New interpolation results and applications to finite element methods for elliptic boundary value problems

2001 ◽  
Vol 9 (3) ◽  
Author(s):  
C. Bacuta ◽  
J. H. Bramble ◽  
J. E. Pasciak
Keyword(s):  
Finite Element ◽  
Boundary Value Problems ◽  
Finite Element Methods ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Elliptic Boundary Value

Finite-difference and finite-element methods of approximation

1971 ◽  
Vol 323 (1553) ◽  
pp. 155-165 ◽  
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Boundary Value Problems ◽  
Finite Element Methods ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Order Of Accuracy ◽  
Elliptic Boundary Value ◽  
Methods Of Approximation

The finite-difference and finite-element methods for approximating the solution of elliptic boundary-value problems are discussed. The analysis of the order of accuracy is outlined, and the results compared, with some comment on special problems connected with singularities.

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