Searches for Supersymmetry at the Tevatron

Both Tevatron experiments, D0 and CDF, have searched for signs of Supersymmetry in the present Run II data sample, using integrated luminosities of up to 260/pb collected in ppbar collisions at a center-of-mass energy of 1.96TeV. In these proceedings, new results are presented in the search for squarks and gluinos in the jets and missing transverse energy final state, associated production of charginos and neutralinos with multilepton final states, search for the rare decay B_s->mumu, searches allowing R-parity violation (muons+jets, multileptons), and searches in the gauge mediated supersymmetry breaking framework with the final state of two photons and missing transverse energy. In the absence of any significant deviation from Standard Model expectations, limits on the presence of new physics are set, which in many cases are the most stringent to date.Comment: To appear in the proceedings of 32nd International Conference on High-Energy Physics (ICHEP 04), Beijing, China, 16-22 Aug 200

New Charm(onium) Results from CDF

After many upgrades to the CDF detector and to the accelerator complex, Run II began in April 2001. The new detector has improved capabilities for charm physics, and first results from the analysis of early Tevatron Run II data are reported here.Comment: 6 pages, 4 figures, contribution to the DIS2003 workshop, St. Petersbur

Searches for New Phenomena at the Tevatron and at HERA

Recent results on searches for new physics at Run II of the Tevatron and highlights from HERA are reported. The searches cover many different final states and a wide range of models. All analyses have at this point led to negative results, but some interesting anomalies have been found.Comment: Invited talk at the XXVI Physics in Collisions Conference (PIC06), Buzios, Brasil, July 2006, 20 pages. PSN THUPL0

Extended Gauge Symmetries and Extra Dimensions at the Large Hadron Collider

The prospects for finding signs of extended gauge symmetries and extra dimensions at the LHC are reviewed

Hierarchical Preconditioners and Adaptivity for Kirchhoff-Plates

We describe a preconditioner for the Kirchhoff plate equation for use of Bogner-Fox-Schmidt finite elements based on a hierarchical technique

Implementierung eines parallelen vorkonditionierten Schur-Komplement CG-Verfahrens in das Programmpaket FEAP

A parallel realisation of the Conjugate Gradient Method with Schur-Complement preconditioning, based on a domain decomposition approach, is described in detail. Special kinds of solvers for the resulting interiour and coupling systems are presented. A large range of numerical results is used to demonstrate the properties and behaviour of this solvers in practical situations

The Laplace and the linear elasticity problems near polyhedral corners and associated eigenvalue problems

The solutions to certain elliptic boundary value problems have singularities with a typical structure near polyhedral corners. This structure can be exploited to devise an eigenvalue problem whose solution can be used to quantify the singularities of the given boundary value problem. It is necessary to parametrize a ball centered at the corner. There are different possibilities for a suitable parametrization; from the numerical point of view, spherical coordinates are not necessarily the best choice. This is why we do not specify a parametrization in this paper but present all results in a rather general form. We derive the eigenvalue problems that are associated with the Laplace and the linear elasticity problems and show interesting spectral properties. Finally, we discuss the necessity of widely accepted symmetry properties of the elasticity tensor. We show in an example that some of these properties are not only dispensable, but even invalid, although claimed in many standard books on linear elasticity

A priori error analysis for state constrained boundary control problems. Part II: Full discretization

This is the second of two papers concerned with a state-constrained optimal control problems with boundary control, where the state constraints are only imposed in an interior subdomain. We apply the virtual control concept introduced in [26] to regularize the problem. The arising regularized optimal control problem is discretized by finite elements and linear and continuous ansatz functions for the boundary control. In the first part of the work, we investigate the errors induced by the regularization and the discretization of the boundary control. The second part deals with the error arising from discretization of the PDE. Since the state constraints only appear in an inner subdomain, the obtained order of convergence exceeds the known results in the field of a priori analysis for state-constrained problems. The theoretical results are illustrated by numerical computations

A priori error analysis for state constrained boundary control problems : Part II: Full discretization

This is the second of two papers concerned with a state-constrained optimal control problems with boundary control, where the state constraints are only imposed in an interior subdomain. We apply the virtual control concept introduced in [26] to regularize the problem. The arising regularized optimal control problem is discretized by finite elements and linear and continuous ansatz functions for the boundary control. In the first part of the work, we investigate the errors induced by the regularization and the discretization of the boundary control. The second part deals with the error arising from discretization of the PDE. Since the state constraints only appear in an inner subdomain, the obtained order of convergence exceeds the known results in the field of a priori analysis for state-constrained problems. The theoretical results are illustrated by numerical computations

A priori error analysis for state constrained boundary control problems : Part I: Control discretization

This is the first of two papers concerned with a state-constrained optimal control problems with boundary control, where the state constraints are only imposed in an interior subdomain. We apply the virtual control concept introduced in [20] to regularize the problem. The arising regularized optimal control problem is discretized by finite elements and linear and continuous ansatz functions for the boundary control. In the first part of the work, we investigate the errors induced by the regularization and the discretization of the boundary control. The second part deals with the error arising from discretization of the PDE. Since the state constraints only appear in an inner subdomain, the obtained order of convergence exceeds the known results in the field of a priori analysis for state-constrained problem