@article{GrajewskiKoesterTurek2010, author = {Grajewski, Matthias and K{\"o}ster, Michael and Turek, Stefam}, title = {Numerical analysis and implementational aspects of a new multilevel grid deformation method}, series = {Applied Numerical Mathematics}, volume = {60}, journal = {Applied Numerical Mathematics}, number = {8}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0168-9274}, doi = {10.1016/j.apnum.2010.03.017}, pages = {767 -- 781}, year = {2010}, abstract = {Recently, we introduced and mathematically analysed a new method for grid deformation (Grajewski et al., 2009) [15] we call basic deformation method (BDM) here. It generalises the method proposed by Liao et al. (Bochev et al., 1996; Cai et al., 2004; Liao and Anderson, 1992) [4], [6], [20]. In this article, we employ the BDM as core of a new multilevel deformation method (MDM) which leads to vast improvements regarding robustness, accuracy and speed. We achieve this by splitting up the deformation process in a sequence of easier subproblems and by exploiting grid hierarchy. Being of optimal asymptotic complexity, we experience speed-ups up to a factor of 15 in our test cases compared to the BDM. This gives our MDM the potential for tackling large grids and time-dependent problems, where possibly the grid must be dynamically deformed once per time step according to the user's needs. Moreover, we elaborate on implementational aspects, in particular efficient grid searching, which is a key ingredient of the BDM.}, language = {en} } @article{RieplPettrakFaulstichetal.2010, author = {Riepl, Herbert Matthias and Pettrak, J{\"u}rgen and Faulstich, Martin and Herrmann, Wolfgang Anton}, title = {Self metathesis of fatty alcohols and amines to provide monomers for polyester and polyamide products}, series = {Macromolecular Symposia}, volume = {293}, journal = {Macromolecular Symposia}, number = {1}, publisher = {Wiley-VCH}, address = {Weinheim}, issn = {1521-3900 (eISSN)}, doi = {10.1002/masy.200900041}, pages = {39 -- 42}, year = {2010}, abstract = {Self metathesis of oleochemicals offers a variety of bifunctional compounds, that can be used as monomer for polymer production. Many precursors are in huge scales available, like oleic acid ester (biodiesel), oleyl alcohol (tensides), oleyl amines (tensides, lubricants). We show several ways to produce and separate and purify C18-α,ω-bifunctional compounds, using Grubbs 2nd Generation catalysts, starting from technical grade educts.}, language = {en} }