Higher-Order Mesh Generation Using Linear Meshes [EM Programmer's Notebook]

A simple method for generating highorder, 3D surface meshes is presented. The higher-order meshes are suitable for investigating higherorder convergence in electromagnetic analysis codes. The mesh-generation algorithm uses two linear meshes: a coarse mesh and a refinement of the coarse mesh. The method is applied to both quadrilateral and triangle surface meshes. Mesh generation is validated by computing the discretization error for various meshes. Finally, integral equation error convergence of plane wave scattering from a conducting sphere is investigated in terms of mesh order and basis order. A reference implementation of the algorithms is made available.