Improved Algorithm for FEM Analysis of MTL Problems


This paper deals with improvement of time integration scheme for transient finite element method (FEM) analysis. FEM is applied to the system of hyperbolic differential equations i.e. system of multi-conductor transmission line (MTL) equations. Spatial integration of system of hyperbolic differential equations is usually done by the weighted residual method. Improvement of accuracy was obtained by using Heun’s method. Numerical solutions obtained using Heun’s method and using the generalized trapezoidal rule for different values of a time integration parameter ϑ are compared to analytical solution. It has been shown that Heun’s method yields the results with much higher accuracy comparing to results obtained by generalized trapezoidal rule (ϑ-method) with the approximately equal computational time.

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