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Isogeometric analysis in electromagnetics: B-splines approximation

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A self-learning algorithm for biased molecular dynamics

Michele Ceriotti, Gareth Aneurin Tribello, Michele Parrinello

A new self-learning algorithm for accelerated dynamics, reconnaissance metadynamics, is proposed that is able to work with a very large number of collective coordinates. Acceleration of the dynamics is achieved by constructing a bias potential in terms of ...

National Academy of Sciences2010

Dynamics and Control of 2D SpiderCrane: A Lie-Bäcklund Approach

Dominique Bonvin, Philippe Müllhaupt

In this paper we present modeling and control of a multicable suspended mechanism called the ‘2D SpiderCrane’. The use of cables, and thus avoiding conventional heavy components, makes such a mechanism suitable for working at high transfer speeds. The init ...

2009

Iterative Geometric Design for Architecture

Yves Weinand, Ivo Stotz, Gilles Gouaty

This interdisciplinary research project presents a corporation of architects, mathematicians and computer scientists. The team researches new methods for the efficient realization of complex architectural shapes. The present work investigates methods of it ...

2009

Some properties of non-positively curved lattices

Nicolas Monod

We announce results on the structure of CAT(0) groups, CAT(0) lattices and of the underlying spaces. Our statements rely notably on a general study of the full isometry groups of proper CAT(0) spaces. Classical statements about Hadamard manifolds are estab ...

2008

Points surrounding the origin

János Pach, Andreas Fukami Holmsen

Suppose d > 2, n > d+1, and we have a set P of n points in d-dimensional Euclidean space. Then P contains a subset Q of d points such that for any p ∈ P, the convex hull of Q∪{p} does not contain the origin in its interior. We also show that for non-emp ...

2008

From space to superspace and back: Superspace Group Finder

Gervais Chapuis, Ivan Orlov

The symmetry of a commensurately modulated crystal structure can be described in two different ways: in terms of a conventional three-dimensional space group or using the superspace concept in (3 + d) dimensions. The three-dimensional space group is obtain ...

2008

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

Erik Burman, Benjamin Stamm

In this Note we prove that in one space dimension, the symmetric discontinuous Galerkin method for second order elliptic problems is stable for polynomial orders

p \ge 2

without using any stabilization parameter. The method yields optimal convergence rat ...

2007

Superrigidity for irreducible lattices and geometric splitting

Nicolas Monod

We prove general superrigidity results for actions of irreducible lattices on CAT(0) spaces; first, in terms of the ideal boundary, and then for the intrinsic geometry (including for infinite-dimensional spaces). In particular, one obtains a new and self-c ...

2006

Boundedly generated groups with pseudocharacter(s)

Nicolas Monod

A note presenting the first examples of groups that are boundedly generated, have property (T) and have a one-dimensional space of pseudocharacters. ...

2006

Exponential-Spline Wavelet Bases

Michaël Unser, Ildar Khalidov

We build a multiresolution analysis based on shift-invariant exponential B-spline spaces. We construct the basis functions for these spaces and for their orthogonal complements. This yields a new family of wavelet-like basis functions of

L _{ 2 }

, wit ...

IEEE2005

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p ≥ 2

Erik Burman, Benjamin Stamm

In this Note we prove that in one space dimension, the symmetric discontinuous Galerkin method for second order elliptic problems is stable for polynomial orders

p \ge 2

without using any stabilization parameter. The method yields optimal convergence rat ...

2007

Exponential-Spline Wavelet Bases

Michaël Unser, Ildar Khalidov

L _{ 2 }

, wit ...

IEEE2005