Mesh morphing strategies for robust geometric parameter model reduction

A finite element method (FEM) model reduction methodology is combined with a reliable mesh warping algorithm for fast geometric parameter sweeps. The approach avoids remeshing and matrix assembling by carefully repositioning mesh nodes via solving Laplace´s equation with a nodal FEM in each mesh region. Even on large deformations, this approach maintains high quality meshes that produce robust reduced models. Numerical results on a patch antenna and infinite Vivaldi array demonstrate the accuracy of the proposed method