Patent Document ID: 20170018118
Application ID: 15210972
Patent Flag: 0

Claim One:
1. A method for simulating fields on surface of an object, comprising: receiving a polygon control mesh that represents surface of the object, where the polygon mesh defines a collection of points on the surface of the object and connectivity between the points; determining a geometric basis function that represents the surface of an object using the polygon control mesh; determining a scalar basis function that represents any scalar physical quantity on the surface of the object; determining a vector basis function that represents tangential fields on the surface of the object constructing a discrete linear system for the object for finding the tangential fields on the surface due to an interrogating external field, where the linear system is derived from a surface integral equation and using the geometric basis function and the vector basis function; solving the discrete linear system for the tangential fields on the object; and determining fields at any given point in space using the tangential fields from the solved linear system.