5 papers
A Finite Element Approximation of an Optimal Insulation Problem with Convective Heat Transfer
Harbir Antil, Alex Kaltenbach, Keegan L. A. Kirk
A finite element discretization of an optimal insulation problem with convective heat transfer is considered. The model is formulated as a non-smooth, two-variable convex minimizat…
A Priori and A Posteriori Error Identities for Vectorial Problems via Convex Duality
P. A. Gazca-Orozco, A. Kaltenbach
Convex duality has been leveraged in recent years to derive a posteriori error estimates and identities for a wide range of non-linear and non-smooth scalar problems. By employing…
Convection Effects and Optimal Insulation: Modelling and Analysis
Harbir Antil, Alex Kaltenbach, Keegan L. A. Kirk
In this paper, we study an insulation problem that seeks to determine the optimal distribution of a given amount of insulating material coating an insulated boundary part $Î…
Modeling and Analysis of an Optimal Insulation Problem on Non-Smooth Domains
Harbir Antil, Alex Kaltenbach, Keegan L. A. Kirk
In this paper, we study an insulation problem that seeks the optimal distribution of a fixed amount of insulating material coating an insulated boundary $Î_I\subseteq \parti…
Duality-Based Algorithm and Numerical Analysis for Optimal Insulation Problems on Non-Smooth Domains
Harbir Antil, Alex Kaltenbach, Keegan L. A. Kirk
This article develops a numerical approximation of a convex non-local and non-smooth minimization problem. The physical problem involves determining the optimal distribution, given…