Integrating renewable resources within the transmission grid at a wide scale poses
significant challenges for economic dispatch as it requires analysis with more optimization …

This paper introduces a framework for solving alternating current optimal power flow
(ACOPF) problems using graphics processing units (GPUs). While GPUs have …

Numerical algorithms to solve mathematical optimization problems efficiently are essential to
applications in many areas of engineering and computational science. To solve optimization …

We propose a solution strategy for the large indefinite linear systems arising in interior
methods for nonlinear optimization. The method is suitable for implementation on hardware …

A design optimization framework is proposed for process parameters in additive
manufacturing. A finite element approximation of the coupled thermomechanical model is …

Large-scale simulations require efficient computation across the entire computing hierarchy.
A challenge of the Exascale Computing Project (ECP) was to reconcile highly …

Linear solvers are major computational bottlenecks in a wide range of decision support and
optimization computations. The challenges become even more pronounced on …

We present a solution of sparse alternating current optimal power flow (ACOPF) analysis on
graphical processing unit (GPU). In particular, we discuss the performance bottlenecks and …

Design optimization problems, eg, shape optimization, that involve deformable bodies in
unilateral contact are challenging as they require robust contact solvers, complex …

We present a quasi-Newton interior-point method appropriate for optimization problems with
pointwise inequality constraints in Hilbert function spaces. Among others, our methodology …