A space-time formulation for multiscale phenomena

Space-time Multiscale Laminated Theory

Multiscale computational techniques in space and time are developed to study the impact response of thin, elastic, laminated composites. The displacement field is approximated using asymptotic expansion in space and time. Using the homogenization procedure in space and time, nonlocal membrane and bending equations of motion are derived. The nonlocal equations are stabilized to filter out the hi...

Multiscale Realization and Estimation for Space and Space-Time Problems

Discrete scale-space formulation and multiscale edge extraction

In den letzten Jahren hat sich die Skalenraum-Theorie in den verschiedensten Anwendungen bewährt. Die in der Literatur vorherrschenden MultiskalenVerfahren zur Kantenextraktion basieren auf der linearen Skalenraum-Theorie, sind jedoch nur für kontinuierliche Signale gültig. Dieser Beitrag fasst die Arbeiten aus meiner Dissertation über eine Erweiterung zu einer mehrdimensionalen diskreten Skale...

Blood flow multiscale phenomena.

The cardiovascular disease is one of most frequent cause deaths in modern society. The objective of this work is analyse the effect of dynamic vascular geometry (curvature, torsion, bifurcation) and pulsatile blood nature on secondary flow, wall shear stress and platelet deposition. The problem was examined as multi-scale physical phenomena using perturbation analysis and numerical modelling. T...

A space-time finite element formulation for fluid-structure interaction

We present a space-time finite element formulation of the Navier-Stokes equations which is stabilized via the Galerkin/least-squares approach. The variational equation is based on the time discontinuous Galerkin method and is written in terms of the physical entropy variables over the moving and deforming space-time slabs. The formulation thus becomes analogous to the classical arbitrary Lagran...