Higher-order, large-domain electromagnetic simulations are presented based on the finite element method (FEM), method of moments (MoM), and physical optics (PO). The simulations combine higher order geometrical modeling and higher order field/current modeling, which is referred to as double-higher-order modeling. The examples demonstrate that accurate and efficient FEM, MoM, and PO simulations ...

This study conducts the modeling and numerical analysis of a screw dislocation in three-dimensional continuous medium. Our is based on differential geometry Weitzenböck manifold, i.e., Riemann-Cartan manifold which equips itself with non-zero torsion affine connection. Following to standard framework geometrical elasto-plasticity, we introduce three smooth manifolds representing reference R, in...

The process of developing architectural forms has greatly been changed by advances in digital technology, especially in design tools and applications. In recent years, the advent of graphical scripting languages in the design process has profoundly affected 3D modeling. Scripting languages help develop algorithms and geometrical grammar of shapes based on their constituent parameters. This stud...