From the 2 of 34 linked papers with an AI index.
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Duality Framework for Flux Constrained Flow in Porous Media: Analysis and Numerics
Harbir Antil, Keegan L. A. Kirk, Felipe Pérez
The paper develops a duality-based formulation for Darcy flow in saturated porous media with bilateral flux constraints on part of the boundary, analyzes its mathematical propertie…
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…
Well-Posedness and Approximation of Weak Solutions to Time Dependent Maxwell's Equations with -Data
Harbir Antil
We study Maxwell's equations in conducting media with perfectly conducting boundary conditions on Lipschitz domains, allowing rough material coefficients and -data. Our first…
A posteriori and a priori error estimates for linearized thin sheet folding
Harbir Antil, Sean P. Carney, Rohit Khandelwal
We describe a posteriori error analysis for a discontinuous Galerkin method for a fourth order elliptic interface problem that arises from a linearized model of thin sheet folding.…
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…
Variational problems with gradient constraints: and error identities
Harbir Antil, Sören Bartels, Sören Bartels +2
In this paper, on the basis of a (Fenchel) duality theory on the continuous level, we derive an error identity for arbitrary conforming approximations of a…