Local mesh morphing technique for parametrized macromodels in the finite element method

This paper presents a novel approach for enhancing the efficiency of the design process of microwave devices by means of the finite element method. It combines mesh morphing with local model order reduction (MOR) and yields parametrized macromodels that can be used to significantly reduce the number of variables in the FEM system of equations and acceleration of computer simulation. A projection basis for local reduction is generated only once, for the original geometry and the associated mesh. The projection basis generated for the nominal design is subsequently used for updated geometries and morphed meshes thereby allowing for reducing the numerical cost and the computational time of parametric studies or the optimization process. The performance of the proposed approach is demonstrated on a two dimensional example.