activity
20162026
most citedOversmoothing Tikhonov regularization in Banach spaces

7 citations · 8 across the 6 of their papers we have counts for

collaborators

9 papers

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…

math.NA2024

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…

math.NA2024

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.OC2020

High-order homogenization in optimal control by the Bloch wave method

Agnes Lamacz-Keymling, Irwin Yousept

This article examines a linear-quadratic elliptic optimal control problem in which the cost functional and the state equation involve a highly oscillatory periodic coefficient $A^\…

math.FA2020★ 7 cited

Oversmoothing Tikhonov regularization in Banach spaces

De-Han Chen, Bernd Hofmann, Irwin Yousept

This paper develops a Tikhonov regularization theory for nonlinear ill-posed operator equations in Banach spaces. As the main challenge, we consider the so-called oversmoothing sta…