scholarly journals Coupling nonlinear Stokes and Darcy flow using mortar finite elements

2011 ◽  
Vol 61 (11) ◽  
pp. 1198-1222 ◽  
Author(s):  
V.J. Ervin ◽  
E.W. Jenkins ◽  
S. Sun
Keyword(s):  
Finite Elements ◽  
Darcy Flow ◽  
Mortar Finite Elements

Convergence of a Contact-Neumann Iteration for the Solution of Two-Body Contact Problems

2003 ◽  
Vol 13 (08) ◽  
pp. 1103-1118 ◽  
Author(s):  
C. Eck ◽  
B. Wohlmuth
Keyword(s):  
Fixed Point ◽  
Finite Elements ◽  
Contact Problems ◽  
The Other ◽  
Fixed Point Iteration ◽  
Body Contact ◽  
Neumann Problems ◽  
Mortar Finite Elements ◽  
Contractive Operator ◽  
Continuous Setting

We study an iteration for the solution of two-body contact problems without friction based on one-sided contact problems for one body and Neumann problems for the other one. The convergence of this iteration is proved in the continuous setting by reformulating it as a fixed point iteration for a contractive operator. In addition, the application of the method with mortar finite elements is discussed, and the convergence of the corresponding discrete iteration is verified.

Mortar Finite Elements for Interface Problems

Computing ◽  
2004 ◽  
Vol 72 (3-4) ◽  
Author(s):  
B. P. Lamichhane ◽  
B. I. Wohlmuth
Keyword(s):  
Finite Elements ◽  
Interface Problems ◽  
Mortar Finite Elements
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