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In this paper, stability analysis of time-domain finite element method (TDFEM) for 3D electromagnetic (EM) radiation problems is discussed. Firstly, non-linear temporal basis functions are utilized for fully discrete systems in terms of good interpolation feature. Furthermore, the Routh-Hurwitz Stability Criterion is applied to determine whether a TDFEM formulation is stable. Finally, numerical results...
When rule base is sparse and an observation is in the gap between two neighboring antecedences, we cannot get a satisfactory reasoning result by traditional fuzzy reasoning method. Fuzzy reasoning is really an interpolation. For only using two neighboring rules, classical KH linear interpolative reasoning method is partial and its consequence does not always preserve convexity and normality. This...
This paper studied several novel time-domain finite element methods(TDFEMs), unlike the reported method, cubic B-spline functions and second-order Lagrange interpolation functions are introduced as temporal basis functions. The motivation behind the research of the methods was utilize their good interpolation features and straightward computation. Based on Galerkin's method our algorithms are applied...
A novel time-domain finite element method (TDFEM) based on smoothed cosine temporal basis function is presented in this paper. This method is motivated by goals of achieving higher computational efficiency. Unlike the reported TDFEM scheme[Z. Lou and J. Jin, 2005], which is based on Galerkin's method with a piecewise linear temporal expansion of electric field, the electric field in our approach is...
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