The broad research thematic of flows on networks was addressed in recent years by many
researchers, in the area of applied mathematics, with new models based on partial …

We consider the a posteriori error analysis and adaptive mesh design for discontinuous
Galerkin finite element approximations to systems of nonlinear hyperbolic conservation …

FastOpt's new automatic differentiation tool TAF is applied to the two-dimensional Navier–
Stokes solver NSC2KE. For a configuration that simulates the Euler flow around an NACA …

We present a sensitivity and adjoint calculus for the control of entropy solutions of scalar
conservation laws with controlled initial data and source term. The sensitivity analysis is …

We propose a rigorous procedure to obtain the adjoint-based gradient representation of cost
functionals for the optimal control of discontinuous solutions of conservation laws. Hereby, it …

In power plants, the aerodynamic optimization of turbine blades is crucial for efficiency
considerations. The profile of the turbine blade is described by Bézier polynomials, where …

Homeland security, transportation, and city planning depend upon well-designed
evacuation routes. You can't wait until the day of to realize your plan won't work. Designing …

In this paper we consider a posteriori error estimates for space-time finite element
discretizations for optimal control of hyperbolic partial dierential equations of second order. It …

In this paper, we discuss the efficiency of various numerical methods for the inverse design
of the Burgers equation, both in the viscous and in the inviscid case, in long time-horizons …

Starting from relaxation schemes for hyperbolic conservation laws we derive continuous and
discrete schemes for optimization problems subject to nonlinear, scalar hyperbolic …