Workshop on

numerical methods for multiscale problems

 

     
  Homepage  
  Program  
  Registration  
  Participants  
  Abstracts
  Arbogast  
  Bartels  
  Brokate  
  Conti  
  Eberhard  
  Eck  
  Flad  
  Forster  
  Graham  
  Griebel  
  Hackbusch  
  Hackl  
  Kaiser  
  Kastner  
  Kruzik  
  Lelievre  
  Melenk  
  Miehe  
  Sauter  
  Schneider  
  Weikard  
 
     
  Markus Melenk: A two-scale regularity result for elliptic problems with periodic microstructure

We present regularity results for the solutions of a class of elliptic boundary value problems with rapidly oscillating, periodic coefficients. At the heart is a detailed analysis of the so-called unit-cell problem. Applications of our results include mesh design principles for the generalized FEM (gFEM). The gFEM introduced by A.-M. Matache and C. Schwab is a projection method with problem-adapted ansatz space that can lead to robust convergence, i.e., the convergence is independent of the coefficients' period. In this talk, we will review the gFEM and elaborate the bearing of our regularity results on it. The work presented is joint with A.-M. Matache.
Impressum
  This page was last modified Wed Nov 6 18:31:41 2002 by Ronald Kriemann.   Best viewed with any browser