicinity of global solutions very rapidly, the computational cost associated to the refinement of the solution is usually large.
Despite the fact that many stochastic methods can locate the vicinity of global solutions very rapidly, the computational cost associated to the refinement of the solution is usually very large.
We present clock refinement as a solution to overcome this problem.
Solution, refinement and analysis of the structures were done using the programs integrated in the WinGX system [45].
The optimisation procedure uses genetic algorithms (GAs) and a gradient-based optimiser for the refinement of the solution.
The high hardness is mainly attribute to grain refinement and solid solution hardening.
The resulting predictive posterior distributions quantify uncertainty and naturally lead to adaptive solution refinement via active learning.
A cosmetic lotion case study illustrates the proposed methodology and concepts, with the prediction of aqueous phase viscosity being identified as the key aspect for further solution refinement.
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