These Lecture Notes have been compiled from the material presented by the second author
in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH …

We present multicomponent flow models derived from the kinetic theory of gases and
investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial …

We present an adaptive algorithm for low Mach number reacting flows with complex
chemistry. Our approach uses a form of the low Mach number equations that discretely …

In this work a new computational framework for the modeling of multi-dimensional laminar
flames with detailed gas-phase kinetic mechanisms is presented. The proposed approach is …

In this work, we applied and analyzed a new computational code, called laminarSMOKE, for
the numerical simulation of laminar flames in complex, multidimensional geometries with …

The dual weighted residual method (DWR) and its localization for mesh adaptivity applied to
elliptic partial differential equations are investigated. The contribution of this paper is twofold …

There are very few reference solutions in the literature on non-Boussinesq natural
convection flows. We propose here a test case problem which extends the well-known De …

In this work, we present an adaptive finite element method for the numerical simulation of
stationary fluid–structure interaction problems. The coupled system is given in a variational …

This study presents a coupled thermo-fluid-mechanical peridynamic model to predict
composite responses under fire scenarios. Three-layer laminated composite is modelled by …

We present a general method for error control and mesh adaptivity in Galerkin finite element
discretizations of partial differential equations. Our approach is based on the variational …