The Logarithmic finite element (LogFE) method extends the Ritz-Galerkin method to approximations on a non-linear finite-dimensional manifold in the infinitedimensional solution space. Formulating the interpolant on the logarithmic space allows for a novel treatment of the rotational component of the deformation, and induces a strong coupling between rotations and translations. The Logarithmic finite element method provides a transformation of the initial configuration that is not restricted to an isoparametric formulation.

An extension of the Ritz-Galerkin method, based on finding approximations on a finite-dimensional manifold of functions (i.e., not a linear subspace) in the infinite-dimensional exact configuration space, will be presented. This new approach is particularly efficient in computing geometrically exact solutions for problems involving large rotations.

Concurrent simulations of atomistic (discrete) and continuum models are one key to perform static calculations of large atomistic structures. Occurring ghost forces at the interfaces between discrete (atomistic) and continuous regions are a major challenge for the definition of such interfaces. The so called virtual projection method [1] is a class of force-based a/c schemes which reduce (or even avoid) ghost forces. This class of coupling schemes is able to deal with atomistic models consisting of bonded, multi-body ...

Fehler in der Tragwerksplanung können zu kinematischen (beweglichen) Tragwerken führen, die aus statischer Sicht unbrauchbar sind. Mit dem Ziel, den Statiker beim Auffinden und Beheben derartiger Fehler zu unterstützen, müssen spezielle Methoden entwickelt werden. Dieser Beitrag enthält einen Überblick über klassische und moderne Methoden. Dabei erfolgt eine Klassifizierung in indirekte, direkte, Ursachen-spezifische und akademische Methoden.