Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems

CALCOLO ◽  
2018 ◽  
Vol 55 (4) ◽  
Author(s):  
Gautam Singh ◽  
Srinivasan Natesan
Keyword(s):  
Galerkin Method ◽  
Boundary Value Problems ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Boundary Value ◽  
Singularly Perturbed ◽  
Point Boundary ◽  
Interior Penalties

scholarly journals A Galerkin method ofO(h2)for singular boundary value problems

2002 ◽  
Vol 29 (6) ◽  
pp. 361-369
Author(s):  
G. K. Beg ◽  
M. A. El-Gebeily
Keyword(s):  
Galerkin Method ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Basis Functions ◽  
Singular Boundary ◽  
Point Boundary ◽  
Singular Boundary Value Problems ◽  
Special Basis

We describe a Galerkin method with special basis functions for a class of singular two-point boundary value problems. The convergence is shown which is ofO(h2)for a certain subclass of the problems.

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