Publications related to Optimal control of geodesics in Riemannian manifolds

Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity

We further develop on the study of the conditions for the existence of locally stable non-supersymmetric vacua with vanishing cosmological constant in supergravity models involving only chiral super fields. Starting from the two necessary conditions for fl ...

2006

Stability of spherically symmetric wave maps

Joachim Krieger

We study Wave Maps from R2+1 to the hyperbolic plane H-2 with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some H1+mu, mu > 0. We show that such Wave Maps don't develop singularities i ...

2006

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Optimal control and numerical adaptivity for advection-diffusion equations

Alfio Quarteroni, Luca Dede'

We propose a general approach for the numerical approximation of optimal control problems governed by a linear advection–diffusion equation, based on a stabilization method applied to the Lagrangian functional, rather than stabilizing the state and adjoint ...

EDP Sciences2005

Numerical integration of the three-dimensional Green kernel for an electromagnetic problem

Jacques Rappaz, Alexandre Masserey

In this paper, we present a method for the numerical integration of the three-dimensional Green kernel over two triangles. This method is compared with the results obtained by other algorithms. The comparison proves the efficiency of the technique in remov ...

2005

Fine-scale structures and negative-density regions: Comparison of numerical methods for solving the advection equation

Olivier Sauter, Laurent Villard

A common feature of the Vlasov equation is that it develops fine-scale filamentation as time evolves, as observed, for example, in global nonlinear simulations of the ion-temperature-gradient instability. From a numerical point of view, it is not trivial t ...

2005

New Hamiltonian eigensolvers with applications in control

Daniel Kressner

A new MATLAB toolbox for computing eigenvalues and invariant subspaces of Hamiltonian and skew-Hamiltonian matrices is described. Based on orthogonal symplectic decompositions, the implemented algorithms are both numerically backward stable and structure-p ...

2005

Branch-and-Prune Search Strategies for Numerical Constraint Solving

Boi Faltings, Marius-Calin Silaghi, Xuan-Ha Vu

When solving numerical constraints such as nonlinear equations and inequalities, solvers often exploit pruning techniques, which remove redundant value combinations from the domains of variables, at pruning steps. To find the complete solution set, most of ...

2005

Optimal control of geodesics in Riemannian manifolds

Klaus-Dieter Semmler, Roland Rozsnyo

Summary: We present a method based on an optimal control technique for numerical computations of geodesic paths between two fixed points of a Riemannian manifold under the assumption of existence. In this method, the control variable is the tangent vector ...

2004

Optimal control of an induction heating process for thixoforming

Jacques Rappaz, Alexandre Masserey

We investigate in this paper a numerical method to control the temperature of an induction heating process through electric current parameters such as frequency and current voltage imposed to the terminals of the inductor. We seek a sinusoidal voltage func ...

2004

Optimal control of geodesics in Riemannian manifolds

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Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity

Stability of spherically symmetric wave maps

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Optimal control and numerical adaptivity for advection-diffusion equations

Numerical integration of the three-dimensional Green kernel for an electromagnetic problem

Fine-scale structures and negative-density regions: Comparison of numerical methods for solving the advection equation

New Hamiltonian eigensolvers with applications in control

Branch-and-Prune Search Strategies for Numerical Constraint Solving

Optimal control of geodesics in Riemannian manifolds

Optimal control of an induction heating process for thixoforming

Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Numerical integration of the three-dimensional Green kernel for an electromagnetic problem

New Hamiltonian eigensolvers with applications in control

Stability of spherically symmetric wave maps

Optimal control and numerical adaptivity for advection-diffusion equations

Fine-scale structures and negative-density regions: Comparison of numerical methods for solving the advection equation

Branch-and-Prune Search Strategies for Numerical Constraint Solving

Optimal control of geodesics in Riemannian manifolds

Optimal control of an induction heating process for thixoforming