This paper introduces a new neutral hybrid discrete (in the limit continuous) solid CAD model for meshing applications within the Integrated Computational Environments, based on subdivision surfaces. The model uses the Boundary Representation for the CAD model topology and the Butterfly Interpolating subdivision scheme for definition of underlying curves and surfaces. It is automatically derive...

In this paper we consider a direct hypersingular integral approach to solve harmonic problems with nonlinear boundary conditions by using a practical variant of the Galerkin boundary element method. The proposed approach provides an almost optimal balance between the order of convergence and the numerical effort of work to compute the approximate solution. Numerical examples confirm the theoret...

A singular stochastic control problem with state constraints in two-dimensions is studied. We show that the free boundary between the control and no-action regions is approximately linear away from the state constraining boundaries. Proof of this result relies on connections with related optimal stopping problems. We provide an explicit solution to one such optimal stopping problem. Results of ...

The optimal pointwise control of the KdV equation is investigated with an objective of minimizing a given performance measure. The performance measure is specified as a quadratic functional of the final state and velocity functions along with the energy due to openand closed-loop controls. The minimization of the performance measure over the controls is subjected to the KdV equation with period...

A singular stochastic control problem with state constraints in two-dimensions is studied. We show that the free boundary between the control and no-action regions is approximately linear away from the state constraining boundaries. Proof of this result relies on connections with related optimal stopping problems. We provide an explicit solution to one such optimal stopping problem. Results of ...

Seeking the optimal control of spacecraft orbital maneuvers with non-smooth control logic in feedback sense, we extend our recently developed technique based on the Hamilton-Jacobi theory. Specifically we propose a new methodology stemming from the direct use of generating functions for solving optimal feedback control problem. Starting from the Hamilton-Jacobi equation for generating functions...

The landing of a passenger aircraft in the presence of a windshear is a threat to aviation safety. The present paper is concerned with the abort landing of an aircraft in such a serious situation. Mathematically, the ight maneuver can be described by a minimax optimal control problem. By transforming this minimax problem into an optimal control problem of standard form, a state constraint has t...

In this paper, we propose a domain embedding method associated with an optimal boundary control problem with boundary observations to solve elliptic problems. We prove that the optimal boundary control problem has a unique solution if the controls are taken in a finite dimensional subspace of the space of the boundary conditions on the auxiliary domain. Using a controllability theorem due to J....