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math.NA2026
Finite Element Analysis of Maxwell's Equations with Time-Varying Coefficients and Nonlinear E-H Coupling: Convergence and Exponential Decay
Jan Renner, Irwin Yousept
This paper analyzes finite element approximations for Maxwell's equations with time-dependent coefficients and nonlinear E-H coupling in both the total current density and the Silv…
math.NA2026
Finite element error analysis for elliptic parameter identification with power-type nonlinearity
De-Han Chen, Yi-Hsuan Lin, Irwin Yousept
This paper studies the numerical analysis of a parameter identification problem governed by elliptic equations with power-type nonlinearity. We propose a numerical reconstruction v…