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Design changes were performed by means of finite element analyses.
Magnetic circuit was analyzed by means of finite element method.
These inferences are confirmed by means of finite element analysis.
The microvalve performance has been optimized by means of finite element analysis (FEA).
These effects have been studied by means of finite element method.
All the solid components are discretized in space domain by the means of finite element method.
The analytical stiffness is also verified by means of finite element (FE) simulations.
The solution of governing differential equations is accomplished by means of finite Mellin transforms.
This work quantified these effects by means of finite element analysis.
Hot-spot stresses at failure-critical locations were calculated by means of finite element analysis.
The experimentally determined material parameters were used for additional numerical deformation analyses by means of finite elements (FE).
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