A moving discontinuous Galerkin finite element method for flows with interfaces
A Corrigan, AD Kercher… - International Journal for …, 2019 - Wiley Online Library
A moving discontinuous Galerkin finite element method with interface condition enforcement
is formulated for flows with discontinuous interfaces. The underlying weak formulation …
is formulated for flows with discontinuous interfaces. The underlying weak formulation …
Creating complex congestion patterns via multi-objective optimal freeway traffic control with application to cyber-security
This article presents a study on freeway networks instrumented with coordinated ramp
metering and the ability of such control systems to produce arbitrarily complex congestion …
metering and the ability of such control systems to produce arbitrarily complex congestion …
Continuous adjoint approach for the Spalart-Allmaras model in aerodynamic optimization
THIS paper contains a complete formulation of the continuous adjoint approach for the
shape optimization of an obstacle with a boundary S immersed in a fluid governed by the …
shape optimization of an obstacle with a boundary S immersed in a fluid governed by the …
Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis
We propose and compare methods for the analysis of extreme events in complex systems
governed by PDEs that involve random parameters, in situations where we are interested in …
governed by PDEs that involve random parameters, in situations where we are interested in …
PDE-constrained models with neural network terms: Optimization and global convergence
Recent research has used deep learning to develop partial differential equation (PDE)
models in science and engineering. The functional form of the PDE is determined by a …
models in science and engineering. The functional form of the PDE is determined by a …
Adjoint-based optimization on a network of discretized scalar conservation laws with applications to coordinated ramp metering
The adjoint method provides a computationally efficient means of calculating the gradient for
applications in constrained optimization. In this article, we consider a network of scalar …
applications in constrained optimization. In this article, we consider a network of scalar …
[图书][B] Control problems for conservation laws with traffic applications: modeling, analysis, and numerical methods
Conservation and balance laws on networks have been the subject of much research
interest given their wide range of applications to real-world processes, particularly traffic …
interest given their wide range of applications to real-world processes, particularly traffic …
Convergence of linearized and adjoint approximations for discontinuous solutions of conservation laws. Part 1: Linearized approximations and linearized output …
This paper analyzes the convergence of discrete approximations to the linearized equations
arising from an unsteady one-dimensional hyperbolic equation with a convex flux function. A …
arising from an unsteady one-dimensional hyperbolic equation with a convex flux function. A …
Modeling, control, and numerics of gas networks
In this chapter we survey recent progress on mathematical results on gas flow in pipe
networks with a special focus on questions of control and stabilization. We briefly present the …
networks with a special focus on questions of control and stabilization. We briefly present the …
Traffic regulation via controlled speed limit
We study an optimal control problem for traffic regulation via variable speed limit. The traffic
flow dynamics is described with the Lighthill--Whitham--Richards model with Newell …
flow dynamics is described with the Lighthill--Whitham--Richards model with Newell …