3 papers
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…
math.NA2025
Analysis of the SQP Method for Hyperbolic PDE-Constrained Optimization in Acoustic Full Waveform Inversion
Luis Ammann, Irwin Yousept
In this paper, the SQP method applied to a hyperbolic PDE-constrained optimization problem is considered. The model arises from the acoustic full waveform inversion in the time dom…
math.NA2025
Numerical Analysis for a Hyperbolic PDE-Constrained Optimization Problem in Acoustic Full Waveform Inversion
Luis Ammann, Irwin Yousept
This paper explores a fully discrete approximation for a nonlinear hyperbolic PDE-constrained optimization problem (P) with applications in acoustic full waveform inversion. The op…