Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems

1996 ◽  
Vol 63 (1-2) ◽  
pp. 39-75 ◽  
Author(s):  
Gabriel N. Gatica ◽  
Gabriel N. Gatica ◽  
Wolfgang L. Wendland ◽  
Wolfgang L. Wendland
Keyword(s):  
Finite Elements ◽  
Elliptic Problems ◽  
Mixed Finite Elements ◽  
Boundary Elements ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic ◽  
Linear And Nonlinear

ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTION OF ELLIPTIC PROBLEMS IN CYLINDRICAL DOMAINS BECOMING UNBOUNDED

2002 ◽  
Vol 04 (01) ◽  
pp. 15-44 ◽  
Author(s):  
M. CHIPOT ◽  
A. ROUGIREL
Keyword(s):  
Asymptotic Behavior ◽  
Asymptotic Behaviour ◽  
Cross Section ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic ◽  
Cylindrical Domains ◽  
Linear And Nonlinear ◽  
The Cross

We study the asymptotic behavior of the solution of linear and nonlinear elliptic problems in cylindrical domains becoming unbounded in one or several directions. In particular we show that this solution converges in H1 norm toward the solution of problems set on the cross section of the domains.

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