Matlab Database > Partial Differential Equations > Finite Element Method > Simplified Friction Problem

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Title: Simplified Friction Problem
Author: Stefan Hueeber
Institution: University of Stuttgart
Description: This program solves the 2D simplified friction problem
    - \Delta u + u = f   in  \Omega = (0,1)^2
with the conditions for simplified friction
  |du/dn| <= g   
  |du/dn| <  g  =>  u = 0   
  |du/dn| =  g  =>  u * (du/dn) <= 0  
on the the boundary of \Omega with g>0.
This problem leads to a variational inequality of the second kind. TH functional j(v) is replaced by the continuous differentibale one
            / |v|                if |v| >= eps 
 j_eps(v) = |                  
            \ 1/2(v^2/eps + eps) if |v| <  eps
Keywords: variational inequality of the second kind, penalty, simplified friction, finite elements
File Name:
File Size: 3 KB
File Version: 1.0
Matlab Version: 7.0 (R14)
Date: 2007-05-30
Downloads: 1197
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