SCIENTIFIC AREAS

Numerical simulation techniques are an essential component for the construction, design and optimisation of cutting-edge technologies as for example innovative products, new materials as well as medical-technical applications and production processes. These important developments pose great demands on quality, reliability and capability of numerical methods, which are used for the simulation of these complex problems. Challenges are for example treatment of incompressibility, anisotropy and discontinuities. Existing computer-based solution methods often provide approximations which cannot guarantee substantial and necessary stability criteria. Especially in the field of geometrical and material non-linearities such uncertainties appear. Typical problems are insufficient or even pathological stress approximations due to unsuitable approximation spaces as well as weak convergence behaviour because of stiffening effects or mesh distortion. Similar problems arise in the framework of crack and contact problems. Here the resolution of the local discontinuities as well as their evolution plays a key role. The thematic ECCOMAS conference has the goal to establish a platform for the scientific exchange between mechanics, mathematics and applications in the area of non-conventional discretisation methods.

The conference addresses new developments in the field of numerical simulation technologies and their mathematical analysis. The motivation of the conference lies basically in the strong interplay between mathematics and mechanics – in particular for state of the art problems (geometrically and physically non-linear problems, e.g. associated with inelastic models or phase transitions; difficulties associated with anisotropies and incompressibility).

Possible scientific areas are (but not limited to):

Scaled boundary finite elements
Mixed and hybrid finite elements
Discontinuous Galerkin methods
Isogeometric elements
Immersed-boundary methods
Least-squares finite elements
Virtual elements
Stochastic finite element methods
Phase Field techniques