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Gas sensor investigation based on a catalytically activated thin-film thermopile for H2O2 detection
(2010)
Simultaneous detection of cyanide and heavy metals for environmental analysis by means of µISEs
(2010)
Shakedown analysis of two dimensional structures by an edge-based smoothed finite element method
(2010)
A novel scheme for precise diagnostics and effective stabilization of currents in a fuel cell stack
(2010)
Mathematik im ingenieurwissenschaftlichen Bachelorstudium : Lösung der Übungs- und Klausuraufgaben
(2010)
Realization of a calorimetric gas sensor on polyimide foil for applications in aseptic food industry
(2010)
Epilepsy
(2010)
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.