Numerical Solution of Electromagnetic Integral Equations by the Meshfree Collocation Method
Keywords:
collocation, EFIE, integral equation, meshfree, MPIEAbstract
This paper presents guidelines for mesh free numerical solution of electromagnetic integral equations. Both static and dynamic problems are considered, including the EFIE and the MPIE for dynamic case. Different choices of the kind of meshfree method, shape functions and their parameters are studied and proper choices are suggested by logical deduction, experience or previous reports. The final configuration is applied to classical problems in one and two dimensions such as electric charge (density) and electric current (density) distributions over a line and flat plates, respectively. The method is validated by convergence analysis and is compared with MoM. In addition, suggestions are made for bypassing numerical integrations that make the construction of the coefficient matrix integration free.
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