4 citations · 8 across the 14 of their papers we have counts for
7 papers · 1 filter
Mathematical Opportunities in Digital Twins (MATH-DT)
Harbir Antil
The report describes the discussions from the Workshop on Mathematical Opportunities in Digital Twins (MATH-DT) from December 11-13, 2023, George Mason University. It illustrates t…
High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures
Rainald Löhner, Facundo N. Airaudo, Harbir Antil +3
An adjoint-based procedure to determine weaknesses, or, more generally, the material properties of structures is developed and tested. Given a series of load cases and correspondin…
Adjoint-based Determination of Weaknesses in Structures
Facundo N. Airaudo, Rainald Löhner, Roland Wüchner +1
An adjoint-based procedure to determine weaknesses, or, more generally the material properties of structures is developed and tested. Given a series of force and deformation/strain…
Strong stationarity for optimal control problems with non-smooth integral equation constraints: Application to continuous DNNs
Harbir Antil, Livia Betz, Daniel Wachsmuth
Motivated by the residual type neural networks (ResNet), this paper studies optimal control problems constrained by a non-smooth integral equation. Such non-smooth equations, for i…
Optimal Control of a Quasi-Variational Sweeping Process
Harbir Antil, Rafael Arndt, Boris S. Mordukhovich +2
The paper addresses the study of a class of evolutionary quasi-variational inequalities of the parabolic type arising in the formation and growth models of granular and cohensionle…
Optimal Control Of Surface Shape
Harbir Antil, Shawn W. Walker
Controlling the shapes of surfaces provides a novel way to direct self-assembly of colloidal particles on those surfaces and may be useful for material design. This motivates the i…