A posteriori error estimates for boundary-value problems related to the biharmonic operator

2001 ◽  
Vol 9 (2) ◽  
Author(s):  
P. Neittaanmäki ◽  
S. I. Repin
Keyword(s):  
Boundary Value Problems ◽  
Error Estimates ◽  
Boundary Value ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
Biharmonic Operator ◽  
A Posteriori ◽  
A Posteriori Error

scholarly journals A posteriori error estimates for elliptic boundary-value problems

1985 ◽  
Vol 39 (2) ◽  
pp. 159-168
Author(s):  
W. L. Chan
Keyword(s):  
Boundary Value Problems ◽  
Error Estimates ◽  
Linear Differential Operator ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
A Posteriori ◽  
Elliptic Boundary Value ◽  
Linear Differential

AbstractA posteriori error estimates for a class of elliptic unilateral boundary value problems are obtained for functions satisfying only part of the boundary conditions. Next, we give an alternative approach to the a posteriori error estimates for self-adjoint boundary value problems developed by Aubin and Burchard. Further, we are able to construct an alternative estimate with mild additional assumptions. An example of a linear differential operator of order 2k is given.

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