Topologyfiniteelement method for solving electromagnetic field problems
Abstract
In connection with the application of the finiteelement method to the solution of electromagnetic field problems, the field is discretized by means of networks. This approach makes it possible to represent the field system by ordered sets of subspaces in a definite form. A directed graph G which consists of finite nodes and edges can be used in connection with the drawing of the ordered sets. If the directed graph and the discrete field are topology isomorphisms, then the incidence between nodes and edges in the field can be represented by the incidence matrix of the directed graph. The considered topologyfiniteelement method has a higher degree of simplicity and standardization than the finiteelement method. The described method may be applied in numerical analysis for field problems involving antennas, motors, microwave devices, and electrooptical devices.
 Publication:

Electronics Letters
 Pub Date:
 July 1983
 Bibcode:
 1983ElL....19..572G
 Keywords:

 Electromagnetic Fields;
 Finite Element Method;
 Mathematical Models;
 Topology;
 ElectroOptics;
 Linearization;
 Microwave Equipment;
 Numerical Analysis;
 Physics (General)