Numerical implementations of the FEM-DBCI integral equation
Purpose - This paper aims to discuss various numerical implementations of the integral equation in the hybrid finite element method-Dirichlet boundary condition iteration (FEM-DBCI) method for the numerical solution of unbounded static and quasi-static electromagnetic field problems. Design/methodology/approach - Three numerical implementations are described and compared from the point of view of accuracy and complexity, by means of two examples regarding simple electrostatic problems. Findings - The implementation by means of a pair of integration surfaces made of element sides leads to accuracy levels which are much better than that of a single surface (made of element sides) and only a little worse than that of a single surface connecting point in the middle of finite element sides. Practical implications - The former implementations, however, are simpler since they are practically the same as that of a standard boundary element method integral equation. Originality/value - The paper constitutes a useful guide to the implementation of the FEM-DBCI method.
integral equations electromagnetic fields finite element analysis