TY - GEN N2 - Aim of this work is the examination of numerical methods for the solution of large systems of PDE's. The equations under consideration arise from chemically reacting flows. A focal point is the analysis of a finite element discretization with stabilized finite elements of degree two. Aspects of error estimation, solution techniques and mesh adaptivity are discussed with regard to the Navier-Stokes equations. Using a well established Navier-Stokes benchmark flow the discussed methods are verified. To cope with the huge systems arising from reactive flow problems a parallel multigrid method on locally refined meshes is presented. Finally, we will perform a simulation of a methane burner in a complex three dimensional geometry. We will use a detailed reaction mechanism with 39 chemical species. UR - https://archiv.ub.uni-heidelberg.de/volltextserver/5743/ A1 - Richter, Thomas ID - heidok5743 KW - parallel KW - multigrid KW - reactive flows KW - adaptive finite elements AV - public Y1 - 2005/// TI - Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems ER -