6 citations · 16 across the 32 of their papers we have counts for
10 papers · 1 filter
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…
A Generic MATLAB Toolbox to Approximate PDEs Using Computational Geometry
Kiefer Green, Harbir Antil
This article introduces a general purpose framework and software to approximate partial differential equations (PDEs). The sparsity patterns of finite element discretized operators…
Neural Network Representation of Time Integrators
Rainald Löhner, Harbir Antil
Deep neural network (DNN) architectures are constructed that are the exact equivalent of explicit Runge-Kutta schemes for numerical time integration. The network weights and biases…
Efficient algorithms for Bayesian Inverse Problems with Whittle--Matérn Priors
Harbir Antil, Arvind K. Saibaba
This paper tackles efficient methods for Bayesian inverse problems with priors based on Whittle--Matérn Gaussian random fields. The Whittle--Matérn prior is characterized by a mean…