Seminar

des DFG-Sonderforschungsbereichs 393

Numerische Simulation auf massiv parallelen Rechnern

Zeit:	Montag, 8.7.2002, 11:30 Uhr
Ort:	Reichenhainer Straße 41, Zi. 238
Vortragender:	Prof. Christoph Schwab (ETH Zürich)
Thema:	Two-scale regularity and sparse grids for homogenization problems
We present a two-scale regularity theory for elliptic homogenization problems in d-dimensional domains D (d=1,2,3) with coefficients oscillating at period epsilon< We show that the solutions u(x,epsilon) allow for high regularity independent of epsilon if they are viewed as traces of certain functions in 2d-dimensions. We design a FEM on sparse grids in 2d-dimensions and establish robust in epsilon convergence rates for it. The complexity of the FEM is shown to equal, up to log(N), that of standard FEM in the physical d-dimensional domain on meshes of width epsilon [The results are joint work with A.M. Matache and were obtained in the Project `Homogenization and Multiple Scales 2000']
Das Seminar wird von Prof. Meyer geleitet. Interessenten sind herzlich eingeladen.