A novel mesh regeneration using structural deformation analysis for 3-D shape optimization of electromagnetic devices

A new finite-element mesh regeneration method is presented for three-dimensional shape optimization of electromagnetic devices. The method has its theoretical basis in the structural deformation of an elastic body under stress. When the design surface changes in the optimization process, the method maps the surface displacement onto the nodal points of the finite-element mesh without a change in mesh topology. Numerical examples with design sensitivity analysis show the method guarantees a smooth shape with proper mesh quality and keeps the initial mesh topology.