Abstract: A general field simulator for generating scattered fields arising from an incident field interacting with a physical body. A general field simulator generates a patch data structure from a logical representation of a physical object, generates an approximation mesh, deforms the approximation mesh to generate approximators associated with a target point, and generates a surface field component based on approximators and a guess density. A general field simulator may generate an edge deformed mesh based on an edge deformation change of variables when a patch includes an edge.